A question about Zero Forcing equalizer

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Mellon

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Hi, I am going to simulate the performance of ZF equalizer, I know the concept of this equalizer is: if the transmitted signal is Y=H*X+n, the equalizer frequency response will be H_eq=H'/(H'*H),
so that Y*H_eq=X+n*H_eq, which means the channel effect on X has removed but noise is enhanced. So I think in matlab, I should define the Rayleigh channel H which should satisfy H*H'=I

I have two questions:

Question 1: if I have 2*2 system, I think I could define the channel H=1/sqrt(2)*(randn(2,2))+i*randn(2,2)), But this H did not satisfy H*H'=I , How can I define H so that H*H'=I is satisfied? I is identity matrix[1 0;0 1]].

Question 2: Am I right the channel H must satisfy H*H'=I ??
 

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