On Analytical Derivations of the Condition Number Distributions of Dual Non-Central Wishart Matrices

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Executive Summary

In this paper, the authors explore the statistical characterization of Multiple-Input Multiple-Output (MIMO) channel correlation matrices with the main focus being on their condition number statistics. More specifically, novel expressions are derived for the Probability Density Function (PDF) and Cumulative Distribution Function (CDF) of the MIMO condition number. Contrary to the majority of related studies, where only the common case of Rayleigh fading was considered, their investigation is extended to account for the generalized case of Ricean fading where a deterministic Line-of-Sight (LoS) component exists in the communication link.

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