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On the first and second order statistics of sparse MIMO channels

In this work sparse Multiple-Input, Multiple-Output (MIMO) channels are analyzed. Analytical expressions are derived for the first and second order statistics of the unordered channel eigenvalues and for capacity of a single cluster MIMO channel. We show that the capacity process is approximately Gaussian for even a small number of clusters and further derive an approximate LCR and AFD expression for the multiple cluster MIMO channel.