Nanoscale RF CMOS Transceiver Design - TUC · Nanoscale RF CMOS Transceiver Design Angelos...

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions Nanoscale RF CMOS Transceiver Design Angelos Antonopoulos Department of Electronics & Computer Engineering Technical University of Crete February 23, 2014 1 / 65

Transcript of Nanoscale RF CMOS Transceiver Design - TUC · Nanoscale RF CMOS Transceiver Design Angelos...

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Nanoscale RF CMOS Transceiver Design

Angelos Antonopoulos

Department of Electronics & Computer EngineeringTechnical University of Crete

February 23, 2014

1 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Optimum Bias Point for RFIC design w. Technology Scaling?

Optimum Region for RFIC Design?

Aggressive CMOS technology scaling down to 28 nm.

RFICs under low voltage/power operation.

Suitable region for RFIC design ?

High overall performance w. min. power consumption.

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Optimum Bias Point for RFIC design w. Technology Scaling?

Optimum Region for RFIC Design?

Aggressive CMOS technology scaling down to 28 nm.

RFICs under low voltage/power operation.

Suitable region for RFIC design ?

High overall performance w. min. power consumption.

2 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Optimum Bias Point for RFIC design w. Technology Scaling?

Optimum Region for RFIC Design?

Aggressive CMOS technology scaling down to 28 nm.

RFICs under low voltage/power operation.

Suitable region for RFIC design ?

High overall performance w. min. power consumption.

2 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Optimum Bias Point for RFIC design w. Technology Scaling?

Optimum Region for RFIC Design?

Aggressive CMOS technology scaling down to 28 nm.

RFICs under low voltage/power operation.

Suitable region for RFIC design ?

High overall performance w. min. power consumption.

2 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Previous Work - Motivation

Open Issues

Taris et al., NanoTera 2011

OR ?

FoM = f (Gain,Noise,power , f ) ∝ (Gm/ID) · fT

C.-H. Chen, “Thermal noise in modernCMOS technologies,” in Solid StateCircuits Technologies, InTech, 2010.

Transistors might work in themoderate or weak inversionregion.

Channel noise models fortransistors working in these regions

Scaling issues of the active noisesources research area for futurestudies.

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Previous Work - Motivation

Open Issues

Taris et al., NanoTera 2011

OR ?

FoM = f (Gain,Noise,power , f ) ∝ (Gm/ID) · fT

C.-H. Chen, “Thermal noise in modernCMOS technologies,” in Solid StateCircuits Technologies, InTech, 2010.

Transistors might work in themoderate or weak inversionregion.

Channel noise models fortransistors working in these regions

Scaling issues of the active noisesources research area for futurestudies.

3 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Previous Work - Motivation

Open Issues

Taris et al., NanoTera 2011

OR ?

FoM = f (Gain,Noise,power , f ) ∝ (Gm/ID) · fT

C.-H. Chen, “Thermal noise in modernCMOS technologies,” in Solid StateCircuits Technologies, InTech, 2010.

Transistors might work in themoderate or weak inversionregion.

Channel noise models fortransistors working in these regions

Scaling issues of the active noisesources research area for futurestudies.

3 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Previous Work - Motivation

Open Issues

Figures of Merit representing RFIC behavior.

Simple and easy to evaluate.

Thermal noise in terms of RFIC design

Validation through RFIC design

IC = ID/Ispec

Ispec = 2nU2T µCox

WL

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Previous Work - Motivation

Open Issues

Figures of Merit representing RFIC behavior.

Simple and easy to evaluate.

Thermal noise in terms of RFIC design

Validation through RFIC design

IC = ID/Ispec

Ispec = 2nU2T µCox

WL

4 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Previous Work - Motivation

Open Issues

Figures of Merit representing RFIC behavior.

Simple and easy to evaluate.

Thermal noise in terms of RFIC design

Validation through RFIC design

IC = ID/Ispec

Ispec = 2nU2T µCox

WL

4 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Previous Work - Motivation

Open Issues

Figures of Merit representing RFIC behavior.

Simple and easy to evaluate.

Thermal noise in terms of RFIC design

Validation through RFIC design

IC = ID/Ispec

Ispec = 2nU2T µCox

WL

4 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

This Work

Outline

System to Block

Receiver blocks

Circuit Level

LNA Topologies

Device Level

Tapeout of an RF Test Chip in 90nm CMOS

Measurements and De-embedding

Small-signal analysis

Figures of Merit (FoM) for LNA Design

Thermal Noise

RF noise trendsNoise parameters essential for LNA design

Verification with EKV3 model

Circuit Level

30 GHz LNA

5 GHz LNA based on FoM

Conclusions

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

This Work

Outline

System to Block

Receiver blocks

Circuit Level

LNA Topologies

Device Level

Tapeout of an RF Test Chip in 90nm CMOS

Measurements and De-embedding

Small-signal analysis

Figures of Merit (FoM) for LNA Design

Thermal Noise

RF noise trendsNoise parameters essential for LNA design

Verification with EKV3 model

Circuit Level

30 GHz LNA

5 GHz LNA based on FoM

Conclusions

5 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

This Work

Outline

System to Block

Receiver blocks

Circuit Level

LNA Topologies

Device Level

Tapeout of an RF Test Chip in 90nm CMOS

Measurements and De-embedding

Small-signal analysis

Figures of Merit (FoM) for LNA Design

Thermal Noise

RF noise trendsNoise parameters essential for LNA design

Verification with EKV3 model

Circuit Level

30 GHz LNA

5 GHz LNA based on FoM

Conclusions

5 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

This Work

Outline

System to Block

Receiver blocks

Circuit Level

LNA Topologies

Device Level

Tapeout of an RF Test Chip in 90nm CMOS

Measurements and De-embedding

Small-signal analysis

Figures of Merit (FoM) for LNA Design

Thermal Noise

RF noise trendsNoise parameters essential for LNA design

Verification with EKV3 model

Circuit Level

30 GHz LNA

5 GHz LNA based on FoM

Conclusions

5 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

This Work

Outline

System to Block

Receiver blocks

Circuit Level

LNA Topologies

Device Level

Tapeout of an RF Test Chip in 90nm CMOS

Measurements and De-embedding

Small-signal analysis

Figures of Merit (FoM) for LNA Design

Thermal Noise

RF noise trendsNoise parameters essential for LNA design

Verification with EKV3 model

Circuit Level

30 GHz LNA

5 GHz LNA based on FoM

Conclusions

5 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

This Work

Outline

System to Block

Receiver blocks

Circuit Level

LNA Topologies

Device Level

Tapeout of an RF Test Chip in 90nm CMOS

Measurements and De-embedding

Small-signal analysis

Figures of Merit (FoM) for LNA Design

Thermal Noise

RF noise trendsNoise parameters essential for LNA design

Verification with EKV3 model

Circuit Level

30 GHz LNA

5 GHz LNA based on FoM

Conclusions

5 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Receiver Architectures

Transceiver and Building Blocks

Receiver architectures

Heterodyne (IF, problem of image)Direct conversion (zero IF)

Noise of cascaded stages

NF = 1 + (NF1−1) +NF2−1AP1

+ NFm−1AP1 ...AP(m−1)

Non-linearity of cascaded stages

1A2IIP3

= 1A2IIP3,1

+α2

1A2IIP3,2

+α2

1 β21

A2IIP3,2A

2IIP3,3

LNA should provide

Minimum noise figureModerately high gain, depending onthe application

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Receiver Architectures

Transceiver and Building Blocks

Receiver architectures

Heterodyne (IF, problem of image)Direct conversion (zero IF)

Noise of cascaded stages

NF = 1 + (NF1−1) +NF2−1AP1

+ NFm−1AP1 ...AP(m−1)

Non-linearity of cascaded stages

1A2IIP3

= 1A2IIP3,1

+α2

1A2IIP3,2

+α2

1 β21

A2IIP3,2A

2IIP3,3

LNA should provide

Minimum noise figureModerately high gain, depending onthe application

6 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Receiver Architectures

Transceiver and Building Blocks

Receiver architectures

Heterodyne (IF, problem of image)Direct conversion (zero IF)

Noise of cascaded stages

NF = 1 + (NF1−1) +NF2−1AP1

+ NFm−1AP1 ...AP(m−1)

Non-linearity of cascaded stages

1A2IIP3

= 1A2IIP3,1

+α2

1A2IIP3,2

+α2

1 β21

A2IIP3,2A

2IIP3,3

LNA should provide

Minimum noise figureModerately high gain, depending onthe application

6 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Receiver Architectures

Transceiver and Building Blocks

Receiver architectures

Heterodyne (IF, problem of image)Direct conversion (zero IF)

Noise of cascaded stages

NF = 1 + (NF1−1) +NF2−1AP1

+ NFm−1AP1 ...AP(m−1)

Non-linearity of cascaded stages

1A2IIP3

= 1A2IIP3,1

+α2

1A2IIP3,2

+α2

1 β21

A2IIP3,2A

2IIP3,3

LNA should provide

Minimum noise figureModerately high gain, depending onthe application

6 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Receiver Architectures

Transceiver and Building Blocks

Receiver architectures

Heterodyne (IF, problem of image)Direct conversion (zero IF)

Noise of cascaded stages

NF = 1 + (NF1−1) +NF2−1AP1

+ NFm−1AP1 ...AP(m−1)

Non-linearity of cascaded stages

1A2IIP3

= 1A2IIP3,1

+α2

1A2IIP3,2

+α2

1 β21

A2IIP3,2A

2IIP3,3

LNA should provide

Minimum noise figureModerately high gain, depending onthe application

6 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Matching

Power matching

Maximum power transfer to a load

ZL = Z ∗SInput matching

Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS

Zin+RSIdeally Γ = 0

Noise matching

YS = Yopt

Stability and Reverse Isolation

Feedback paths from the output to theinput may lead to instability

Stern stability factor

K = 1+|∆|2−|S11|2−|S22|22|S21||S12|

When K>1 andΔ<1 the circuit isunconditionally stable

Reverse isolation (-S12)

Improves stabilityReduces spurious LO tone at theantenna

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Matching

Power matching

Maximum power transfer to a load

ZL = Z ∗SInput matching

Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS

Zin+RSIdeally Γ = 0

Noise matching

YS = Yopt

Stability and Reverse Isolation

Feedback paths from the output to theinput may lead to instability

Stern stability factor

K = 1+|∆|2−|S11|2−|S22|22|S21||S12|

When K>1 andΔ<1 the circuit isunconditionally stable

Reverse isolation (-S12)

Improves stabilityReduces spurious LO tone at theantenna

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Matching

Power matching

Maximum power transfer to a load

ZL = Z ∗SInput matching

Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS

Zin+RSIdeally Γ = 0

Noise matching

YS = Yopt

Stability and Reverse Isolation

Feedback paths from the output to theinput may lead to instability

Stern stability factor

K = 1+|∆|2−|S11|2−|S22|22|S21||S12|

When K>1 andΔ<1 the circuit isunconditionally stable

Reverse isolation (-S12)

Improves stabilityReduces spurious LO tone at theantenna

7 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Matching

Power matching

Maximum power transfer to a load

ZL = Z ∗SInput matching

Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS

Zin+RSIdeally Γ = 0

Noise matching

YS = Yopt

Stability and Reverse Isolation

Feedback paths from the output to theinput may lead to instability

Stern stability factor

K = 1+|∆|2−|S11|2−|S22|22|S21||S12|

When K>1 andΔ<1 the circuit isunconditionally stable

Reverse isolation (-S12)

Improves stabilityReduces spurious LO tone at theantenna

7 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Matching

Power matching

Maximum power transfer to a load

ZL = Z ∗SInput matching

Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS

Zin+RSIdeally Γ = 0

Noise matching

YS = Yopt

Stability and Reverse Isolation

Feedback paths from the output to theinput may lead to instability

Stern stability factor

K = 1+|∆|2−|S11|2−|S22|22|S21||S12|

When K>1 andΔ<1 the circuit isunconditionally stable

Reverse isolation (-S12)

Improves stabilityReduces spurious LO tone at theantenna

7 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Matching

Power matching

Maximum power transfer to a load

ZL = Z ∗SInput matching

Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS

Zin+RSIdeally Γ = 0

Noise matching

YS = Yopt

Stability and Reverse Isolation

Feedback paths from the output to theinput may lead to instability

Stern stability factor

K = 1+|∆|2−|S11|2−|S22|22|S21||S12|

When K>1 andΔ<1 the circuit isunconditionally stable

Reverse isolation (-S12)

Improves stabilityReduces spurious LO tone at theantenna

7 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Matching

Power matching

Maximum power transfer to a load

ZL = Z ∗SInput matching

Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS

Zin+RSIdeally Γ = 0

Noise matching

YS = Yopt

Stability and Reverse Isolation

Feedback paths from the output to theinput may lead to instability

Stern stability factor

K = 1+|∆|2−|S11|2−|S22|22|S21||S12|

When K>1 andΔ<1 the circuit isunconditionally stable

Reverse isolation (-S12)

Improves stabilityReduces spurious LO tone at theantenna

7 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Power Gain

Voltage gain, AV should beoptimized

When Zin = Zout , AV = AP

Several types of power gain

Noise

Noise factor

F = SNRin/SNRoutIdeally F = 1NF = 10logF

Should be kept minimum

Power Dissipation

LNA consumes a small fraction of the overall RX power

However power dissipation should be minimized

Pcons has to be considered along w. the other FoM

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Power Gain

Voltage gain, AV should beoptimized

When Zin = Zout , AV = AP

Several types of power gain

Noise

Noise factor

F = SNRin/SNRoutIdeally F = 1NF = 10logF

Should be kept minimum

Power Dissipation

LNA consumes a small fraction of the overall RX power

However power dissipation should be minimized

Pcons has to be considered along w. the other FoM

8 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Power Gain

Voltage gain, AV should beoptimized

When Zin = Zout , AV = AP

Several types of power gain

Noise

Noise factor

F = SNRin/SNRoutIdeally F = 1NF = 10logF

Should be kept minimum

Power Dissipation

LNA consumes a small fraction of the overall RX power

However power dissipation should be minimized

Pcons has to be considered along w. the other FoM

8 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Power Gain

Voltage gain, AV should beoptimized

When Zin = Zout , AV = AP

Several types of power gain

Noise

Noise factor

F = SNRin/SNRoutIdeally F = 1NF = 10logF

Should be kept minimum

Power Dissipation

LNA consumes a small fraction of the overall RX power

However power dissipation should be minimized

Pcons has to be considered along w. the other FoM

8 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Power Gain

Voltage gain, AV should beoptimized

When Zin = Zout , AV = AP

Several types of power gain

Noise

Noise factor

F = SNRin/SNRoutIdeally F = 1NF = 10logF

Should be kept minimum

Power Dissipation

LNA consumes a small fraction of the overall RX power

However power dissipation should be minimized

Pcons has to be considered along w. the other FoM

8 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Power Gain

Voltage gain, AV should beoptimized

When Zin = Zout , AV = AP

Several types of power gain

Noise

Noise factor

F = SNRin/SNRoutIdeally F = 1NF = 10logF

Should be kept minimum

Power Dissipation

LNA consumes a small fraction of the overall RX power

However power dissipation should be minimized

Pcons has to be considered along w. the other FoM

8 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Power Gain

Voltage gain, AV should beoptimized

When Zin = Zout , AV = AP

Several types of power gain

Noise

Noise factor

F = SNRin/SNRoutIdeally F = 1NF = 10logF

Should be kept minimum

Power Dissipation

LNA consumes a small fraction of the overall RX power

However power dissipation should be minimized

Pcons has to be considered along w. the other FoM

8 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

LNA Requirements

LNA Requirements

Power Gain

Voltage gain, AV should beoptimized

When Zin = Zout , AV = AP

Several types of power gain

Noise

Noise factor

F = SNRin/SNRoutIdeally F = 1NF = 10logF

Should be kept minimum

Power Dissipation

LNA consumes a small fraction of the overall RX power

However power dissipation should be minimized

Pcons has to be considered along w. the other FoM

8 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

LNA topologies

Widely used LNA Topologies

Common Gate (CG)

Common Source (CS) (w. resistive feedback)

CS w. thermal noise cancellation

Cascode w. inductive degeneration

Transformer feedback

Certain pros and cons

Circuit topology dictated by the specific application the LNA has to serve

9 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

LNA topologies

Widely used LNA Topologies

Common Gate (CG)

Common Source (CS) (w. resistive feedback)

CS w. thermal noise cancellation

Cascode w. inductive degeneration

Transformer feedback

Certain pros and cons

Circuit topology dictated by the specific application the LNA has to serve

9 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

LNA topologies

Widely used LNA Topologies

Common Gate (CG)

Common Source (CS) (w. resistive feedback)

CS w. thermal noise cancellation

Cascode w. inductive degeneration

Transformer feedback

Certain pros and cons

Circuit topology dictated by the specific application the LNA has to serve

9 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

LNA topologies

Widely used LNA Topologies

Common Gate (CG)

Common Source (CS) (w. resistive feedback)

CS w. thermal noise cancellation

Cascode w. inductive degeneration

Transformer feedback

Certain pros and cons

Circuit topology dictated by the specific application the LNA has to serve

9 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

LNA topologies

Widely used LNA Topologies

Common Gate (CG)

Common Source (CS) (w. resistive feedback)

CS w. thermal noise cancellation

Cascode w. inductive degeneration

Transformer feedback

Certain pros and cons

Circuit topology dictated by the specific application the LNA has to serve

9 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

LNA topologies

Widely used LNA Topologies

Common Gate (CG)

Common Source (CS) (w. resistive feedback)

CS w. thermal noise cancellation

Cascode w. inductive degeneration

Transformer feedback

Certain pros and cons

Circuit topology dictated by the specific application the LNA has to serve

9 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

LNA topologies

Widely used LNA Topologies

Common Gate (CG)

Common Source (CS) (w. resistive feedback)

CS w. thermal noise cancellation

Cascode w. inductive degeneration

Transformer feedback

Certain pros and cons

Circuit topology dictated by the specific application the LNA has to serve

9 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

LNA topologies

Widely used LNA Topologies

Common Gate (CG)

Common Source (CS) (w. resistive feedback)

CS w. thermal noise cancellation

Cascode w. inductive degeneration

Transformer feedback

Certain pros and cons

Circuit topology dictated by the specific application the LNA has to serve

9 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Common Gate LNA

CG Stage w. Inductive Load

Input impedance

1/gms

Voltage gain

Av ≡ VoutVin

=R1

2RS

Thermal noise

F = 1 + γ + 4 RSR1

Limitation

Even if 4 RSR1 1 + γ , for γ=1, NF=3 dB

γ=1, very optimistic scenario

10 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Common Gate LNA

CG Stage w. Inductive Load

Input impedance

1/gms

Voltage gain

Av ≡ VoutVin

=R1

2RS

Thermal noise

F = 1 + γ + 4 RSR1

Limitation

Even if 4 RSR1 1 + γ , for γ=1, NF=3 dB

γ=1, very optimistic scenario

10 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Common Gate LNA

CG Stage w. Inductive Load

Input impedance

1/gms

Voltage gain

Av ≡ VoutVin

=R1

2RS

Thermal noise

F = 1 + γ + 4 RSR1

Limitation

Even if 4 RSR1 1 + γ , for γ=1, NF=3 dB

γ=1, very optimistic scenario

10 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Common Gate LNA

CG Stage w. Inductive Load

Input impedance

1/gms

Voltage gain

Av ≡ VoutVin

=R1

2RS

Thermal noise

F = 1 + γ + 4 RSR1

Limitation

Even if 4 RSR1 1 + γ , for γ=1, NF=3 dB

γ=1, very optimistic scenario

10 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Common Source LNA

CS Stage

CS topology w. resistive load

Capacitive input impedance

Zin =RS

1+ jωωp

, ωp = 1RS (Cgs+MCgd )

Miller factor, M = 1 +gm1RL

Capacitive feedback from output to input through Cgd

Poor reverse isolation

Cascode Stage

Cascode topology w. resistive load

Suffers from low gain

RL <VDD−VDS,sat1−VDS,sat2

IDFor VDS,sat = 0.25V , and VDD = 1.2V , AV = 15dB

Replace RL with an inductor load

11 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Common Source LNA

CS Stage

CS topology w. resistive load

Capacitive input impedance

Zin =RS

1+ jωωp

, ωp = 1RS (Cgs+MCgd )

Miller factor, M = 1 +gm1RL

Capacitive feedback from output to input through Cgd

Poor reverse isolation

Cascode Stage

Cascode topology w. resistive load

Suffers from low gain

RL <VDD−VDS,sat1−VDS,sat2

IDFor VDS,sat = 0.25V , and VDD = 1.2V , AV = 15dB

Replace RL with an inductor load

11 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Common Source LNA

CS Stage w. Resistive Feedback

RF senses the output voltage and returns a current to the input

Capacitive component due to Cgs still present

RF contributes to noise

F = 1 + 4 RSRF

+ γ(gm1 +gm2)RSNF exceeds 3 dB

CS Stage w. Noise Cancellation

Based on CS w. resistive feedback

Noise currents at points X and Y have equal sign

Signal voltages at X and Y have opposite signs

Noise cancellation

Vout,n = VY ,n−VX ,nAV⇒Avc =VY ,nVX ,n

= 1 +RFRS

AVFc = VoutVX

=−2 RFRS

12 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Common Source LNA

CS Stage w. Resistive Feedback

RF senses the output voltage and returns a current to the input

Capacitive component due to Cgs still present

RF contributes to noise

F = 1 + 4 RSRF

+ γ(gm1 +gm2)RSNF exceeds 3 dB

CS Stage w. Noise Cancellation

Based on CS w. resistive feedback

Noise currents at points X and Y have equal sign

Signal voltages at X and Y have opposite signs

Noise cancellation

Vout,n = VY ,n−VX ,nAV⇒Avc =VY ,nVX ,n

= 1 +RFRS

AVFc = VoutVX

=−2 RFRS

12 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Transformer Feedback LNA

Transformer Feedback LNA

Cgd canceled through an additional path from output to input

Cancellation whennk =

CgsCgd

n =√L22/L11

k = M/√L11L22

L11 used for source degeneration as well

k affects gain, input and output impedance

Complex equations

13 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Transformer Feedback LNA

Transformer Feedback LNA

Cgd canceled through an additional path from output to input

Cancellation whennk =

CgsCgd

n =√L22/L11

k = M/√L11L22

L11 used for source degeneration as well

k affects gain, input and output impedance

Complex equations

13 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Cascode LNA w. Inductive Degeneration

Cascode Stage w. Inductive Degeneration

Input impedance

Zin = 1sCgs + s(LS +LG ) + ωT LS

LS is chosen so that Real(Zin) = 50ΩLG is chosen so that Imag(Zin) = 0Zin purely reactive at ω0

Voltage gain

AV ≡VoutVin

=ωT2ω0· RLRS

Improves w. technology scaling

Noise factor

F = 1 +gmγRS (ω0ωT

)2

Power constrained noise optimization

Wopt,P ' 13ωLCox RS

Power constrained simultaneous noise impedance matching (SNIM)

Extra capacitance in parallel w. Cgs

14 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Existing topologies

Cascode LNA w. Inductive Degeneration

Cascode Stage w. Inductive Degeneration

Input impedance

Zin = 1sCgs + s(LS +LG ) + ωT LS

LS is chosen so that Real(Zin) = 50ΩLG is chosen so that Imag(Zin) = 0Zin purely reactive at ω0

Voltage gain

AV ≡VoutVin

=ωT2ω0· RLRS

Improves w. technology scaling

Noise factor

F = 1 +gmγRS (ω0ωT

)2

Power constrained noise optimization

Wopt,P ' 13ωLCox RS

Power constrained simultaneous noise impedance matching (SNIM)

Extra capacitance in parallel w. Cgs

14 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Implementation

Tapeout of an RF Test Chip

90 nm CMOS from TSMC

Chip area 3.5mm2

RF structures

10 n-MOS, 10 p-MOSMultifingerL = 240nm − 100nm

Two port network

15 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Implementation

Tapeout of an RF Test Chip

90 nm CMOS from TSMC

Chip area 3.5mm2

RF structures

10 n-MOS, 10 p-MOSMultifingerL = 240nm − 100nm

Two port network

15 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Implementation

Tapeout of an RF Test Chip

90 nm CMOS from TSMC

Chip area 3.5mm2

RF structures

10 n-MOS, 10 p-MOSMultifingerL = 240nm − 100nm

Two port network

15 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Measurements

RF and Noise Measurements

Schroter & Sakalas, TU Dresden

Chuck Coa

x s

witc

h

26-50 GHz

Amplifier

Network

Analyzer

PNAP1 P2

DUTGSG 50 GHz Probe

Tuner

MT984A

WG sw

itchLoad

Semiconductor

Parametzer Analyzer

SMU2SMU1

Coax switch changes S

paramater path to noise

measurement path amd plus CW power for

LO path!

2.4mm connector 50

GHz Gore Cable40cm

2.41mm connector 50

GHz Gore Cable40 cm

Nois

e s

ourc

e1G

Hz-5

0 G

Hz

Pulsed DC

28V

Impedance

Tuner Controller

Coax switch changes S

paramater path to noise source

path.

BUScable

Maury , ICCAP

32

RF, DC and Noise 8 -50 GHz noise/lopad pull measurement system

GSG 50 GHz Probe

Coax sw

itch

LO

Drive

Am

plif

ier

OU

TLO IN

Amplifier

1-26 GHzNoise Figure

Meter

TRIAX

Bias

Tee

Bias

Tee

TRIA

XIF 1-26 GHz

A

B

C

26-50 Hz Filter

Atte

nu

ato

r

Attenuator

CEDIC Laboratory Master plan Part 2

Prober PM 5: High frequency standard and special measurements

1. Noise Figure meter , Spectrum analyzer Agilent E 4448 A

2. PM 5

3. PNA 8361 C

4. RF switch, LNA, downconverer

5. RF switch

6. Tuner Maury MT 984A 8-50 GHz

7. Impedance Tuner controller

8. Set of waveguides (missing, SFB)

9. 75-110GHz WG-Coax adapter x2 (missing, SFB)

10. 75-110 GHz waveguide probes with BT (missing)

11. 75-110 GHz wg switch x2 (missing)

12. 75-110 GHz isolator x2 (missing)

13. 1GHz RF Gore cable x2 (40cm) missing

14. 75-110 GHz load (missing)

15. RF power amplifier (75-110 GHz) missing

16. LNA for noise parameter (NP) meas. (missing)

17. Downconverter for NP meas. 75-110 GHz to 1-26 GHz

(missing)

PM 5

1

2

3

4

5

6

7

16 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

De-embedding

RF and Noise De-embedding

RF De-embedding

Intrinsic performance of Device Under Test (DUT)

Improved three-step de-embedding (Vandamme et al., TED 2001)

Noise De-embedding

Noise characteristics of the DUT

Cascade configuration (Chen et al., TED 2001)

Verification

1 10 5010

−6

10−4

10−2

100

Frequency (GHz)

Y−

para

mete

rs (

S)

|y11,thru

|

|y22,short−open

|

|y12,short−open

|

17 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

De-embedding

RF and Noise De-embedding

RF De-embedding

Intrinsic performance of Device Under Test (DUT)

Improved three-step de-embedding (Vandamme et al., TED 2001)

Noise De-embedding

Noise characteristics of the DUT

Cascade configuration (Chen et al., TED 2001)

Verification

1 10 5010

−6

10−4

10−2

100

Frequency (GHz)

Y−

para

mete

rs (

S)

|y11,thru

|

|y22,short−open

|

|y12,short−open

|

17 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

De-embedding

RF and Noise De-embedding

RF De-embedding

Intrinsic performance of Device Under Test (DUT)

Improved three-step de-embedding (Vandamme et al., TED 2001)

Noise De-embedding

Noise characteristics of the DUT

Cascade configuration (Chen et al., TED 2001)

Verification

1 10 5010

−6

10−4

10−2

100

Frequency (GHz)

Y−

para

mete

rs (

S)

|y11,thru

|

|y22,short−open

|

|y12,short−open

|

17 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

De-embedding

RF and Noise De-embedding

RF De-embedding

Intrinsic performance of Device Under Test (DUT)

Improved three-step de-embedding (Vandamme et al., TED 2001)

Noise De-embedding

Noise characteristics of the DUT

Cascade configuration (Chen et al., TED 2001)

Verification

1 10 5010

−6

10−4

10−2

100

Frequency (GHz)

Y−

para

mete

rs (

S)

|y11,thru

|

|y22,short−open

|

|y12,short−open

|

17 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

De-embedding

RF and Noise De-embedding

RF De-embedding

Intrinsic performance of Device Under Test (DUT)

Improved three-step de-embedding (Vandamme et al., TED 2001)

Noise De-embedding

Noise characteristics of the DUT

Cascade configuration (Chen et al., TED 2001)

Verification

1 10 5010

−6

10−4

10−2

100

Frequency (GHz)

Y−

para

mete

rs (

S)

|y11,thru

|

|y22,short−open

|

|y12,short−open

|

17 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

De-embedding

RF and Noise De-embedding

RF De-embedding

Intrinsic performance of Device Under Test (DUT)

Improved three-step de-embedding (Vandamme et al., TED 2001)

Noise De-embedding

Noise characteristics of the DUT

Cascade configuration (Chen et al., TED 2001)

Verification

1 10 5010

−6

10−4

10−2

100

Frequency (GHz)

Y−

para

mete

rs (

S)

|y11,thru

|

|y22,short−open

|

|y12,short−open

|

17 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

De-embedding

RF and Noise De-embedding

RF De-embedding

Intrinsic performance of Device Under Test (DUT)

Improved three-step de-embedding (Vandamme et al., TED 2001)

Noise De-embedding

Noise characteristics of the DUT

Cascade configuration (Chen et al., TED 2001)

Verification

1 10 5010

−6

10−4

10−2

100

Frequency (GHz)

Y−

para

mete

rs (

S)

|y11,thru

|

|y22,short−open

|

|y12,short−open

|

17 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

De-embedding

RF De-embedding Results

NMOS (L = 100nm, W = 40x2um, VGS = 0.65V , VDS = 1.2V )

10−1

100

101

102

101

102

ID

/Ispec (−)

f T (

GH

z)

De−embedded

Measured

10−2

100

101

102

101

102

ID

/Ispec

(−)

f max (

GH

z)

De−embedded

Measured

PMOS (L = 100nm, W = 40x2um, VGS =−0.65V , VDS =−1.2V )

10−1

100

101

102

100

101

102

ID

/Ispec (−)

f T (

GH

z)

De−embedded

Measured

10−1

100

101

102

102

ID

/Ispec

(−)

f max (

GH

z)

De−embedded

Measured

18 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

De-embedding

Noise De-embedding Results

NMOS (L = 100nm, W = 40x2um, VGS = 0.65V , VDS = 1.2V )

8 10 12 14 16 18 200

1

2

3

Frequency (GHz)

NF

min

(d

B)

De−embedded

Measured

8 10 12 14 16 18 200

0.5

1

1.5

2

Frequency (GHz)

Rn

/50 (

−)

De−embedded

Measured

8 10 12 14 16 18 200.2

0.4

0.6

0.8

1

Frequency (GHz)

Mag

(Γo

pt)

(−)

De−embedded

Measured

8 10 12 14 16 18 200

20

40

60

80

100

Frequency (GHz)

∠Γ

op

t (d

eg

)

De−embedded

Measured

19 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

De-embedding

Noise De-embedding Results

PMOS (L = 100nm, W = 40x2um, VGS =−0.65V , VDS =−1.2V )

8 10 12 14 16 18 200

1

2

3

4

5

Frequency (GHz)

NF

min

(d

B)

De−embedded

Measured

8 10 12 14 16 18 200

0.5

1

1.5

2

2.5

3

Frequency (GHz)

Rn

/50 (

−)

De−embedded

Measured

8 10 12 14 16 18 200.2

0.4

0.6

0.8

1

Frequency (GHz)

Mag

(Γo

pt)

(−)

De−embedded

Measured

8 10 12 14 16 18 200

20

40

60

80

100

Frequency (GHz)

∠Γ

op

t (d

eg

)

De−embedded

Measured

20 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

HF Modeling

HF Modeling

With frequency increase design characteristics start todegrade

Gain, NFmin

At frequencies well below fT

(Quasi) Static operationImmediate current response to every voltagechange

Above quasi-static frequency,Ωqs

Charges need time to adjust to voltagechangesCharge density dependent on the past voltagevalues

Ωqs stands as a FoM

Frequency the device can reach wo.accounting for the extrinsic components

Performance degradation whenΩqs 5-7 times higherthan f0

MOS extrinsic part

Significant w. frequency increase

Connection between intrinsic and extrinsic parts

Source-drain extensionsParasitic resistances RS and RD

Simple equivalent circuit

Experiences limitations

21 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

HF Modeling

HF Modeling

With frequency increase design characteristics start todegrade

Gain, NFmin

At frequencies well below fT

(Quasi) Static operationImmediate current response to every voltagechange

Above quasi-static frequency,Ωqs

Charges need time to adjust to voltagechangesCharge density dependent on the past voltagevalues

Ωqs stands as a FoM

Frequency the device can reach wo.accounting for the extrinsic components

Performance degradation whenΩqs 5-7 times higherthan f0

MOS extrinsic part

Significant w. frequency increase

Connection between intrinsic and extrinsic parts

Source-drain extensionsParasitic resistances RS and RD

Simple equivalent circuit

Experiences limitations

21 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

HF Modeling

HF Modeling

With frequency increase design characteristics start todegrade

Gain, NFmin

At frequencies well below fT

(Quasi) Static operationImmediate current response to every voltagechange

Above quasi-static frequency,Ωqs

Charges need time to adjust to voltagechangesCharge density dependent on the past voltagevalues

Ωqs stands as a FoM

Frequency the device can reach wo.accounting for the extrinsic components

Performance degradation whenΩqs 5-7 times higherthan f0

MOS extrinsic part

Significant w. frequency increase

Connection between intrinsic and extrinsic parts

Source-drain extensionsParasitic resistances RS and RD

Simple equivalent circuit

Experiences limitations

21 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

Y-Parameters

Y-parameters: convenient way to extract FoM and device parameters

Y11 ∼= ω2RGC2G + jωCG

Y12 ∼=−ω2RGCGDCG − jωCGDY21 ∼= Gm−ω2RGCG (CGD +Cm)− jω(CGD +Cm)Y22 ∼= Gds + ω2RG (CGCBD +CGCGD +CGDCm) + jω(CBD +CGD)

CG = Imag(Y11)ω

CGD = Imag(Y12)ω

RG = Real(Y11)(Imag(Y11))2

22 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

Y-Parameters

Y-parameters: convenient way to extract FoM and device parameters

Y11 ∼= ω2RGC2G + jωCG

Y12 ∼=−ω2RGCGDCG − jωCGDY21 ∼= Gm−ω2RGCG (CGD +Cm)− jω(CGD +Cm)Y22 ∼= Gds + ω2RG (CGCBD +CGCGD +CGDCm) + jω(CBD +CGD)

CG = Imag(Y11)ω

CGD = Imag(Y12)ω

RG = Real(Y11)(Imag(Y11))2

22 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

Y-Parameters

Y-parameters: convenient way to extract FoM and device parameters

Y11 ∼= ω2RGC2G + jωCG

Y12 ∼=−ω2RGCGDCG − jωCGDY21 ∼= Gm−ω2RGCG (CGD +Cm)− jω(CGD +Cm)Y22 ∼= Gds + ω2RG (CGCBD +CGCGD +CGDCm) + jω(CBD +CGD)

CG = Imag(Y11)ω

CGD = Imag(Y12)ω

RG = Real(Y11)(Imag(Y11))2

22 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

Y-Parameters

Y-parameters: convenient way to extract FoM and device parameters

Y11 ∼= ω2RGC2G + jωCG

Y12 ∼=−ω2RGCGDCG − jωCGDY21 ∼= Gm−ω2RGCG (CGD +Cm)− jω(CGD +Cm)Y22 ∼= Gds + ω2RG (CGCBD +CGCGD +CGDCm) + jω(CBD +CGD)

CG = Imag(Y11)ω

CGD = Imag(Y12)ω

RG = Real(Y11)(Imag(Y11))2

22 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

fT, fmax and Gm/ID

Unity gain frequency (fT )

Frequency where current gain of a CS amplifier falls to unity

fT =fspot

Imag(Y11Y21

)

Can be extrapolated from h21 in S.I., saturation, where the slope is −20dB/dec

Maximum oscillation frequency (fmax)

Calculated through unilateral gain

Maximum available gain assuming neutralized device

U =|Y21−Y12 |2

4[real(Y11)Real(Y22)−Real(Y12)Real(Y21)]

fmax =√Uf spot

Can be extrapolated from U, in S.I., saturation

Transconductance efficiency (Gm/ID )

GmUTID

= 2n(√

4IC+1+1)

Maximum in W.I.

23 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

FoM for LNA Design

FoM(Gm/ID)fT

Transconductance frequency product (TFP)

TFP = (Gm/ID) · fT

Used to optimize low-power circuits(Mangla et al., MJ 2013)

Stands as a FoM for LNA design

FoMLPLNA = GV fRF(F−1)Pcons

(Gm/ID)fT in CS LNA

Vin

-GV ∝ gmCgsRSω

|@ωRF

-Pcons ∝ ID

-Fmin |MOS ∝ 1 + 1gmRS

⇒ FoM|LPLNA ∝gmfTID

24 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

FoM for LNA Design

FoM(Gm/ID)fT

Transconductance frequency product (TFP)

TFP = (Gm/ID) · fT

Used to optimize low-power circuits(Mangla et al., MJ 2013)

Stands as a FoM for LNA design

FoMLPLNA = GV fRF(F−1)Pcons

(Gm/ID)fT in CS LNA

Vin

-GV ∝ gmCgsRSω

|@ωRF

-Pcons ∝ ID

-Fmin |MOS ∝ 1 + 1gmRS

⇒ FoM|LPLNA ∝gmfTID

24 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

FoM for LNA Design

FoM(Gm/ID)fT

Transconductance frequency product (TFP)

TFP = (Gm/ID) · fT

Used to optimize low-power circuits(Mangla et al., MJ 2013)

Stands as a FoM for LNA design

FoMLPLNA = GV fRF(F−1)Pcons

(Gm/ID)fT in CS LNA

Vin

-GV ∝ gmCgsRSω

|@ωRF

-Pcons ∝ ID

-Fmin |MOS ∝ 1 + 1gmRS

⇒ FoM|LPLNA ∝gmfTID

24 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

FoM for LNA Design

FoM(Gm/ID)fT

Transconductance frequency product (TFP)

TFP = (Gm/ID) · fT

Used to optimize low-power circuits(Mangla et al., MJ 2013)

Stands as a FoM for LNA design

FoMLPLNA = GV fRF(F−1)Pcons

(Gm/ID)fT in CS LNA

Vin

-GV ∝ gmCgsRSω

|@ωRF

-Pcons ∝ ID

-Fmin |MOS ∝ 1 + 1gmRS

⇒ FoM|LPLNA ∝gmfTID

24 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

FoM for LNA Design

FoM(Gm/ID)fT

Transconductance frequency product (TFP)

TFP = (Gm/ID) · fT

Used to optimize low-power circuits(Mangla et al., MJ 2013)

Stands as a FoM for LNA design

FoMLPLNA = GV fRF(F−1)Pcons

(Gm/ID)fT in CS LNA

Vin

-GV ∝ gmCgsRSω

|@ωRF

-Pcons ∝ ID

-Fmin |MOS ∝ 1 + 1gmRS

⇒ FoM|LPLNA ∝gmfTID

24 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

FoM for LNA Design

FoM(Gm/ID)fT

Transconductance frequency product (TFP)

TFP = (Gm/ID) · fT

Used to optimize low-power circuits(Mangla et al., MJ 2013)

Stands as a FoM for LNA design

FoMLPLNA = GV fRF(F−1)Pcons

(Gm/ID)fT in CS LNA

Vin

-GV ∝ gmCgsRSω

|@ωRF

-Pcons ∝ ID

-Fmin |MOS ∝ 1 + 1gmRS

⇒ FoM|LPLNA ∝gmfTID

24 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

FoM for LNA Design

FoM(Gm/ID)fT

Transconductance frequency product (TFP)

TFP = (Gm/ID) · fT

Used to optimize low-power circuits(Mangla et al., MJ 2013)

Stands as a FoM for LNA design

FoMLPLNA = GV fRF(F−1)Pcons

(Gm/ID)fT in CS LNA

Vin

-GV ∝ gmCgsRSω

|@ωRF

-Pcons ∝ ID

-Fmin |MOS ∝ 1 + 1gmRS

⇒ FoM|LPLNA ∝gmfTID

24 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

FoM for LNA Design

FoM(Gm/ID)fT

Transconductance frequency product (TFP)

TFP = (Gm/ID) · fT

Used to optimize low-power circuits(Mangla et al., MJ 2013)

Stands as a FoM for LNA design

FoMLPLNA = GV fRF(F−1)Pcons

(Gm/ID)fT in CS LNA

Vin

-GV ∝ gmCgsRSω

|@ωRF

-Pcons ∝ ID

-Fmin |MOS ∝ 1 + 1gmRS

⇒ FoM|LPLNA ∝gmfTID

24 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

FoM for LNA Design

FoM(Gm/ID)fT

Transconductance frequency product (TFP)

TFP = (Gm/ID) · fT

Used to optimize low-power circuits(Mangla et al., MJ 2013)

Stands as a FoM for LNA design

FoMLPLNA = GV fRF(F−1)Pcons

(Gm/ID)fT in CS LNA

Vin

-GV ∝ gmCgsRSω

|@ωRF

-Pcons ∝ ID

-Fmin |MOS ∝ 1 + 1gmRS

⇒ FoM|LPLNA ∝gmfTID

24 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

FoM for LNA Design

FoM(Gm/ID)fT

Transconductance frequency product (TFP)

TFP = (Gm/ID) · fT

Used to optimize low-power circuits(Mangla et al., MJ 2013)

Stands as a FoM for LNA design

FoMLPLNA = GV fRF(F−1)Pcons

(Gm/ID)fT in CS LNA

Vin

-GV ∝ gmCgsRSω

|@ωRF

-Pcons ∝ ID

-Fmin |MOS ∝ 1 + 1gmRS

⇒ FoM|LPLNA ∝gmfTID

24 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

FoM for LNA Design

FoM(Gm/ID)fT

Transconductance frequency product (TFP)

TFP = (Gm/ID) · fT

Used to optimize low-power circuits(Mangla et al., MJ 2013)

Stands as a FoM for LNA design

FoMLPLNA = GV fRF(F−1)Pcons

(Gm/ID)fT in CS LNA

Vin

-GV ∝ gmCgsRSω

|@ωRF

-Pcons ∝ ID

-Fmin |MOS ∝ 1 + 1gmRS

⇒ FoM|LPLNA ∝gmfTID

24 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

G2m/ID and GTFP

G2m/ID

Recently (Song et al., EDL, 2008) it was shown that excluding fRF

FoMLPLNA = GP(F−1)Pcons ∝ (G2

mID

)2

Representative of cascode topology

Easy to evaluate from DC measurements

Has not been studied w. length scaling

GTFP

Combines TFP w. intrinsic voltage gain

GTFP = TFP( GmGds

)

Gm/Gds decreases w. length scaling

25 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

G2m/ID and GTFP

G2m/ID

Recently (Song et al., EDL, 2008) it was shown that excluding fRF

FoMLPLNA = GP(F−1)Pcons ∝ (G2

mID

)2

Representative of cascode topology

Easy to evaluate from DC measurements

Has not been studied w. length scaling

GTFP

Combines TFP w. intrinsic voltage gain

GTFP = TFP( GmGds

)

Gm/Gds decreases w. length scaling

25 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

G2m/ID and GTFP

G2m/ID

Recently (Song et al., EDL, 2008) it was shown that excluding fRF

FoMLPLNA = GP(F−1)Pcons ∝ (G2

mID

)2

Representative of cascode topology

Easy to evaluate from DC measurements

Has not been studied w. length scaling

GTFP

Combines TFP w. intrinsic voltage gain

GTFP = TFP( GmGds

)

Gm/Gds decreases w. length scaling

25 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

G2m/ID and GTFP

G2m/ID

Recently (Song et al., EDL, 2008) it was shown that excluding fRF

FoMLPLNA = GP(F−1)Pcons ∝ (G2

mID

)2

Representative of cascode topology

Easy to evaluate from DC measurements

Has not been studied w. length scaling

GTFP

Combines TFP w. intrinsic voltage gain

GTFP = TFP( GmGds

)

Gm/Gds decreases w. length scaling

25 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

G2m/ID and GTFP

G2m/ID

Recently (Song et al., EDL, 2008) it was shown that excluding fRF

FoMLPLNA = GP(F−1)Pcons ∝ (G2

mID

)2

Representative of cascode topology

Easy to evaluate from DC measurements

Has not been studied w. length scaling

GTFP

Combines TFP w. intrinsic voltage gain

GTFP = TFP( GmGds

)

Gm/Gds decreases w. length scaling

25 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

G2m/ID and GTFP

G2m/ID

Recently (Song et al., EDL, 2008) it was shown that excluding fRF

FoMLPLNA = GP(F−1)Pcons ∝ (G2

mID

)2

Representative of cascode topology

Easy to evaluate from DC measurements

Has not been studied w. length scaling

GTFP

Combines TFP w. intrinsic voltage gain

GTFP = TFP( GmGds

)

Gm/Gds decreases w. length scaling

25 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

G2m/ID and GTFP

G2m/ID

Recently (Song et al., EDL, 2008) it was shown that excluding fRF

FoMLPLNA = GP(F−1)Pcons ∝ (G2

mID

)2

Representative of cascode topology

Easy to evaluate from DC measurements

Has not been studied w. length scaling

GTFP

Combines TFP w. intrinsic voltage gain

GTFP = TFP( GmGds

)

Gm/Gds decreases w. length scaling

25 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

Non-linearities

Non-linearities expressed through

HarmonicsIntermodulation (two-tone test)

Mainly due to the non-linear ID-VG characteristic

Gm = ∂ ID∂VGS

, Gm2 = ∂ 2ID∂V 2

GS, Gm3 = ∂ 3ID

∂V 3GS

Metrics

P1dB =∣∣∣ Gm

13.8Gm3RS

∣∣∣PIP3 =

∣∣∣ 2Gm3Gm3RS

∣∣∣VIP3 =

√24GmGm3

Contradicting results in literature

Non-linearities behavior w. length scaling and inversion level

26 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

Non-linearities

Non-linearities expressed through

HarmonicsIntermodulation (two-tone test)

Mainly due to the non-linear ID-VG characteristic

Gm = ∂ ID∂VGS

, Gm2 = ∂ 2ID∂V 2

GS, Gm3 = ∂ 3ID

∂V 3GS

Metrics

P1dB =∣∣∣ Gm

13.8Gm3RS

∣∣∣PIP3 =

∣∣∣ 2Gm3Gm3RS

∣∣∣VIP3 =

√24GmGm3

Contradicting results in literature

Non-linearities behavior w. length scaling and inversion level

26 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

Non-linearities

Non-linearities expressed through

HarmonicsIntermodulation (two-tone test)

Mainly due to the non-linear ID-VG characteristic

Gm = ∂ ID∂VGS

, Gm2 = ∂ 2ID∂V 2

GS, Gm3 = ∂ 3ID

∂V 3GS

Metrics

P1dB =∣∣∣ Gm

13.8Gm3RS

∣∣∣PIP3 =

∣∣∣ 2Gm3Gm3RS

∣∣∣VIP3 =

√24GmGm3

Contradicting results in literature

Non-linearities behavior w. length scaling and inversion level

26 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Figures of Merit

Non-linearities

Non-linearities expressed through

HarmonicsIntermodulation (two-tone test)

Mainly due to the non-linear ID-VG characteristic

Gm = ∂ ID∂VGS

, Gm2 = ∂ 2ID∂V 2

GS, Gm3 = ∂ 3ID

∂V 3GS

Metrics

P1dB =∣∣∣ Gm

13.8Gm3RS

∣∣∣PIP3 =

∣∣∣ 2Gm3Gm3RS

∣∣∣VIP3 =

√24GmGm3

Contradicting results in literature

Non-linearities behavior w. length scaling and inversion level

26 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

TCAD Verification

FoM presented versus

Measured data for the 90 nm case

TCAD data for technology nodes of L=180, 90, 45, 22 nm

Verified w. EKV3

Validated w. measurements from other groups and ITRS 2011

10 20 50 100 18010

1

102

103

Channel length (nm)

f T (

GH

z)

line: fT ∝ 1/L

TCAD

[8], [44], [53], [54]

[6]

ITRS 2011

Measured, this work

10 20 50 100 18010

1

102

103

Channel length (nm)

f max (

GH

z)

TCAD

[1], [53]

[6]

ITRS 2011

Measured, this work

Antonopoulos et al., TED, 2013

27 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

TCAD Verification

FoM presented versus

Measured data for the 90 nm case

TCAD data for technology nodes of L=180, 90, 45, 22 nm

Verified w. EKV3

Validated w. measurements from other groups and ITRS 2011

10 20 50 100 18010

1

102

103

Channel length (nm)

f T (

GH

z)

line: fT ∝ 1/L

TCAD

[8], [44], [53], [54]

[6]

ITRS 2011

Measured, this work

10 20 50 100 18010

1

102

103

Channel length (nm)

f max (

GH

z)

TCAD

[1], [53]

[6]

ITRS 2011

Measured, this work

Antonopoulos et al., TED, 2013

27 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

TCAD Verification

FoM presented versus

Measured data for the 90 nm case

TCAD data for technology nodes of L=180, 90, 45, 22 nm

Verified w. EKV3

Validated w. measurements from other groups and ITRS 2011

10 20 50 100 18010

1

102

103

Channel length (nm)

f T (

GH

z)

line: fT ∝ 1/L

TCAD

[8], [44], [53], [54]

[6]

ITRS 2011

Measured, this work

10 20 50 100 18010

1

102

103

Channel length (nm)

f max (

GH

z)

TCAD

[1], [53]

[6]

ITRS 2011

Measured, this work

Antonopoulos et al., TED, 2013

27 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

TCAD Verification

FoM presented versus

Measured data for the 90 nm case

TCAD data for technology nodes of L=180, 90, 45, 22 nm

Verified w. EKV3

Validated w. measurements from other groups and ITRS 2011

10 20 50 100 18010

1

102

103

Channel length (nm)

f T (

GH

z)

line: fT ∝ 1/L

TCAD

[8], [44], [53], [54]

[6]

ITRS 2011

Measured, this work

10 20 50 100 18010

1

102

103

Channel length (nm)

f max (

GH

z)

TCAD

[1], [53]

[6]

ITRS 2011

Measured, this work

Antonopoulos et al., TED, 2013

27 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

TCAD Verification

FoM presented versus

Measured data for the 90 nm case

TCAD data for technology nodes of L=180, 90, 45, 22 nm

Verified w. EKV3

Validated w. measurements from other groups and ITRS 2011

10 20 50 100 18010

1

102

103

Channel length (nm)

f T (

GH

z)

line: fT ∝ 1/L

TCAD

[8], [44], [53], [54]

[6]

ITRS 2011

Measured, this work

10 20 50 100 18010

1

102

103

Channel length (nm)

f max (

GH

z)

TCAD

[1], [53]

[6]

ITRS 2011

Measured, this work

Antonopoulos et al., TED, 2013

27 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

h21 and U

Measured (L = 100nm,W = 10x2um, VDS = 1V )

109

1010

1011

1012

0

10

20

30

40

50

Frequency (Hz)

H2

1 (

dB

)

−20dB/dec

109

1010

1011

1012

0

10

20

30

40

50

Frequency (Hz)U

(d

B)

−20dB/dec

28 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

fT and fmax

TCAD and measured (W = 10x2um, VDS = 0.9V )

10−1

100

101

102

100

200

300

400

500

ID

/Ispec

(−)

fT (

GH

z)

TCAD 180 nm

TCAD 90nm

Meas 90nm

TCAD 45nm

TCAD 22nm

Model

10−1

100

101

102

0

200

400

600

800

ID

/Ispec

(−) f

max (

GH

z)

TCAD 180 nm

TCAD 90nm

Meas 90nm

TCAD 45nm

TCAD 22nm

Model

29 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

(Gm/ID)fT and G2m/ID

Measured (W = 40x2um, VDS = 1V )

10−1

100

101

102

101

102

103

ID

/Ispec

(−)

(Gm

/ID

)*f T

(G

Hz/V

)

L=240nm

L=180nm

L=120nm

L=100nm

10−1

100

101

102

10−2

10−1

100

Gm2

/ID

(S

2/A

)

ID

/Ispec

(−)

L=240nm

L=180nm

L=100nm

10−1

100

101

102

101

102

103

ID

/Ispec

(−)

(Gm

/ID

)*f T

(G

Hz/V

)

W=40 x 2 umV

DS=1 V

NMOS

PMOS

30 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

(Gm/ID)fT , G2m/ID and GTFP

TCAD and measured (W = 10x2um, VDS = 0.9V )

10−1

100

101

102

102

103

104

ID

/Ispec

(−)

Gm

/ID

*fT (

TF

P)

(GH

z/V

)

10−1

100

101

102

0

0.5

1

Gm2

/ID

(S

2/A

)

ID

/Ispec

(−)

L=180nm

L=90nm

L=45nm

L=22nm

10−1

100

101

102

103

104

ID

/Ispec

(−)

Gm

/ID

*Gm

/Gd

s*f

T (

GT

FP

) (G

Hz/V

)

0.02 0.04 0.06 0.08 0.1

1e4m

ax

(GT

FP

) (G

Hz/V

)

VEFF

=VGS

−VT (V)

22nm45nm

90nm

180nm

22nm45nm

90nm180nm

0.02 0.04 0.06 0.08 0.11e2

1e3

1e4

ma

x(T

FP

) (G

Hz/V

)

31 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

Non-Linearities

Measured (W = 40x2um, VDS = 1V , @f = 1.1GHz )

10−2

10−1

100

101

102

10−3

10−2

10−1

100

101

102

103

104

ID

/Ispec

(−)

Gm

(mS)

Gm2

(mS/V)

Gm3

(mS/V2)

10−2

10−1

100

101

102

−30

−20

−10

0

10

ID

/Ispec

(−)

P1

dB

(d

Bm

)

L=100nm

L=240nm

10−2

10−1

100

101

102

−20

−10

0

10

20

ID

/Ispec

(−)

PIP

3 (

dB

m)

L=100nm

L=240nm

10−2

10−1

100

101

102

10−1

100

101

ID

/Ispec

(−)

VIP

3 (

V)

L=100nm

L=240nm

Antonopoulos et al., RFIC Symp., 2013

32 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

Non-Linearities

TCAD (W = 10x2um, VDS = 0.9V )

10−2

10−1

100

101

102

−30

−20

−10

0

10

ID

/Ispec

(−)

P1

dB

(d

B)

L = 180 nm

L = 45 nm

L = 22 nm

10−2

10−1

100

101

102

−20

−10

0

10

20

ID

/Ispec

(−)P

IP3 (

dB

)

L = 180 nm

L = 45 nm

L = 22 nm

33 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on Small-Signal Analysis and LNA Performance

Trends in FoMs investigated vs.

Bias, L, and technology

Individual FoM show a shift to lower inversion level w. length scaling

Combined FoM show the same shift

Optimum LNA performance studied via (Gm/ID) · fT and G2m/ID

Experience the same behaviorOptimum value achieved in M.I.

Contribution

Optimum RF performance shifted toward around-threshold operation as planar bulkCMOS scales down to 22 nm

34 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on Small-Signal Analysis and LNA Performance

Trends in FoMs investigated vs.

Bias, L, and technology

Individual FoM show a shift to lower inversion level w. length scaling

Combined FoM show the same shift

Optimum LNA performance studied via (Gm/ID) · fT and G2m/ID

Experience the same behaviorOptimum value achieved in M.I.

Contribution

Optimum RF performance shifted toward around-threshold operation as planar bulkCMOS scales down to 22 nm

34 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on Small-Signal Analysis and LNA Performance

Trends in FoMs investigated vs.

Bias, L, and technology

Individual FoM show a shift to lower inversion level w. length scaling

Combined FoM show the same shift

Optimum LNA performance studied via (Gm/ID) · fT and G2m/ID

Experience the same behaviorOptimum value achieved in M.I.

Contribution

Optimum RF performance shifted toward around-threshold operation as planar bulkCMOS scales down to 22 nm

34 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on Small-Signal Analysis and LNA Performance

Trends in FoMs investigated vs.

Bias, L, and technology

Individual FoM show a shift to lower inversion level w. length scaling

Combined FoM show the same shift

Optimum LNA performance studied via (Gm/ID) · fT and G2m/ID

Experience the same behaviorOptimum value achieved in M.I.

Contribution

Optimum RF performance shifted toward around-threshold operation as planar bulkCMOS scales down to 22 nm

34 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on Small-Signal Analysis and LNA Performance

Trends in FoMs investigated vs.

Bias, L, and technology

Individual FoM show a shift to lower inversion level w. length scaling

Combined FoM show the same shift

Optimum LNA performance studied via (Gm/ID) · fT and G2m/ID

Experience the same behaviorOptimum value achieved in M.I.

Contribution

Optimum RF performance shifted toward around-threshold operation as planar bulkCMOS scales down to 22 nm

34 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on Small-Signal Analysis and LNA Performance

Trends in FoMs investigated vs.

Bias, L, and technology

Individual FoM show a shift to lower inversion level w. length scaling

Combined FoM show the same shift

Optimum LNA performance studied via (Gm/ID) · fT and G2m/ID

Experience the same behaviorOptimum value achieved in M.I.

Contribution

Optimum RF performance shifted toward around-threshold operation as planar bulkCMOS scales down to 22 nm

34 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Basics of Thermal Noise

Noise in Semiconductors

Random process

Even if the past values are known, the instantaneous value cannot be predicted

Power spectral density

Characterizes the average power the signal carries

Noise in a resistor: Representations

Norton equivalent: Svn (f ) = V 2n = 4kTR1 (V 2/Hz)

Thevenin equivalent: SIn (f ) = I2n = V 2n/R2

1 = 4kT/R1 (A2/Hz)

MOS Transistors

Flicker (1/f ) noiseThermal noiseInduced gate noise

35 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Basics of Thermal Noise

Noise in Semiconductors

Random process

Even if the past values are known, the instantaneous value cannot be predicted

Power spectral density

Characterizes the average power the signal carries

Noise in a resistor: Representations

Norton equivalent: Svn (f ) = V 2n = 4kTR1 (V 2/Hz)

Thevenin equivalent: SIn (f ) = I2n = V 2n/R2

1 = 4kT/R1 (A2/Hz)

MOS Transistors

Flicker (1/f ) noiseThermal noiseInduced gate noise

35 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Basics of Thermal Noise

Noise in Semiconductors

Random process

Even if the past values are known, the instantaneous value cannot be predicted

Power spectral density

Characterizes the average power the signal carries

Noise in a resistor: Representations

Norton equivalent: Svn (f ) = V 2n = 4kTR1 (V 2/Hz)

Thevenin equivalent: SIn (f ) = I2n = V 2n/R2

1 = 4kT/R1 (A2/Hz)

MOS Transistors

Flicker (1/f ) noiseThermal noiseInduced gate noise

35 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Basics of Thermal Noise

Noise in Semiconductors

Random process

Even if the past values are known, the instantaneous value cannot be predicted

Power spectral density

Characterizes the average power the signal carries

Noise in a resistor: Representations

Norton equivalent: Svn (f ) = V 2n = 4kTR1 (V 2/Hz)

Thevenin equivalent: SIn (f ) = I2n = V 2n/R2

1 = 4kT/R1 (A2/Hz)

MOS Transistors

Flicker (1/f ) noiseThermal noiseInduced gate noise

35 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Basics of Thermal Noise

Thermal Noise in MOSTs: A Short History

Hot research topic

Many groups (Birbas & Triantis, Enz & Roy, Schroter & Sakalas, Smit &Scholten, Deen & Chen,...)

Compact models (BSIM, PSP, EKV)

Noise description as a function of geometry, bias, scalingControversies in literature

Discrepancies

Excess noise in short devices and short channel effects (SCE)Noise parameters

Necessity to translate noise behavior of the device to circuit design

A lot of issues remain unclear and need to be clarified

36 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Basics of Thermal Noise

Thermal Noise in MOSTs: A Short History

Hot research topic

Many groups (Birbas & Triantis, Enz & Roy, Schroter & Sakalas, Smit &Scholten, Deen & Chen,...)

Compact models (BSIM, PSP, EKV)

Noise description as a function of geometry, bias, scalingControversies in literature

Discrepancies

Excess noise in short devices and short channel effects (SCE)Noise parameters

Necessity to translate noise behavior of the device to circuit design

A lot of issues remain unclear and need to be clarified

36 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Basics of Thermal Noise

Thermal Noise in MOSTs: A Short History

Hot research topic

Many groups (Birbas & Triantis, Enz & Roy, Schroter & Sakalas, Smit &Scholten, Deen & Chen,...)

Compact models (BSIM, PSP, EKV)

Noise description as a function of geometry, bias, scalingControversies in literature

Discrepancies

Excess noise in short devices and short channel effects (SCE)Noise parameters

Necessity to translate noise behavior of the device to circuit design

A lot of issues remain unclear and need to be clarified

36 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Basics of Thermal Noise

Thermal Noise in MOSTs: A Short History

Hot research topic

Many groups (Birbas & Triantis, Enz & Roy, Schroter & Sakalas, Smit &Scholten, Deen & Chen,...)

Compact models (BSIM, PSP, EKV)

Noise description as a function of geometry, bias, scalingControversies in literature

Discrepancies

Excess noise in short devices and short channel effects (SCE)Noise parameters

Necessity to translate noise behavior of the device to circuit design

A lot of issues remain unclear and need to be clarified

36 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Basics of Thermal Noise

Thermal Noise in MOSTs: A Short History

Hot research topic

Many groups (Birbas & Triantis, Enz & Roy, Schroter & Sakalas, Smit &Scholten, Deen & Chen,...)

Compact models (BSIM, PSP, EKV)

Noise description as a function of geometry, bias, scalingControversies in literature

Discrepancies

Excess noise in short devices and short channel effects (SCE)Noise parameters

Necessity to translate noise behavior of the device to circuit design

A lot of issues remain unclear and need to be clarified

36 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Thermal Noise in MOSTs: The EKV3 Model

Thermal noise due to local random fluctuations of the carrier velocity

Transferred to the device terminalsModeled as a random current added to the DC local current

Modeling approach

Local noisy sourcex and x+Δx from SourceL-x and L-(x+Δx) from DrainNoisy current source in parallel withΔRTransistor is split into T1 and T2Channel conductance: 1

Gch= 1

G1+ 1

G2Drain fluctuation due to local noise source: δ InD = Gch∆Rδ InPSD of drain current due to all noisy sources:

S∆In2

D(ω) =

∫ L0 G2

ch∆R2S

δ I2n(ω,x)

∆x dx

Modeling approach applicable to frequencies well beyond fT

37 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Thermal Noise in MOSTs: The EKV3 Model

Thermal noise due to local random fluctuations of the carrier velocity

Transferred to the device terminalsModeled as a random current added to the DC local current

Modeling approach

Local noisy sourcex and x+Δx from SourceL-x and L-(x+Δx) from DrainNoisy current source in parallel withΔRTransistor is split into T1 and T2Channel conductance: 1

Gch= 1

G1+ 1

G2Drain fluctuation due to local noise source: δ InD = Gch∆Rδ InPSD of drain current due to all noisy sources:

S∆In2

D(ω) =

∫ L0 G2

ch∆R2S

δ I2n(ω,x)

∆x dx

Modeling approach applicable to frequencies well beyond fT

37 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Thermal Noise in MOSTs: The EKV3 Model

Thermal noise due to local random fluctuations of the carrier velocity

Transferred to the device terminalsModeled as a random current added to the DC local current

Modeling approach

Local noisy sourcex and x+Δx from SourceL-x and L-(x+Δx) from DrainNoisy current source in parallel withΔRTransistor is split into T1 and T2Channel conductance: 1

Gch= 1

G1+ 1

G2Drain fluctuation due to local noise source: δ InD = Gch∆Rδ InPSD of drain current due to all noisy sources:

S∆In2

D(ω) =

∫ L0 G2

ch∆R2S

δ I2n(ω,x)

∆x dx

Modeling approach applicable to frequencies well beyond fT

37 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Thermal Noise of Long Channel Devices

Constant carrier mobility, μ

PSD of drain noise currentID = µW (−Qi )

dVdx

Gch =dIDdV = µ(−Qi )

WL

∆R = ∆VID

= ∆xW µ(−Qi )

Due to local noise source δIn: Sδ I2nD

(ω,x) = G2ch(x)∆R2(x)S

δ I2n(ω,x)

Due to all noise sources: S∆I2nD

(ω) =∫ L0 ( ∆x

L )2S

δ I2n (ω,x)∆x dx = 1

L2∫ Lo ∆xS

δ I2n(ω,x)dx

Introduction of noise conductance GnD

S∆I2nD

= 4kTGnD

GnD = µWL2∫ Lo (−Qi )dx = µ

L2 |QI |

38 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Thermal Noise of Long Channel Devices

Constant carrier mobility, μ

PSD of drain noise currentID = µW (−Qi )

dVdx

Gch =dIDdV = µ(−Qi )

WL

∆R = ∆VID

= ∆xW µ(−Qi )

Due to local noise source δIn: Sδ I2nD

(ω,x) = G2ch(x)∆R2(x)S

δ I2n(ω,x)

Due to all noise sources: S∆I2nD

(ω) =∫ L0 ( ∆x

L )2S

δ I2n (ω,x)∆x dx = 1

L2∫ Lo ∆xS

δ I2n(ω,x)dx

Introduction of noise conductance GnD

S∆I2nD

= 4kTGnD

GnD = µWL2∫ Lo (−Qi )dx = µ

L2 |QI |

38 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Thermal Noise of Long Channel Devices

Constant carrier mobility, μ

PSD of drain noise currentID = µW (−Qi )

dVdx

Gch =dIDdV = µ(−Qi )

WL

∆R = ∆VID

= ∆xW µ(−Qi )

Due to local noise source δIn: Sδ I2nD

(ω,x) = G2ch(x)∆R2(x)S

δ I2n(ω,x)

Due to all noise sources: S∆I2nD

(ω) =∫ L0 ( ∆x

L )2S

δ I2n (ω,x)∆x dx = 1

L2∫ Lo ∆xS

δ I2n(ω,x)dx

Introduction of noise conductance GnD

S∆I2nD

= 4kTGnD

GnD = µWL2∫ Lo (−Qi )dx = µ

L2 |QI |

38 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Short Channel Effects

Velocity Saturation (VS) and Carrier Heating (CH)

Electrons and holes have a characteristic Ec and usat

When Ex becomes comparable to Ec then udrift startsto saturate

High lateral electric field

Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field

VS and CH, interdependent phenomena

EKV3 accounts for both

Critical field parameter

λc =2UTLeff Ec

The higher the λc , the stronger the SCE

Channel Length Modulation (CLM)

In S.I. as VDS increases the channel pinches off

Channel is split into two regions

Non-saturated region (Leff )VS region,ΔL

Carriers in VS region

Maximum velocityNoise voltage fluctuations do not propagateto drain

Only the active region contributes to channel thermalnoise

39 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Thermal Noise of Short Channel Devices

Incorporating SCE in PSD of drain noise current (Roy and Enz, TED 2005)

S.I. assumption (SCE dominant)Two transistor approachEffective mobility µeff varies w. Ex

Thermal noise conductance

GnD = M WL2eff

∫ Leff0 µz

TCTL

(−Qi(x))dx

Leff =L, for VD<VDsatL−∆L, for VD≥VDsat

VDeff =VD , for VD<VDsatVDsat , for VD≥VDsat

M = 1(1− VDeff −VS

2Leff EC)2

Analytical expression

40 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Thermal Noise of Short Channel Devices

Incorporating SCE in PSD of drain noise current (Roy and Enz, TED 2005)

S.I. assumption (SCE dominant)Two transistor approachEffective mobility µeff varies w. Ex

Thermal noise conductance

GnD = M WL2eff

∫ Leff0 µz

TCTL

(−Qi(x))dx

Leff =L, for VD<VDsatL−∆L, for VD≥VDsat

VDeff =VD , for VD<VDsatVDsat , for VD≥VDsat

M = 1(1− VDeff −VS

2Leff EC)2

Analytical expression

40 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Thermal Noise Parameters

Thermal noise parameter: δ = GnDGds0

GnD and Gds0 calculated at different operating pointsLess relevant for circuit design

Thermal noise excess factor: γ = GnDGm

GnD and Gm calculated at the same operating pointsCharacterizes noise performance of transconductors

Used in noise calculation of cascode LNA: Fmin = 1 + 2γω

ωT

√βGγ

(1−c)2

The smaller γ, the better the noise performanceDramatically increases in linear operation

Importance of γ underestimated by scientific community

Not validated w. measurementsδ instead of γ

41 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Thermal Noise Parameters

Thermal noise parameter: δ = GnDGds0

GnD and Gds0 calculated at different operating pointsLess relevant for circuit design

Thermal noise excess factor: γ = GnDGm

GnD and Gm calculated at the same operating pointsCharacterizes noise performance of transconductors

Used in noise calculation of cascode LNA: Fmin = 1 + 2γω

ωT

√βGγ

(1−c)2

The smaller γ, the better the noise performanceDramatically increases in linear operation

Importance of γ underestimated by scientific community

Not validated w. measurementsδ instead of γ

41 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

The EKV3 Approach

Thermal Noise Parameters

Thermal noise parameter: δ = GnDGds0

GnD and Gds0 calculated at different operating pointsLess relevant for circuit design

Thermal noise excess factor: γ = GnDGm

GnD and Gm calculated at the same operating pointsCharacterizes noise performance of transconductors

Used in noise calculation of cascode LNA: Fmin = 1 + 2γω

ωT

√βGγ

(1−c)2

The smaller γ, the better the noise performanceDramatically increases in linear operation

Importance of γ underestimated by scientific community

Not validated w. measurementsδ instead of γ

41 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Two-Port Noise Theory

Noise in Two-Port

Noise generated by any two-port device

Noiseless network w. two partially correlatednoise sources4 noise parameters

F = Fmin + RnGs|Ys −Yopt |2

Minimum noise figure, FminNoise resistance, RnOptimum source reflection coefficient, ΓoptYopt = Y0

1−Γopt1+Γopt

Noise matching when

GS = Gopt and BS = Bopt

42 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Two-Port Noise Theory

Noise in Two-Port

Noise generated by any two-port device

Noiseless network w. two partially correlatednoise sources4 noise parameters

F = Fmin + RnGs|Ys −Yopt |2

Minimum noise figure, FminNoise resistance, RnOptimum source reflection coefficient, ΓoptYopt = Y0

1−Γopt1+Γopt

Noise matching when

GS = Gopt and BS = Bopt

42 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Two-Port Noise Theory

Noise in Two-Port

Noise generated by any two-port device

Noiseless network w. two partially correlatednoise sources4 noise parameters

F = Fmin + RnGs|Ys −Yopt |2

Minimum noise figure, FminNoise resistance, RnOptimum source reflection coefficient, ΓoptYopt = Y0

1−Γopt1+Γopt

Noise matching when

GS = Gopt and BS = Bopt

42 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

HF Noise Parameters vs. Frequency

NMOS (L = 100nm,W = 40x2um, VGS = 0.65V ,VDS = 1.2V )

8 10 12 14 16 18 200

1

2

3

NF

min

(d

B)

Frequency (GHz)8 10 12 14 16 18 20

0

1

2

Rn

/50 (

−)

8 10 12 14 16 18 200

0.5

1

1.5

Frequency (GHz)

Γo

pt (

−)

real(Γopt

)

imag(Γopt

)

NMOS (L = 240nm,W = 40x2um, VGS = 0.65V ,VDS = 1.2V )

8 10 12 14 16 18 200

1

2

3

4

NF

min

(d

B)

Frequency (GHz)8 10 12 14 16 18 20

0

1

2

Rn

/50 (

−)

8 10 12 14 16 18 20

0

0.2

0.4

0.6

0.8

1

Frequency (GHz)

Γo

pt (

−)

real(Γopt

)

imag(Γopt

)

43 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

HF Noise Parameters vs. Frequency

PMOS (L = 100nm,W = 40x2um, VGS =−0.65V ,VDS =−1.2V )

8 10 12 14 16 18 200

1

2

3

4

NF

min

(d

B)

Frequency (GHz)8 10 12 14 16 18 20

0

1

2

Rn

/50 (

−)

8 10 12 14 16 18 200

0.5

1

1.5

Frequency (GHz)

Γo

pt (

−)

real(Γopt

)

imag(Γopt

)

PMOS (L = 240nm,W = 40x2um, VGS =−0.65V ,VDS =−1.2V )

8 10 12 14 16 18 200

1

2

3

4

5

NF

min

(d

B)

Frequency (GHz)8 10 12 14 16 18 20

0

1

2

Rn

/50 (

−)

8 10 12 14 16 18 200

0.2

0.4

0.6

0.8

1

Frequency (GHz)

Γo

pt (

−)

real(Γopt

)

imag(Γopt

)

44 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

HF Noise Parameters vs. Bias

NMOS (W = 40x2um, VDS = 1.2V , f = 10GHz)

100

101

102

0

1

2

3

NF

min

(d

B)

ID

/Ispec

(−)10

010

110

21e−1

1e0

1e1

1e2

Gass (

dB

)

100

101

102

20

30

40

50

60

70

Rn (

Ω)

ID

/Ispec

(−)

L=100nm

L=240nm

100

101

1020

0.2

0.4

0.6

0.8

1

|Γo

pt|

(−)

100

101

102

0

1

2

3

NF

min

(d

B)

ID

/Ispec

(−)

L=100nm

L=180nm

L=240nm

10 20 30 600

0.5

1

1.5

2

ID

/Ispec

(−)

min

(NF

min

) (d

B)

L=100nm

L=120nm

L=150nm

L=180nm

L=240nm

EKV3

Antonopoulos et al., RFIC Symp. 2013

45 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

PSD of Drain Noise Current

NMOS and PMOS(W = 40x2um, |VDS |= 1.2V )

8 10 12 14 16 18 20

10−21

10−20

Frequency (GHz)

Sid

(A

2/H

z)

NMOS 240 nm

NMOS 180 nm

NMOS 150 nm

NMOS 120 nm

NMOS 100 nm

8 10 12 14 16 18 20

10−22

10−21

Frequency (GHz)

Sid

(A

2/H

z)

PMOS 240 nm

PMOS 180 nm

PMOS 120 nm

PMOS 100 nm

100

101

102

10−23

10−22

10−21

10−20

ID

/Ispec

(−)

Sid

(A

2/H

z)

NMOS 240 nm

NMOS 180 nm

NMOS 150 nm

NMOS 120 nm

NMOS 100 nm

PMOS 120nm

PMOS 100nm

Antonopoulos et al., IJNM 2014

46 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

PSD of Drain Noise Current

NMOS (W = 40x2um, VDS = 1.2V , f = 10GHz)

0.5 0.6 0.7 0.8 0.9 1

10−21

10−20

VGS

(V)

Sid

(A

2/H

z)

100nm meas.

100nm model w. SCEs

100nm model wo.SCEs

180nm meas.

180nm model w. SCEs

180nm model wo. SCEs

100 120 180 240

10−21

10−20

Channel Length (nm)

Sid

(A

2/H

z)

VGS

=0.5V

VGS

=0.65V

VGS

=0.8V

VGS

=1V

Antonopoulos et al., TED 2013

47 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

Design Parameters

NMOS (W = 40x2um, VDS = 1.2V , f = 10GHz)

0 5 10 15 200

1

2

3

4

vp=(V

G−V

To)/(n*U

T) (−)

Th

erm

al

No

ise

Ex

ce

ss

Fa

cto

r, γ

(−

)

100nm meas.

120nm meas.

180nm meas.

240nm meas.

Model w. SCEs

100

101

102

0

1

2

3

4

ID

/Ispec

(−)

Th

erm

al

No

ise

Ex

ce

ss

Fa

cto

r, γ

(−

)

100nm meas.

100nm model wo. SCEs

120nm meas.

120nm model wo. SCEs

180nm meas.

180nm model wo. SCEs

240nm meas.

240nm model wo. SCEs

model w. SCEs

100 120 180 240

1

2

3

4

5

Channel Length (nm)Th

erm

al N

ois

e E

xcess F

acto

r, γ

(−

)

VGS

=1V

VGS

=0.8V

VGS

=0.65V

VGS

=0.5V

100 120 180 240

0.6

0.8

1

1.2

1.4

1.6

1.8

Channel Length (nm)Th

erm

al

No

ise

P

ara

me

ter,

δ (

−)

δ=2/3

VGS

=1V

Model (VGS

=1V)

VGS

=0.65V

Model (VGS

=0.65V)

[23]

[24]

[18]

[4]

Antonopoulos et al., TED 2013

48 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

Thermal Noise Parameter, δ

40 50 100 200 500 1000 20000

0.671

2

3

4

5

6

7

8

Channel length (nm)

Th

erm

al N

ois

e P

ara

mete

r, δ

(−

)

Patalay_2009_Gate_Length_VGS0.8_VDS1.1

Han_2003_VDS1.8

This_work_2013_VDS1.2

Smit_2014_Gate_Length_VGS1_VDS1.2

Chen_2002_VDS1.5

Scholten_2003_VDS1.8_VGS1.0

Ou_1999_VDS2

Triantis_1996_VGS0.5

Abidi_1986_VDS4

Jindal_1985

VGS=0.72VVDS=5V

VGS=0.6V

VGS=1.8V

VGS=0.65VVGS=1V

VGS=0.72VVDS=2V

VGS=0.97VVDS=3V

VGS=0.97VVDS=0.5V

VGS=1.1VVDS=0.5V

VGS=1.1VVDS=3V

VGS=1.2VVDS=3V

VGS=1.2VVDS=0.5V

VDS=2V

VDS=5V

VGS=1V

VGS=2V

VGS=3V

VGS=4V

VGS=5V

VGS=2V

VGS=0.9V

49 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Results and Discussion

Gate Current Noise

NMOS (W = 40x2um, VDS = 1.2V )

Correlation factor: c =Sigid∗√SigSid

8 10 2410

−24

10−23

10−22

Frequency (GHz)

Sig

(A

2/H

z)

Sig

∝ f2

L=100nm

L=180nm

0.5 0.6 0.7 0.8 0.910

−24

10−23

10−22

VGS

(V)

Sig

(A

2/H

z)

L=100nm

L=180nm

8 10 12 14 16 18 200

0.2

0.4

0.6

0.8

1

Frequency (GHz)

Im

ag

(c)

(−

)

Antonopoulos et al., TED 2013

50 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on High Frequency Noise

Detailed investigation of RF noise in MOSFETs in the context of circuit design

Frequency, L, and bias

Thermal noise excess factor measurements for the first time

SCE on thermal noise and γ

VS, CH, CLM

Optimum noise performance

Vicinity of S.I. to M.I.

Contribution

Thermal noise excess factor measurement and modeling for the first time

Minimum noise expected to shift to even lower inversion levels with more advancedtechnologies

51 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on High Frequency Noise

Detailed investigation of RF noise in MOSFETs in the context of circuit design

Frequency, L, and bias

Thermal noise excess factor measurements for the first time

SCE on thermal noise and γ

VS, CH, CLM

Optimum noise performance

Vicinity of S.I. to M.I.

Contribution

Thermal noise excess factor measurement and modeling for the first time

Minimum noise expected to shift to even lower inversion levels with more advancedtechnologies

51 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on High Frequency Noise

Detailed investigation of RF noise in MOSFETs in the context of circuit design

Frequency, L, and bias

Thermal noise excess factor measurements for the first time

SCE on thermal noise and γ

VS, CH, CLM

Optimum noise performance

Vicinity of S.I. to M.I.

Contribution

Thermal noise excess factor measurement and modeling for the first time

Minimum noise expected to shift to even lower inversion levels with more advancedtechnologies

51 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on High Frequency Noise

Detailed investigation of RF noise in MOSFETs in the context of circuit design

Frequency, L, and bias

Thermal noise excess factor measurements for the first time

SCE on thermal noise and γ

VS, CH, CLM

Optimum noise performance

Vicinity of S.I. to M.I.

Contribution

Thermal noise excess factor measurement and modeling for the first time

Minimum noise expected to shift to even lower inversion levels with more advancedtechnologies

51 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on High Frequency Noise

Detailed investigation of RF noise in MOSFETs in the context of circuit design

Frequency, L, and bias

Thermal noise excess factor measurements for the first time

SCE on thermal noise and γ

VS, CH, CLM

Optimum noise performance

Vicinity of S.I. to M.I.

Contribution

Thermal noise excess factor measurement and modeling for the first time

Minimum noise expected to shift to even lower inversion levels with more advancedtechnologies

51 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Contribution

Conclusions on High Frequency Noise

Detailed investigation of RF noise in MOSFETs in the context of circuit design

Frequency, L, and bias

Thermal noise excess factor measurements for the first time

SCE on thermal noise and γ

VS, CH, CLM

Optimum noise performance

Vicinity of S.I. to M.I.

Contribution

Thermal noise excess factor measurement and modeling for the first time

Minimum noise expected to shift to even lower inversion levels with more advancedtechnologies

51 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Design

SNIM technique

Use minimum L to achieve high fT

Calculate Cgs and W from Zopt = Real(ZS)

Gopt = αωCgs√

δ

5γ(1−|c|2)

Calculate LS from a given power constraint from Real(Zin) = Real(ZS)

Real(Zin) = gmLSCgs

Calculate LG from Imag(Zin) = 0

Imag(Zin) = ω(LG +LS)− 1ωCgs −

1ωCpad

Optimum bias voltage by plotting fT vs. VOD

VGS = 0.65V

Output inductance resonates with output capacitance at 30 GHz

52 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Design

SNIM technique

Use minimum L to achieve high fT

Calculate Cgs and W from Zopt = Real(ZS)

Gopt = αωCgs√

δ

5γ(1−|c|2)

Calculate LS from a given power constraint from Real(Zin) = Real(ZS)

Real(Zin) = gmLSCgs

Calculate LG from Imag(Zin) = 0

Imag(Zin) = ω(LG +LS)− 1ωCgs −

1ωCpad

Optimum bias voltage by plotting fT vs. VOD

VGS = 0.65V

Output inductance resonates with output capacitance at 30 GHz

52 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Design

SNIM technique

Use minimum L to achieve high fT

Calculate Cgs and W from Zopt = Real(ZS)

Gopt = αωCgs√

δ

5γ(1−|c|2)

Calculate LS from a given power constraint from Real(Zin) = Real(ZS)

Real(Zin) = gmLSCgs

Calculate LG from Imag(Zin) = 0

Imag(Zin) = ω(LG +LS)− 1ωCgs −

1ωCpad

Optimum bias voltage by plotting fT vs. VOD

VGS = 0.65V

Output inductance resonates with output capacitance at 30 GHz

52 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Design

SNIM technique

Use minimum L to achieve high fT

Calculate Cgs and W from Zopt = Real(ZS)

Gopt = αωCgs√

δ

5γ(1−|c|2)

Calculate LS from a given power constraint from Real(Zin) = Real(ZS)

Real(Zin) = gmLSCgs

Calculate LG from Imag(Zin) = 0

Imag(Zin) = ω(LG +LS)− 1ωCgs −

1ωCpad

Optimum bias voltage by plotting fT vs. VOD

VGS = 0.65V

Output inductance resonates with output capacitance at 30 GHz

52 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Design

SNIM technique

Use minimum L to achieve high fT

Calculate Cgs and W from Zopt = Real(ZS)

Gopt = αωCgs√

δ

5γ(1−|c|2)

Calculate LS from a given power constraint from Real(Zin) = Real(ZS)

Real(Zin) = gmLSCgs

Calculate LG from Imag(Zin) = 0

Imag(Zin) = ω(LG +LS)− 1ωCgs −

1ωCpad

Optimum bias voltage by plotting fT vs. VOD

VGS = 0.65V

Output inductance resonates with output capacitance at 30 GHz

52 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Design

SNIM technique

Use minimum L to achieve high fT

Calculate Cgs and W from Zopt = Real(ZS)

Gopt = αωCgs√

δ

5γ(1−|c|2)

Calculate LS from a given power constraint from Real(Zin) = Real(ZS)

Real(Zin) = gmLSCgs

Calculate LG from Imag(Zin) = 0

Imag(Zin) = ω(LG +LS)− 1ωCgs −

1ωCpad

Optimum bias voltage by plotting fT vs. VOD

VGS = 0.65V

Output inductance resonates with output capacitance at 30 GHz

52 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Layout

Uppermost metal (M9) for interconnect lines

Same orientation for all components

Interaction between transmission lines andinductors should be avoided

Width of interconnect lines determined by thecurrent they have to drive

Pad’s capacitance as low as possible

0.3762 mm2

53 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Layout

Uppermost metal (M9) for interconnect lines

Same orientation for all components

Interaction between transmission lines andinductors should be avoided

Width of interconnect lines determined by thecurrent they have to drive

Pad’s capacitance as low as possible

0.3762 mm2

53 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Layout

Uppermost metal (M9) for interconnect lines

Same orientation for all components

Interaction between transmission lines andinductors should be avoided

Width of interconnect lines determined by thecurrent they have to drive

Pad’s capacitance as low as possible

0.3762 mm2

53 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Layout

Uppermost metal (M9) for interconnect lines

Same orientation for all components

Interaction between transmission lines andinductors should be avoided

Width of interconnect lines determined by thecurrent they have to drive

Pad’s capacitance as low as possible

0.3762 mm2

53 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Layout

Uppermost metal (M9) for interconnect lines

Same orientation for all components

Interaction between transmission lines andinductors should be avoided

Width of interconnect lines determined by thecurrent they have to drive

Pad’s capacitance as low as possible

0.3762 mm2

53 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Layout

Uppermost metal (M9) for interconnect lines

Same orientation for all components

Interaction between transmission lines andinductors should be avoided

Width of interconnect lines determined by thecurrent they have to drive

Pad’s capacitance as low as possible

0.3762 mm2

53 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA S-Parameters

20 25 30 35 40−30

−25

−20

−15

−10

−5

0

Frequency (GHz)

S11 (

dB

)

Pre−layout

Post−layout

20 25 30 35 40−50

−40

−30

−20

−10

Frequency (GHz)

S12 (

dB

)

Pre−layout

Post−layout

20 25 30 35 40−10

−5

0

5

10

Frequency (GHz)

S21 (

dB

)

Pre−layout

Post−layout

20 25 30 35 40−20

−15

−10

−5

0

Frequency (GHz)

S22 (

dB

)

Pre−layout

Post−layout

54 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz LNA Noise, Stability, Linearity

20 25 30 35 403

3.5

4

4.5

5

5.5

Frequency (GHz)

NF

(d

B)

Pre−layout

Post−layout

20 25 30 35 40

1

5

10

Kf (

−)

Frequency (GHz)20 25 30 35 40

0

1

B1f (

−)

−40 −30 −20 −10 0 10−40

−30

−20

−10

0

10

20

Pin

(dBm)

Po

ut (

dB

m)

−40 −30 −20 −10 0 10−140

−100

−60

−20

20

Pin

(dBm)

Po

ut (

dB

m)

1st

order

3rd

order

55 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

30 GHz LNA

30 GHz Single-Stage LNA Overall FoM

FoM = Gain(dB)·IIP3(mW )·fc (GHz)(NF−1)(abs)·PDC (mW )

This work

ICCDCS 2012

Abadi et al.

RFIC 2007

Yu et al.

MWCL 2004

Ribeiro et al.

EUROCON 2011

Sanduleanu et al.

RFIC 2006

Process (nm) 90 90 180 130 90

Freq. (GHz) 28.9 28.5 25.7 30 32.5

S21 (dB) 5.9 20 8.9 7.4 18.6

NF (dB) 3.9 2.9 6.9 3.7 3

IIP3 (dB) 4.9 -7.5 2.8 6 -

PDC (mW) 7.2 16.2 54 7 10

Area (mm2) 0.37 0.67 0.73 0.17* 0.85

FoM (-) 25.3 3.3 1.4 45.8 -

56 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

5 GHz WiMAX LNA Design

System level analysis of WiMAX RX

NF = 3dB, Gain = 18dB (could be relaxed)

Operation at 5.3GHz

Based on cascode topology (Andreani et al., CAS2 2001)

Extracted EKV3 model rather than the commercial one

Bias in M.I. region via (Gm/ID) · fTID = 1.47mAIC close to the center of M.I.

57 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

5 GHz WiMAX LNA Design

System level analysis of WiMAX RX

NF = 3dB, Gain = 18dB (could be relaxed)

Operation at 5.3GHz

Based on cascode topology (Andreani et al., CAS2 2001)

Extracted EKV3 model rather than the commercial one

Bias in M.I. region via (Gm/ID) · fTID = 1.47mAIC close to the center of M.I.

57 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

5 GHz WiMAX LNA Design

System level analysis of WiMAX RX

NF = 3dB, Gain = 18dB (could be relaxed)

Operation at 5.3GHz

Based on cascode topology (Andreani et al., CAS2 2001)

Extracted EKV3 model rather than the commercial one

Bias in M.I. region via (Gm/ID) · fTID = 1.47mAIC close to the center of M.I.

57 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

5 GHz WiMAX LNA Design

System level analysis of WiMAX RX

NF = 3dB, Gain = 18dB (could be relaxed)

Operation at 5.3GHz

Based on cascode topology (Andreani et al., CAS2 2001)

Extracted EKV3 model rather than the commercial one

Bias in M.I. region via (Gm/ID) · fTID = 1.47mAIC close to the center of M.I.

57 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

5 GHz WiMAX LNA Design

System level analysis of WiMAX RX

NF = 3dB, Gain = 18dB (could be relaxed)

Operation at 5.3GHz

Based on cascode topology (Andreani et al., CAS2 2001)

Extracted EKV3 model rather than the commercial one

Bias in M.I. region via (Gm/ID) · fTID = 1.47mAIC close to the center of M.I.

57 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

5 GHz WiMAX LNA Results

2 3 4 5 6 7 8

−80

−60

−40

−20

0

20

Frequency (GHz)

(dB

)

S11

S12

S21

S22

2 3 4 5 6 7 80

1

2

3

4

5

6

Frequency (GHz)

NF

(d

B)

NFNF

min

2 3 4 5 6 7 80

1

2

4

6

8

Frequency (GHz)

Sta

bilit

y C

oeff

icie

nts

(−

)

Kf

B1f

−40 −30 −20 −10 0−30

−20

−10

0

10

Pin

(dBm)

Po

ut (

dB

m)

58 / 65

Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

5 GHz WiMAX LNA Overall FoM

High overall performance (FoM =Gain (dB)·IIP3(mW )·fc (GHz)

(NF−1)(abs)·PDC (mW ))

0

1

2

3

4

5

6

7

References

Fo

M (

−)

19.31 mW

3.96 mW

6.2 mW

2.6 mW

1.67 mW

10 mW

Lorenzo et al., ICCMS 2010

Asgaran et al., MWCL 2006

Allstot et al., RFIC Symp 2004

Liu et al., MOTL 2005

This work

Chiu et al., MTT 2005

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

Conclusions on LNA Design

Device to circuit via (Gm/ID) · fT FoM

Fairly high overall performance

Low power consumption

M.I. ideal for LNA design

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

Conclusions on LNA Design

Device to circuit via (Gm/ID) · fT FoM

Fairly high overall performance

Low power consumption

M.I. ideal for LNA design

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

Conclusions on LNA Design

Device to circuit via (Gm/ID) · fT FoM

Fairly high overall performance

Low power consumption

M.I. ideal for LNA design

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

Conclusions on LNA Design

Device to circuit via (Gm/ID) · fT FoM

Fairly high overall performance

Low power consumption

M.I. ideal for LNA design

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

5 GHz LNA

Conclusions on LNA Design

Device to circuit via (Gm/ID) · fT FoM

Fairly high overall performance

Low power consumption

M.I. ideal for LNA design

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Final Conclusions

Low-power RF CMOS transceiver design

Connection between device and circuit performance

Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs

Validation through the design of a WiMAX LNA at 5.3 GHz

Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption

RF noise characteristics vs.channel length scaling and IC

Excess noise factor

Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE

Small-signal and noise results validated w. EKV3

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Final Conclusions

Low-power RF CMOS transceiver design

Connection between device and circuit performance

Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs

Validation through the design of a WiMAX LNA at 5.3 GHz

Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption

RF noise characteristics vs.channel length scaling and IC

Excess noise factor

Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE

Small-signal and noise results validated w. EKV3

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Final Conclusions

Low-power RF CMOS transceiver design

Connection between device and circuit performance

Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs

Validation through the design of a WiMAX LNA at 5.3 GHz

Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption

RF noise characteristics vs.channel length scaling and IC

Excess noise factor

Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE

Small-signal and noise results validated w. EKV3

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Final Conclusions

Low-power RF CMOS transceiver design

Connection between device and circuit performance

Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs

Validation through the design of a WiMAX LNA at 5.3 GHz

Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption

RF noise characteristics vs.channel length scaling and IC

Excess noise factor

Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE

Small-signal and noise results validated w. EKV3

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Final Conclusions

Low-power RF CMOS transceiver design

Connection between device and circuit performance

Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs

Validation through the design of a WiMAX LNA at 5.3 GHz

Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption

RF noise characteristics vs.channel length scaling and IC

Excess noise factor

Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE

Small-signal and noise results validated w. EKV3

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Final Conclusions

Low-power RF CMOS transceiver design

Connection between device and circuit performance

Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs

Validation through the design of a WiMAX LNA at 5.3 GHz

Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption

RF noise characteristics vs.channel length scaling and IC

Excess noise factor

Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE

Small-signal and noise results validated w. EKV3

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Journal Publications

1 A. Antonopoulos, M. Bucher, K. Papathanasiou, N. Mavredakis, N. Makris, R. K. Sharma, P. Sakalas, M. Schroter,“CMOS Small-Signal and Thermal Noise Modeling at High Frequencies”, IEEE Trans. Electron Devices, Vol. 60, No.11, November 2013.

2 A. Antonopoulos, M. Bucher, K. Papathanasiou, N. Makris, N. Mavredakis, R. K. Sharma, P. Sakalas, M. Schroter,“Modeling of High Frequency Noise of Silicon MOS Transistors for RFIC Design”, International Journal ofNumerical Modelling: Electronic Networks, Devices and Fields, special issue on Modeling of high-frequency silicontransistors, in press.

3 W. Grabinski, M. Brinson, P. Nenzi, F. Lannutti, N. Makris, A. Antonopoulos, M. Bucher, “Open source circuitsimulation tools for RF compact semiconductor device modelling”, International Journal of Numerical Modelling:Electronic Networks, Devices and Fields, special issue on Modeling of high-frequency silicon transistors, invitedpaper, in press.

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Conference Publications

1 A. Antonopoulos, M. Bucher, K. Papathanasiou, N. Makris, R. K. Sharma, P. Sakalas, M. Schroter, “CMOS RF Noise,Scaling, and Compact Modeling for RFIC Design”, IEEE Radio Frequency Integrated Circuits Symposium (RFIC), pp.53-56, Seattle, June 2013.

2 R.K Sharma, A. Antonopoulos, N. Mavredakis, M. Bucher, “Impact of Design Engineering on RF Linearity and NoisePerformance of Nanoscale DG SOI MOSFETs”, 14th International Conference on Ultime Integration on Silicon(ULIS), pp. 145-148, Coventry, 2013.

3 A. Antonopoulos, K. Papathanasiou, M. Bucher, K. Papathanasiou, “CMOS LNA Design at 30 GHz – A Case Study”,8th International Caribbean Conference on Devices Circuits and Systems (ICCDCS), pp. 1-4, Playa Del Carmen, 2012.

4 R. K. Sharma, A. Antonopoulos, N. Mavredakis, M. Bucher, “Analog/RF Figures of Merit of Advanced DGMOSFETs”, 8th International Caribbean Conference on Devices Circuits and Systems (ICCDCS), pp. 1-4, Playa DelCarmen, 2012.

5 K. Papathanasiou, N. Makris, A. Antonopoulos, M. Bucher, “Moderate inversion: analog and RF benchmarking of theEKV3 compact model”, 29th International Conference on Microelectronics (MIEL), Belgrade, May 12-14, 2014,accepted.

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Acknowledgements

H παρούσvα έρευνα έχει σvυγχρηματοδοτηθεί από τηνΕυρωπαϊκή ΄Ενωσvη (ΕυρωπαϊκόΚοινωνικόΤαμείο- ΕΚΤ) και από εθνικούς πόρους μέσvω του Επιχειρησvιακού Προγράμματος «Εκπαίδευσvη και ΔιαΒίουΜάθησvη» τουΕθνικούΣτρατηγικούΠλαισvίουΑναφοράς (ΕΣΠΑ) –ΕρευνητικόΧρηματοδοτού-μενο ΄Εργο: Ηράκλειτος ΙΙ .Επένδυσvη σvτην κοινωνία της γνώσvης μέσvω του ΕυρωπαϊκούΚοινωνικούΤαμείου.

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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions

Thank you for your attention!

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