INC

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Wireless MIMO Switching

Fanggang Wang and Soung C. Liew

INC Seminar26/01/2011

Wireless MIMO SwitchingWireless MIMO Switching INC SeminarINC Seminar22

Store-and-forward

Wireless MIMO SwitchingWireless MIMO Switching INC SeminarINC Seminar33

Network coding (NC)

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Physical Layer NC/Analog NC

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Broadcast

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Pairwise Unicast

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Another

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Requirements

Network Same frequency Half-duplex No coding No direct link

Users Single antenna

Relay Multi-antenna Simple computation (amplify-and-forward)

Wireless MIMO SwitchingWireless MIMO Switching INC SeminarINC Seminar99

To Do

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Equivalent Unidirectional

uH dH

G

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Unidirectional Relay Transmission

1H 2H

11 1

2 1

4

a

G H H

a

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Equivalent Unidirectional

uH dH

1

21 1

3

4

0 0 0

0 0 0

0 0 0

0 0 0

d u

a

aG H H

a

a

uH dHuH dHuH dHuH

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To do

dHuH

1 1?d uG H H

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Combination

Now we have any unicast pattern

We can establish multicast pattern broadcast pattern …

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Eg. Fair Switching

Each node sends equal amount independent data to all the others

Equal SINR

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Transmission

uH dH

0 0 0 1

0 0 1 0

0 1 0 0

1 0 0 0

1 1?d uG H H

0 0 1 0

0 0 0 1

1 0 0 0

0 1 0 0

0 1 0 0

1 0 0 0

0 0 0 1

0 0 1 0

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Remark 1

0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1

0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1

0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1

1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0

J I

0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1

0 0 1 0 1 0 0 0 0 0 0 1 1 0 1 1

0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1

1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0

J I

1

2

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System Model

d uR H GH X N APX N

2e

1

' ( , )j

N

i

i

i

x

xR N A P

x

Equal SNR

Wireless MIMO SwitchingWireless MIMO Switching INC SeminarINC Seminar1919

Throughput0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1

0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1

0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1

1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0

J I

2,1e 2

,2e 2,3e

2,

1log(1 )n

e n

r

Wireless MIMO SwitchingWireless MIMO Switching INC SeminarINC Seminar2020

Throughput

2,

1log(1 )n

e n

r

, n nk r c n

Equal traffic

1

1/m

nn

Nr

r

Wireless MIMO SwitchingWireless MIMO Switching INC SeminarINC Seminar2121

Remark 2

0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1

0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1

0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1

1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0

J I

Wireless MIMO SwitchingWireless MIMO Switching INC SeminarINC Seminar2222

w/ Network Coding

1

2

3

4

1

1

1

1

b

b

b

b

1

1

1

1

Wireless MIMO SwitchingWireless MIMO Switching INC SeminarINC Seminar2323

w/ Network Coding

1

2

3

4

1

1

1

1

b

b

b

b

1

1

1

1

Wireless MIMO SwitchingWireless MIMO Switching INC SeminarINC Seminar2424

Summary

MIMO Switching

Fair Switching

w/ Network Coding

INC

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