bee
Full Member level 2

do anyone has got the proof or have any idea of getting this proof that MMSE equation i.e. min E [|| WY-X ||^2] can be standerized to ( (H'H+σ²)^-1 )H'
where ' ----> hermettian transpose
^2 ---> rasie to the power 2
^-1 ----> raise to the power -1
σ ------> noise variance
E [] -----> mean
tthe system considered above is Y = HX+N , where X is transmiites signal, Y is recieved, H is the channel matrix and N is white gaussian noise. W is the MMSE filter coefficent.
where ' ----> hermettian transpose
^2 ---> rasie to the power 2
^-1 ----> raise to the power -1
σ ------> noise variance
E [] -----> mean
tthe system considered above is Y = HX+N , where X is transmiites signal, Y is recieved, H is the channel matrix and N is white gaussian noise. W is the MMSE filter coefficent.