On the asymptotic eigenvalue distribution of concatenated vector-valued fading channels

The linear vector-valued channel x/spl rarr/ /spl Phi//sub i/M/sub i/x+z is analyzed in the asymptotic regime as the dimensions of the matrices and vectors involved become large. The eigenvalue distribution of the channel's covariance matrix is given in terms of its Stieltjes transform. The channel gets more and more ill-conditioned the more factors appear in the product. The study is of interest for cellular radio channels with receiving/transmitting antenna arrays.