MATLAB: How to calculate channel matrix for 2×2 mimo with unity variance

matrixvariance

hsr=sqrt(snr_l)*((randn(1,1000)+1j*randn(1,1000))/sqrt(2)) this is for SISO with unity variance

https://in.mathworks.com/help/phased/ref/scatteringchanmtx.html

As of April 2015, R2015a supports MIMO with B210, X300, and X310 radios. See http://www.mathworks.com/help/supportpkg/usrpradio/release-notes.html

mean = 1.0;
std = sqrt(10);
N = 10000;
u = (mean-sqrt(12)/2*std) + sqrt(12)*std*rand(N,1)

u is uniformly distributed on

[a:b] = [m-sqrt(12)/2*std:m+sqrt(12)/2*std]

with the prescribed mean and standard deviation.