A theoretical framework for LMS MIMO communication systems performance analysis

A statistical model for land mobile satellite (LMS) channels, where transmitters and receivers are equipped with multiple antennas, is introduced. In addition to the probability density function (pdf) of the channel matrix grammian, spectral statistics are given. They allow the theoretical performance analysis of the newly proposed channel model from both a communication and an information-theoretic point of view. More specifically, relying on recent results on finite-dimensional random matrix theory, the statistics of an unordered eigenvalue and of the maximum eigenvalue of the channel matrix grammian are evaluated in closed form. The eigenanalysis paves the way for the calculus of the outage probability for adaptive transmission strategies. Moreover, it permits the computation of the ergodic mutual information in the coherent case. The results are illustrated through several examples, aimed at assessing the impact on the performance of the diversity order and/or the line-of-sight (LOS) fluctuations.