Simplified Eigenvalues Distributions of 2 Ã\x97 2 Complex Noncentral Wishart

This paper derives new simplified analytical cumulative density functions for the eigenvalues of complex noncentral Wishart matrix of size 2times2. Such distributions are often encountered in multiple input multiple output (MIMO) Ricean channels. The results derived herein are general for any arbitrary non-centrality matrix, and they account the cases having identical or non-identical eigenvalues of the underlying non-centrality matrix. When compared to the generalized distribution recently found in literature which only treated the case of non-identical eigenvalue of the non-centrality matrix, the expressions presented in this paper exhibit a larger parameters range to which the numerical calculation remains computationally viable.