I am working on MIMO capacity. The model is

Y_{M*1}=G_{M*N}S_{N*1}+N_{M*1}

The entries of G are generated by rand(0,1).

C = log_2( det(I_{N*N} + SNR * S*S' * G'*G) )

In waterpouring, 

C_1 = log_2( det(I_{N*N} + SNR * Gamma * lamda(G'*G)) )

In equal power allocation,

C_2 = log_2( det(I_{N*N} + SNR * I_{N*N} * G'*G) )

The simulations show that C_2 > C_1 in low SNR region.

So strange !

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