Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant...

63
Prospects and challenges for spectrum sharing by cognitive radios Anant Sahai presenting joint work with students: Mubaraq Mishra Rahul Tandra Kristen Woyach along with my BU Collaborators: George Atia Venkatesh Saligrama BWRC and Wireless Foundations Center U.C. Berkeley Boston University Support from the National Science Foundation, C2IT, and Sumitomo Harvard EE Seminar Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 1/1

Transcript of Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant...

Page 1: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Prospects and challenges for spectrum sharing bycognitive radios

Anant Sahaipresenting joint work with students:

Mubaraq Mishra Rahul Tandra Kristen Woyachalong with my BU Collaborators:

George Atia Venkatesh Saligrama

BWRC and Wireless Foundations CenterU.C. Berkeley

Boston University

Support from the National Science Foundation, C2IT, and Sumitomo

Harvard EE Seminar

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 1 / 1

Page 2: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Spectrum, spectrum, everywhere, but . . .

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 2 / 1

Page 3: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Outline

How much usable white-space is there?How can we understand sensing?

Light-handed regulation: identity

Light-handed regulation: deterrence

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 3 / 1

Page 4: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

How much white-space is there in a single band?

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 4 / 1

Page 5: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Consider channel 39 . . .

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 4 / 1

Page 6: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The pollution perspective: 15dB above noise

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 4 / 1

Page 7: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The pollution perspective: 10dB above noise

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 4 / 1

Page 8: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The pollution perspective: 5dB above noise

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 4 / 1

Page 9: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

5dB above noise with -35dB spillover from next door

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 4 / 1

Page 10: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

5dB above noise with -45dB spillover from next door

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 4 / 1

Page 11: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

5dB above noise with -55dB spillover from next door

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 4 / 1

Page 12: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The protection perspective

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 5 / 1

Page 13: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The protection perspective: 4W

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 5 / 1

Page 14: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The protection perspective: 20W

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 5 / 1

Page 15: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The protection perspective: 100kW

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 5 / 1

Page 16: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The protection perspective: 1MW

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 5 / 1

Page 17: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

How much to protect? 0.1dB margin

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 6 / 1

Page 18: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

How much to protect? 1.0dB margin

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 6 / 1

Page 19: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

How much to protect? 10dB margin

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 6 / 1

Page 20: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

How much to protect? 1.0dB margin vs 5db pollution

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 6 / 1

Page 21: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

How much to protect? 1dB margin with adjacent

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 6 / 1

Page 22: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Can we sense these holes?

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 7 / 1

Page 23: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Can we sense these holes? 90%

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 7 / 1

Page 24: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Can we sense these holes? 99%

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 7 / 1

Page 25: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Can we sense these holes? FCC rules

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 7 / 1

Page 26: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

How much white-space is there across bands?

0 5 10 15 20 25 30 35 40 45 500

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

Number of channels recovered

CC

DF

Actually available by area

Actually available by population

−114dBm

rule by area

−114dBm

rule by population

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 8 / 1

Page 27: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

. . . If we account for adjacent-channel effects?

0 5 10 15 20 25 30 35 40 45 500

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

Number of channels recovered

CC

DF

Actually available by area

Actually available by population

−114dBm

rule by area−114dB

m rule

by population

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 8 / 1

Page 28: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

How much white-space is there across bands?

0 5 10 15 20 25 30 35 40 45 500

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

Number of channels recovered

CC

DF

Actually available by area

Actually available by population

−114dBm

rule by area

−114dBm

rule by population

0 5 10 15 20 25 30 35 40 45 500

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

Number of channels recovered

CC

DF

Actually available by area

Actually available by population

−114dBm

rule by area−114dB

m rule

by population

Detection Scheme/RuleBy Area By Population

LVHF HVHF LUHF HUHF LVHF HVHF LUHF HUHF2,5,6 7-13 14-51 52-69 2,5,6 7-13 14-51 52-69

Pollution (5dB,45dB adj.) 1.6 1.63 15.6 15.8 1.62 0.729 6.63 14.8Geolocation 1.52 2.86 22.3 16.2 1.69 2.09 14.8 15.8Geolocation with adj. 1.24 1.63 14.1 14.6 1.25 0.703 5.36 13.1Sense -114dBm 0.985 0.409 7.7 13.8 1.13 0.167 2.57 13.6-114dBm,-110dBm adj. 0.515 0.0635 2.63 9.83 0.576 0.008 0.284 8.87

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 8 / 1

Page 29: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

. . . If we vary the allowed power?

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 8 / 1

Page 30: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

What is the underlying public policy tradeoff?

.1 1 100

5

10

15

20

25

30

35

40

45

Margin (dB)

Ave

rage

num

ber

of c

hann

els

per

user

White space use: actual population density

White space use:

Broadcast use:

uniform population density

Broadcast use: actual population density

uniform population density

15dB, actual population density

15dB, uniform population density

10dB, uniform population density

10dB, actual population density

5dB, uniform population density

5dB, actual population densityWhite space use: protection & pollution

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1

Page 31: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

What is the underlying public policy tradeoff?

0.1 1 101

10

100

1000

Margin (dB)

Peo

ple

gain

ed v

ersu

s pe

rson

lost

Cumulative gain−loss, uniform population density

Cumulative gain−loss, actual population density

Instantaneous gain−loss, uniform population density

Instantaneous gain−loss, actual population density

ActualPop. Density15dB10dBfor 5dB pollution rule

Achievable margins

Achievable margins

for 5dB pollution rule 10dB 15dBUniformPop.Density

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1

Page 32: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Outline

How much usable white-space is there?

How can we understand sensing?Light-handed regulation: identity

Light-handed regulation: deterrence

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 10 / 1

Page 33: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

What are the right metrics for sensing?

WPAR =∫ ∞

rn

PFH(r) w(r) rdr

PFH(r): probability of finding a spectrum hole at distance r.

w(r): weighting function satisfying∫∞

rnw(r) r dr = 1.

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 11 / 1

Page 34: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

What are the right metrics for sensing?

WPAR =∫ ∞

rn

PFH(r) w(r) rdr

FHI = sup0≤r≤rn

supFr∈Fr

PFr(D = 0|ractual = r)

where Fr is the uncertainty about the distribution Fr underlying algorithm D.Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 11 / 1

Page 35: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Single-user sensing

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 12 / 1

Page 36: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Single-user sensing: finite samples

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 12 / 1

Page 37: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Single-user sensing: SNR Walls

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 12 / 1

Page 38: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Cooperation

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 13 / 1

Page 39: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Cooperation

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 13 / 1

Page 40: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Cooperation

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 13 / 1

Page 41: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Outline

How much usable white-space is there?

How can we understand sensing?Light-handed regulation: identity

I Prior work:F Faulhaber ’05F Hall, Barbeau, Kranakis ’03F Brik, Banerjee, Gruteser, Oh ’08F Rasmussen and Capkun ’07F Rozovsky and Kumar ’01

Light-handed regulation: deterrence

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 14 / 1

Page 42: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Identity through taboos

Network IDUser ID

× Device IDTX Identity: Band 1

TX Identity: Band 2

TX Identity: Band 3

. . .Cannot transmit

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 15 / 1

Page 43: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Single secondary user case

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 16 / 1

Page 44: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Single secondary user case

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 16 / 1

Page 45: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Multiple Users: cooperation and/or “framing”

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 17 / 1

Page 46: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Multiple Users: noise-free non-strategic case

Min

imum

enf

orce

men

t ove

rhea

d

Number of users

Catch coalition of 4

Catch coalition of 3

Catch coalition of 2

0.1

0.2

0.3

0.4

0.5

02 73 65410 1010 101010

Time steps until conviction = 3000

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 18 / 1

Page 47: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Multiple Users: coalitions and overhead

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 19 / 1

Page 48: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Noisy-case: An equal-rate MAC-framework

Identifying Culprits MAC channelN Distinguishable Secondary Users N Distinct messages

K Coalition size K different usersTc Time-to-identification Codeword length Tc

γ Taboo-fraction γ average cost-constraint on codewordsUsers may/may-not cheat/interfere MAC channel model

limTc→∞

log NTc≤ min

k≤K

I(Xk1; Y|XK

k+1)k

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 20 / 1

Page 49: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Outline

How much usable white-space is there?

How can we understand sensing?

Light-handed regulation: identityLight-handed regulation: deterrence

I Prior work:F Rose, Ulukus, Yates ’01F Popescu and Rose ’04F Etkin and Tse ’05F Huang, Berry, Honig ’04F Xu, Kamat, Trappe ’06

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 21 / 1

Page 50: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Single-band model

False Alarm

Legal TX

SecondaryTX No TX

No Cheat

Cheat

False Alarm

Legal TX

Primary

Cognitive

Jail

Pcatch

Ppen

p1

q1

Ptx = q/(q+p)

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 22 / 1

Page 51: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Single-band model

00.25

0.50.75

1

00.25

0.50.7510

0.25

0.5

0.75

1

pPtx

Pcheat

Always cheat

Never cheat

Pcatch = 1Ppen = 0.6

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 22 / 1

Page 52: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Single-band model

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

1

2

3

4

5

6

7

8

9

10

Ppen

β =

pai

n of

jail

Pcatch = 0.1

0.2

0.4

0.60.8

1

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 22 / 1

Page 53: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Multiple-bands: need to have something to lose

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 23 / 1

Page 54: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Multiple-bands: need to have something to lose

TX No TX

No Cheat

Cheat

False Alarm

Legal TX

q

SecondaryTX No TX

No Cheat

Cheat

False Alarm

Legal TX

Primary

Cognitive

Band 1Band 2

Band 3

Band B

Global Jail

Pcatch

Pcatch

Primary

Ppen

p1

q1

pN

qN

Ptx = q/(q+p)

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 23 / 1

Page 55: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Multiple-bands: need to have something to lose

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

1

2

3

4

5

6

7

8

9

10

β =

hom

e ba

nds

requ

ired

to in

cent

iviz

e no

che

atin

g

Ppen

B = 1

B = 3

B = 5

B = 7

B = 9

Pcatch = 1

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 23 / 1

Page 56: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The problem of false convictions

TX No TX

No Cheat

Cheat

False Alarm

Legal TX

q

SecondaryTX No TX

No Cheat

Cheat

False Alarm

Legal TX

Primary

Cognitive

Band 1Band 2

Band 3

Band B

Global Jail

Pcatch

Pcatch

PrimaryPwrong

Pwrong

Ppen

p1

q1

pN

qN

Ptx = q/(q+p)

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 24 / 1

Page 57: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The problem of false convictions

Pcatch = 1Pcatch = 0.5

Pcatch = 0.1Ppe

n

0

1

0.5Pwrong0.1 0.2 0.3 0.4

0.5

B = 3

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 24 / 1

Page 58: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The problem of false convictions

Pcatch = 1Pcatch = 0.5

Pcatch = 0.1Ppe

n

0

1

0.5Pwrong0.1 0.2 0.3 0.4

0.5

B = 3

Ppe

n

0.5

10

1

01 2 6 84

Expansion

Pcatch = 0.1

Pcatch = 0.5

Pcatch = 1

Pwrong = 0.03

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 24 / 1

Page 59: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The “overhead” needed for bandwidth expansion

30

1

2

10 20

3

Expansion

0

0

1

0

0.5

Utility

Fraction of time in jail Ptx = 0.55Pcatch = 1

Pwrong = 0.03

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 25 / 1

Page 60: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The “overhead” needed for bandwidth expansion

Exp

ansi

on

0

40

20

30

10

Overhead0.1 0.2 0.3 0.4 0.5

Pwrong = 0.01

Pwrong = 0.06

Pwrong = 0.1

Pwrong = 0.035

Pwrong = .02

Pwrong = 0.001

MaximalExpansion

Ptx = 0.55Pcatch = 1

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 25 / 1

Page 61: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

The “overhead” needed for bandwidth expansion

0 0.1 0.2 0.3 0.4 0.50

10

20

30

40

Overhead

Expansion

Pcatch = 1

0.8

0.6

0.4

0.2

0.1

Ptx = 0.55Pwrong = 0.02

MaximalExpansion

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 25 / 1

Page 62: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

Conclusion: Freedom isn’t free

Interference management is Interference management notprimary’s responsibility primary’s responsibility

Secondary has permission Markets UWB/Spectrum MonitorsSecondary must take care Denials Opportunistic

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 26 / 1

Page 63: Prospects and challenges for spectrum sharing by cognitive ...sahai/Presentations/Harvard09.pdfAnant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 9 / 1. What is the underlying public

References on www.eecs.berkeley.edu/∼sahai/

“How much white space is there?”

“What is a spectrum hole and what does it take to recognize one?”

“A technical perspective on light-handed regulation for cognitive radios”

“Cognitive Radios for Spectrum Sharing”

Anant Sahai (UC Berkeley) Cognitive Radio 02/19/2009 27 / 1