Random matrices and communication systems: WEEK

Yk = HkXk + Zk where k ∈ {1, . . . , N} is the time index and • (X1, . . . , XN ) is the input vector submitted to the average power constraint E ( 1 N ∑N k=1 |Xk| ) ≤ P ; • (Z1, . . . , ZN ) is the noise vector, whose components are i.i.d.∼ NC(0, σ) random variables, independent of X1, . . . , XN ; • (Y1, . . . , YN ) is the output vector; • H1, . . . ,HN are the fading coefficients (to be specified below).