EE620-HW-02-solutions

# EE620-HW-02-solutions - EE 620 MIMO Wireless Communications...

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1 EE 620: MIMO Wireless Communications Solutions for Homework #2: (1) We have two ST signals. The spectral efficiency of the set of two ST signals is 2 2 log log 2 0.5 bit/s/Hz 2 L R T = = = (2) Mt=2, Mr=1. At time t , the signal received at receiver is given by 2 1 1 , 1,2 2 t M i i t i t t i t t i i t y hC hC t M ρ ρ η η = = = + = + = The system average SNR is { } 2 2 2 2 2 2 t=1 1 t=1 1 2 2 2 2 1 1 2 2 SNR= i i i t i t i i t t t t E hC E hC E E ρ ρ η η = = = = = ∑ ∑ 2 2 2 2 * * * * ' ' 1 1 1 1 , ' 2 2 2 2 * * ' ' 1 1 , ' 2 2 2 2 2 2 2 i i i i i i t i t i t i i t t i i i i i i i i i t i i t t i i i hC hC h C h h C C h C h h C C ρ ρ ρ ρ ρ ρ = = = =  = =    = + { } { } { } { } { } { } { } 2 2 2 2 2 * * ' ' 1 1 1 , ' 2 2 2 2 * * ' ' 1 1 , ' 2 2 2 1 2 2 2 2 2 2 i i i i i t i t i i t t i i i i i i i i t i i t t i i i i t i E hC E h C E h h C C E h E C E h E h E C C E C ρ ρ ρ ρ ρ ρ = = = = = + = + = where { } { } * ' 0, 0 i i E h E h = = Thus, { } 2 2 2 2 2 2 2 t=1 1 t=1

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