Mean Capacity of MIMO Systems over Rayleigh Fading Channel

Chunyan GAO  Ming ZHAO  Shidong ZHOU  Yan YAO  

IEICE TRANSACTIONS on Communications   Vol.E86-B   No.12   pp.3642-3645
Publication Date: 2003/12/01
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Terrestrial Radio Communications
MIMO system,  channel capacity,  Rayleigh fading channel,  

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Two important lemmas on the determinant of random matrixes are deduced in this paper. Then based on these results, expression for the mean capacity of MIMO system over Rayleigh fading channels is obtained. This expression requires little calculation and is simple and efficient compared with conventional methods, and furthermore, it gives an explicit relation on the mean capacity of MIMO systems with antenna numbers and the relation of mean capacity with signal to noise ratio (SNR). Accuracy of this theoretic formula has been verified by computer simulation.