THE APPLICATION OF DSP TECHNOLOGY IN HF/VHF/UHF RADIO … · 2019-02-06 · TACAN 962-1213MHz...
Transcript of THE APPLICATION OF DSP TECHNOLOGY IN HF/VHF/UHF RADIO … · 2019-02-06 · TACAN 962-1213MHz...
July 23, 1998 1
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
THE APPLICATION OF DSPTHE APPLICATION OF DSPTECHNOLOGY IN HF/VHF/UHFTECHNOLOGY IN HF/VHF/UHF
RADIO SYSTEMSRADIO SYSTEMS
September 10, 1998September 10, 1998
Presented By Rich GroshongPresented By Rich Groshong
RockwellCollins
July 23, 1998 2
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
• Superheterodyne Radio Technology
• Direct Conversion Radio (DCR)Technology
• Critical DSP Radio Performance Issues
• Tricks of the DSP Trade
• Future DSP Radio Technology
PRESENTATION AGENDA
July 23, 1998 3
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
SUPERHETERODYNE RADIO TECHNOLOGY
July 23, 1998 4
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
DIRECT CONVERSION RADIO TECHNOLOGY
MULTI-BAND, MULTI-MODE DIRECT CONVERSIONRECEIVER
DSP
Preselector& LNA
ADC
COS(ωRFt)
SIN(ωRFt)
LO
I
Q
FRONT-ENDGAIN CTL
TO DSPBASEBANDPROCESSING
LPF
LPF ADC
QUADRATURENETWORK
LPF
LPF
PROGRAMMABLELPF
July 23, 1998 5
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
Waveform Frequency BWSINCGARS 30-88MHz 25KHz
VOR 108-118MHz 18KHz
ILS (MB,LOC,GS) 75,108-112,329-335MHz 36KHz
VHF/UHF (Clear Voice Com & Data) 30-400MHz 8.33KHz, 18KHz
HAVE QUICK, HAVE QUICK II 225-400MHz 25KHz,36KHz
SATURN 225-400MHz 36KHz
Link 4 225-400MHz 70KHz
Link 11 225-400MHz 70KHz
SATCOM (DAMA) 240-317MHz 8KHz, 36KHz
Constant Source (T-A/B, TIBS, TRAP) 240-270MHz 8KHz, 36KHz
IFF / TCAS (XPND / INT) 1030,1090MHz 10.0MHz
Link 16 / JTIDS 969-1206MHz 3.0MHz
TACAN 962-1213MHz 400KHz
Weapons Data Link 1500-1900MHz 10.0MHz
HF 2-30MHz 3, 6KHz
MODULAR AVIONICS RADIO WAVEFORMS
July 23, 1998 6
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
• DCR Offers Lower Cost / Size / Power for a WideFrequency Coverage Radio
– How do you build a 2 to 3000 MHz Superheterodyne?
– Single Synthesizer DCR, 1-Loop at RF Carrier Frequency
– Single Frequency Translator DCR, RF to BB & BB to RF
– All DCR components are suitable for integration
• MMIC’s & ASIC’s
– Spurious Responses are well behaved (No Crossovers)
• DCR May be the only “practical” near-term technology forlow-power PCMCIA Radio
• DCR REQUIRES DSP Calibration of Analog Circuits– Phase & Gain error, Rcvr DC Offset, Xmtr LO Leakage
– DCR DSP is more complex but can be digital VLSI
DCR PRO’S AND CON’S
July 23, 1998 7
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
Receiver Spurious Responses225-500MHz, IF=27MHz, Hi-Side Injection
-100
-80
-60
-40
-20
0
20
40
60
80
100
225 275 325 375 425 475
Input Signal Range
-1 1
1 -1
-2 2
2 -2
3 -3
-3 3
-4 4
4 -4
5 -4
-5 4
4 -3
-4 3
3 -2
-3 -2
-1 -2
1 -2
DeltaawayfromInput
Signal
4th order Spur (-2,2)(half-IF spur)
is always 13.5MHzabove Tune Frequency
Image Spur (-1, 1)is always 54MHz
above Tune Frequency
UHF SUPERHET SPURS
July 23, 1998 8
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
Direct Conversion Receiver225-500MHz, 9th Order (& lower) Spurs
-100
-80
-60
-40
-20
0
20
40
60
80
100
225 275 325 375 425 475
Input Signal Range
1 -2
2 -3
3 -4
4 -5
-5 4
-4 3
-3 2
-2 1
DeltaawayfromInput
Signal
9th order Spur (4,-5)is always 1.2 X
Tune Frequency
9th order (-5,4) Spur is always 0.8 X
Tune Frequency
7th order (-4,3) Spuris always 0.75 XTune Frequency
UHF DCR SPURS
7th order Spur (3,-4)is always 1.33 XTune Frequency
July 23, 1998 9
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
DCR Spur Chart, 29th Order (and lower)
-500
-400
-300
-200
-100
0
100
200
300
400
500
0 500 1000 1500 2000 2500
Input Signal Frequency
1 -2
2 -3
3 -4
4 -5
5 -6
6 -7
7 -8
8 -9
9 -10
10 -11
11 -12
12 -13
13 -14
14 -15
-15 14
-14 13
-13 12
-12 11
-11 10
-10 9
-9 8
-8 7
DeltafromInput
Signal
Well-Behaved Spurious Performance
HF/VHF/UHF DCR SPURS
July 23, 1998 10
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
– Direct Conversion Receiver / Direct Conversion Exciter• Multi-Band Receiver and Exciter: 30 MHz to 2000 MHz
• Multiple Channel Bandwidths: 5 KHz to 10 MHz
• 3-Pitch SEM-E Form Factor (5” x 6” x 1.8” ), reducing to 1-Pitch (5” x 6” x 0.6” )
• Custom MMICs and ASICs and FPGAs
– 30-2000MHz Synthesizer:• Single-Loop PLL, utilizing Fractional Division Technology
• Continuous Freq. Coverage 30-2000MHz / 10 Hz resolution.• Fast Tune (15uS), Medium Tune (80uS), and Slow Tune (1mS) modes.
• Eliminates need for Synthesizer in PA
– Digital Signal Processing:• Phase, Gain, and DC Offset Correction Algorithms
• Exciter Phase, Gain, and Carrier Leak Correction Algorithms
• Decimation/Interpolation, Channel Selectivity, & Baseband Selectivity Filtering
• Automatic & Manual Gain Control Algorithms
• I/Q and AM/FM Modulation and Demodulation Algorithms
• Squelch Algorithms
• Digital Baseband I/Q or AM/FM Interface for both Tx and Rcv
MODULAR AVIONICS RADIO CAPABILITIES
July 23, 1998 11
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
DIRECT CONVERSION RADIO ARCHITECTURE
RF TO BASEBAND
BASEBAND TO RF
LNAAGC/SW &Blank
RX 0 DegHybrid
5 MHzWBLPF
5 MHzWBLPF
SWITCHEDNB LPF
SWITCHEDNB LPF
AMP
AMP
A/D
A/D
DigitalFilter
DigitalFilter
0 DegHybrid
5 MHzWBLPF
5 MHzWBLPF
D/A
D/A
AMPCPLR
DigitalFilter
DigitalFilter
DIVIDE/4
LPF(80uS)
LPF(1mS)
VCOQUADRATURENETWORK
PROMD/A
LPF(15uS)
1X3SW
GAINADJ
DIVIDE32+N
FRACTIONALDIVIDER
TX
100 MHz
GainPhase
&DC OffsetCorrection
OverloadDetector
OverloadDetector
DitherNoise
Generator
GainPhase
&CarrierLeak
Correction
HI-SPEEDDSP
ReceiverAlgorithms
HI-SPEEDDSP
ExciterAlgorithms
SWDSP
LO-SPEEDDSP
Algorithms
RCVR CORRECTION
XMTR CORRECTION
DSPINFCFLASH
MEM
EXT.INFC
ControlBUS
DataBUS
PHASEDET
1-2 GHzI
Q
SWITCHEDNB LPF
Frequency
HWDSP (VHDL)
SWITCHEDNB LPF
ATTN
AMP
RCVR GAINCONTROL
July 23, 1998 12
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
TYPICAL RECEIVER DSP ALGORITHMSINPUT FILTER
Filter
I QIn Pre-Detection
BW
SquelchAlgorithm
AM/FMDemod
DCReceiver
CalibrationAlgorithm
AGCAlgorithm
GainMultiplier
RADIOCNTLINFC
LOCALSYNTHCNTLINFC
CNTLSTATUS
INFC
Analog Gain
Gain
ReceiverGain
FM
ADCINFC
DC Receiver Correction
I
Q
AM
SAMPLE RATE CHANGER
ADC Overload
Analog BW
C
Filter
OUTPUT FILTER
I or AM Audio or ?Q or FM Audio or ?
DATAor
DACINFC
Post-DetectionBW
I or AM Audio or ?Q or FM Audio or ?
Output
Key Control Flow
Data Flow
ManualGain Control
SquelchThreshold
Decimateby C
(C=1,..,N)
Decimateby A
(A=1,..,N)
Interpolateby B
(B=1,..,N)
BA
Gain, Phase, DC OffsetCorrection
NOISEDither
Generator
CUSTOM?Demod
IQ
July 23, 1998 13
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
• Rapid & Accurate DCR Calibration Algorithms– Off-line/Factory/Pwr-up Calibration
• e.g.
– Calibrate entire Receiver and Exciter from 30 to 2000 MHz in lessthan 10 seconds
– Tuning Event Calibration• e.g.
– Calibrate DC Offset in 5 microseconds to support fast frequencyhopping
– Calibration Performance Requirements• e.g.
– Calibrate Phase & Gain to -60 dBc Distortion
– Phase error < 0.1 degree, Gain error < 0.01 dB
– Calibrate DC Offset to preserve 80 dB SFDR
DCR CALIBRATION TECHNOLOGY
July 23, 1998 14
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
• Random Noise due to Quantization– Know your Effective Number of Bits (ENOB) !
• Phase Noise due to Sampler Aperture Jitter
• Harmonic & Intermodulation Distortion due to :– Non-Uniform Quantizer Step Sizes
– Cubic & Quadratic Amplifier Transfer Curve
– Slew Rate Limiting
– Nonlinear Impedance
– ADC Overload
– Inadequate Quantizer Noise Dither
• Spurious Noise & Distortion due to :– Undesired Digital Noise Pickup
• The Sample Clock is a Local Oscillator & MUST BE CLEAN
– Aliasing (including Broadband Noise Aliasing in ADC!)
ADC & DAC NOISE & DISTORTION SOURCES
July 23, 1998 15
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
SP
EC
TR
AL
DE
NS
ITY
FREQUENCY2FS
FS/2
SIGNAL
QUANTIZING NOISE SPECTRUMFOR SAMPLING RATE FS
QUANTIZING NOISE SPECTRUMFOR SAMPLING RATE 4FS
1.0E-01 1.0E+00 1.0E+01 1.0E+02
SAMPLE FREQUENCY (MHz)
90.00
100.00
110.00
120.00
130.00
140.00
150.00
160.00
170.00
180.00
SN
R IN
dB
-Hz
MAX ADC SNR
16-Bit
15-Bit
14-Bit
13-Bit
12-Bit
11-Bit
10-Bit
9-Bit
8-Bit
MAX SNR IN dB-HzFOR 8 TO 16 BITENOB
ADC QUANTIZING NOISEQUANTIZER NOISE DENSITY
DECREASES 3 dBFOR EVERY DOUBLINGOF THE SAMPLE RATE
SNR INCREASES 6 dB PER BIT
July 23, 1998 16
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
ADC NOISE & DISTORTION SOURCES
July 23, 1998 17
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
• Set Analog Gain to meet sensitivity requirement– e.g. 10 dB SNR @ -113 dBm in 3 kHz BW
• Ensure ADC output noise has Uniform Density– Either amplify thermal noise or add out-of-band dither noise
• Keep analog gain high until Ultimate SNR is obtained– Control output level with DSP gain control
• Hold ADC level constant if Ultimate SNR is obtained– Reduce analog gain & hold DSP gain constant
• Detect out-of-band interference at ADC– Reduce analog gain & increase DSP gain to maintain output
• Use Spreadsheet to select ADC, set gain distribution, andanalyze noise & distortion performance
DSP RECEIVER DESIGN
July 23, 1998 18
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
DSP RECEIVER GAIN DISTRIBUTION AND NOISE PERFORMANCE VHF/UHF RCVR, 36 kHz BW
Analog RF/IF Front-End Noise Figure 8.00 dB
Max. Receiver Antenna Signal Level 20.00 dBm
A/D Converter Effective No. of Bits 11.00 bits 68.0 dB Max. A/D S/N in Nyquist BW
A/D Converter Full-Scale Level 0.50 V-pk = 4.0 dBm (full-scale sinewave level) A/D Converter Sample Frequency 25,000.0 kHz -62.2 dBm Min. A/D Input Noise (reqmt)
A/D Converter Input Bandwidth (BW1) 5,000.0 kHz -68.0 dBm A/D Quant. Noise in BW1
DSP Pre-Detection (IF) Bandwidth (BW2) 36.0 kHz -89.4 dBm A/D Quant. Noise in BW2
DSP Post-Detection (Audio) Bandwidth (BW3) 3.0 kHz -100.2 dBm A/D Quant. Noise in BW3
Analog RF/IF Front-End AGC Threshold -80.00 dBm Analog RF/IF Front-End AGC Range 81.00 dB
Receiver AGC Threshold -115.00 dBm -16.00 dBm IQ Output Signal Level
Max. DSP Internal Gain 58.00 dB
AM Modulation Percentage 80.00 % -23.96 dBm AM Output Signal Level
FM Detector Sample Frequency 64.00 kHz FM Peak Deviation 8.00 kHz -8.06 dBm FM Output Signal Level
Synthesizer Noise Density -100.00 dBc-Hz 33.01 dB Max pre-A/D SNR in BW1
54.44 dB Max pre-A/D SNR in BW2
65.23 dB Max pre-A/D SNR in BW3---------------------------------------------------------------------------------
Antenna Analog A/D Noise at Noise at Noise at Total Total IQ IQ AM FM DSP IQ Total Antenna Antenna
Signal RF/IF Signal A/D InputA/D InputA/D Input Noise Noise SNR SNR SNR SNR Internal Output Noise Ovld Ovld/Sig
Level Gain Level in BW1 in BW2 in BW3 in BW2 in BW3 in BW2 in BW3 in BW3 in BW3 Gain Level Figure Level Ratio
(dBm) (dB) (dBm) (dBm) (dBm) (dBm) (dBm) (dBm) (dB) (dB) (dB) (dB) (dB) (dBm) (dB) (dBm) (dB)
-120.00 41.00 -79.00 -58.01 -79.44 -90.23 -79.02 -89.81 0.02 10.81 2.85 0.31 58.00 -21.00 8.42 -37.0 83.0
-110.00 41.00 -69.00 -58.01 -79.44 -90.23 -79.02 -89.81 10.02 20.81 12.85 30.85 53.00 -16.00 8.42 -37.0 73.0
-100.00 41.00 -59.00 -58.01 -79.44 -90.23 -79.02 -89.81 20.02 30.81 22.85 41.09 43.00 -16.00 8.42 -37.0 63.0
-90.00 41.00 -49.00 -57.99 -79.42 -90.21 -79.01 -89.80 30.01 40.80 32.84 51.08 33.00 -16.00 8.43 -37.0 53.0-80.00 41.00 -39.00 -57.84 -79.27 -90.06 -78.87 -89.66 39.87 50.66 42.70 60.94 23.00 -16.00 8.57 -37.0 43.0
-70.00 31.00 -39.00 -66.55 -87.98 -98.77 -85.63 -96.42 46.63 57.42 49.46 67.70 23.00 -16.00 11.81 -27.0 43.0
-60.00 21.00 -39.00 -71.04 -92.46 -103.26 -87.67 -98.46 48.67 59.46 51.50 69.74 23.00 -16.00 19.77 -17.0 43.0
-50.00 11.00 -39.00 -71.90 -93.33 -104.12 -87.93 -98.73 48.93 59.73 51.77 70.01 23.00 -16.00 29.50 -7.0 43.0
-40.00 1.00 -39.00 -72.00 -93.43 -104.22 -87.96 -98.75 48.96 59.75 51.80 70.03 23.00 -16.00 39.47 3.0 43.0-30.00 -9.00 -39.00 -72.01 -93.44 -104.23 -87.96 -98.76 48.96 59.76 51.80 70.04 23.00 -16.00 49.47 13.0 43.0
-20.00 -19.00 -39.00 -72.01 -93.44 -104.23 -87.97 -98.76 48.97 59.76 51.80 70.04 23.00 -16.00 59.47 20.0 40.0
-10.00 -29.00 -39.00 -72.01 -93.44 -104.23 -87.97 -98.76 48.97 59.76 51.80 70.04 23.00 -16.00 69.47 20.0 30.0
0.00 -39.00 -39.00 -72.01 -93.44 -104.23 -87.97 -98.76 48.97 59.76 51.80 70.04 23.00 -16.00 79.47 20.0 20.010.00 -40.00 -30.00 -63.01 -84.44 -95.23 -83.24 -94.03 53.24 64.03 56.07 74.31 14.00 -16.00 85.20 20.0 10.0
20.00 -40.00 -20.00 -53.01 -74.44 -85.23 -74.30 -85.09 54.30 65.09 57.13 75.37 4.00 -16.00 94.14 20.0 0.0
DSP RECEIVER SPREADSHEET EXAMPLE
RECEIVER OPERATING CURVES
-120
-110
-100
-90
-80
-70
-60
-50
-40
-30
-20
-10
0
10
20
-120 -110 -100 -90 -80 -70 -60 -50 -40 -30 -20 -10 0 10 20
RECEIVER INPUT LEVEL IN dBm
ADC
INPU
T LE
VEL
IN d
Bm
ADC OVERLOAD LEVEL
ADC INPUT LEVEL
3RD ORDER IMDFOR +30 dBm IP3FRONT-END
SYNTH NOISE LEVEL IN BW3
ADC QUANTIZING NOISE IN BW3
ADC DISTORTIONFOR 15-BIT LINEARITY(SFDR=90 dB)
ADC INPUT NOISE IN BW3
July 23, 1998 19
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
• Digital Generation of Out-of-Band Noise Dither– Dither May Be Required in NB Modes to Ensure Uniform Quantizing
Noise ( e.g. to Linearize ADC Model )
– Dither Reduces ADC Spurs & Distortion
PN SEQUENCE GENERATORSHIFT REGISTER LENGTH >= 7
EXTERNAL RESISTOR SUMMING NETWORKFOR NOISE SPECTRAL SHAPING
(ANALOG FIR FILTER)
P/O DSP
SAMPLECLOCK
OUT-OF-BANDDITHER NOISE
7-SHIFT REGISTER TAP OUTPUTS(NON-INVERTED OUTPUT FOR POS. COEF,
INVERTED OUTPUT FOR NEG. COEF)
NOISE DITHER GENERATION
0.00 0.10 0.20 0.30 0.40 0.50
Normalized Frequency
-110.00
-100.00
-90.00
-80.00
-70.00
-60.00
-50.00
-40.00
Lev
el R
elat
ive
to A
DC
Fu
ll S
cale
in d
B
FIR filter, 7 taps noise7b.cf
July 23, 1998 20
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
• Decimation & Interpolation– Cascade-Integrator-Comb (CIC) Digital Filters
• Linear Phase Response
• Variable Decimation / Interpolation Ratio
• Multiplier-less Design
OUTPUT@ Fs/R
CIC DECIMATOR (N=6, M=1, R=1,...,N) :
INTEGRATORS
REG REG REG REG REG REG
INPUT@ Fs
CIC INTERPOLATOR (N=6, M=1, R=1,...,N) :
OUTPUT@ Fs
COMB FILTERS
REG REG REG REG REG REG
COMB FILTERS
REG REG REG REG REG REG
INPUT@ Fs/R
REG REG REG REG REG REG
INTEGRATORS
RESAMPLE AT Fs/R
RESAMPLE AT Fs, INSERT R-1 ZEROES
0
HI-SPEED (MULTIPLIER-LESS) DIGITAL FILTERING
July 23, 1998 21
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
• FIR Digital Filtering– Selectivity Filtering
– CIC Frequency Response Correction• CIC Passband Rolloff Compensation
• CIC Alias Suppresion (Selectivity Filtering)
– Multiplier-less Designs Possible
– e.g.
HI-SPEED (MULTIPLIER-LESS) DIGITAL FILTERING
REGREG REG REG
REGX(n)
H(9) H(8) H(7) H(0)
Y(n-1)
H(1)
H(0) = H(9) = 0.001953125 = 2-9
H(1) = H(8) = -0.058593750 = 2-8 - 2-4
H(2) = H(7) = -0.093750000 = -2-5 - 2-4
H(3) = H(6) = 0.132812500 = 2-7 + 2-3
H(4) = H(5) = 0.500000000 = 2-1
OPTIONALINPUT REGISTER
10-TAPMULTIPLIER-LESSLINEAR PHASEFIR FILTER EXAMPLE
July 23, 1998 22
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
HI-SPEED (MULTIPLIER-LESS) DIGITAL FILTERING
July 23, 1998 23
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
HI-SPEED (MULTIPLIER-LESS) DIGITAL FILTERING
July 23, 1998 24
Advanced Technology CenterAdvanced Subsystems & Signal Processing DepartmentDSP, Photonics, Digital Radio, Frequency Control, and Power Conversion
1998 Int’l Symposium on Advanced Radio Technologies
FUTURE DSP RADIO TECHNOLOGY