An Efficient Statistical Approach for Calculation of Capacity of MIMO Channels

H. Zhu, Z. Shi, B. Farhang-Beroujeny (USA), and C. Schlege (Canada)


MIMO Channel, Discrete Capacity, Monte-Carlo


Channel capacity sets a fundamental limit on the rates pos sible for reliable transmission over communication links. The capacity of a multiple-input multiple-output (MIMO) fading channel has been extensively studied for inputs with optimal continuous distribution. On the other hand, it is the channel limits with discrete input distributions that are of practical interest in most cases, since they can serve as the basic performance benchmarks for systems employing realistic modulations such as M-PSK and M-QAM. How ever, due to the prohibitive computation burden incurred primarily by the multidimensional integrals and summa tions, few results have been reported so far for capacities of MIMO channels with discrete inputs, especially for high dimension systems. In this paper, we propose an efficient statistical approach to address this problem. It is analyt ically shown that such a methodology achieves results in satisfactory precision with manageable complexity even in high-dimension cases. Numerical experiments performed for several different system setups verify our conclusion.

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