A MIMO propagation channel model in a random medium

This paper presents an analytical expression of MIMO propagation matrix in a random medium. We first extend the SVD (singular value decomposition) to include the propagation channels in the random medium in terms of the stochastic Green´s functions. The eigenvalues and eigenfunctions are obtained from the transfer matrix langTrang = langH´Hrang. The elements of langTrang can be expressed analytically using the coherent Green´s function and the mutual coherence function. Examples are shown for the propagation channel consisting of a random distribution of scatterers. Included in this analysis are the effects of number density, scatterer sizes, scattering pattern, and scatterer locations.