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Simple Approximation of Largest Eigenvalue Distribution in MIMO Channels Under NakagamiRice Fading
Tetsuki TANIGUCHI Shen SHA Yoshio KARASAWA Makoto TSURUTA
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E90A
No.9
pp.18621870 Publication Date: 2007/09/01 Online ISSN: 17451337
DOI: 10.1093/ietfec/e90a.9.1862 Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications) Category: Keyword: MIMO, eigenvalue, Wishart matrix, NakagamiRice fading, Nakagami m fading, maximum ratio combining,
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Summary:
This paper presents an approximation method of statistical distribution of the largest eigenvalue of i.i.d. (independent and identically distributed) MIMO (multiple input multiple output) channel correlation matrices under NakagamiRice fading environment. The equation is actually derived for MIMO Nakagami m fading channel which is known as a good approximation of NakagamiRice fading, hence it well approximates the curves of the largest eigenvalue distribution of noncentral Wishart matrices. In the proposed approximation method, MIMO MRC (maximal ratio combining) system is ascribed to SIMO space diversity theory with the same number of branches, and the statistical distribution becomes a monomial gamma distribution. As a result, the derived marginal density function does not contain any special functions, and has a simple monomial gamma form which is suitable for various calculations of performance indices. Through computer simulations, it is shown that the proposed approximation formula is effective and has a better precision than conventional method.


