On the Statistical Properties of the Capacity of Spatially Correlated Nakagami-M MIMO Channels

This paper studies the statistical properties of the channel capacity of spatially correlated Nakagami-m multiple- input multiple-output (MIMO) channels. We have derived closed- form expressions for the probability density function (PDF), the cumulative distribution function (CDF), the level-crossing rate (LCR), and the average duration of fades (ADF) of the lower bound on the channel capacity. In order to study the impact of the spatial correlation on the channel capacity, the analysis of the statistical properties of the channel capacity is carried out for different receiver antenna spacings. It is observed that the antenna spacing has a significant influence on the spread and maximum value of the PDF and LCR. The proposed method can be employed to study the statistical properties of the capacity of MIMO channels in different fading environments. The correctness of the analytical expressions is confirmed by simulations.

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