The uniform correlation matrix and its application to diversity

Mallik, R. K. (2007) The uniform correlation matrix and its application to diversity IEEE Transactions on Wireless Communications, 6 (5). pp. 1619-1625. ISSN 1536-1276

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Official URL: http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arn...

Related URL: http://dx.doi.org/10.1109/TWC.2007.360361

Abstract

We consider a complex-valued L times L square matrix whose diagonal elements are unity, and lower and upper diagonal elements are the same, each lower diagonal element being equal to a (a ne 1) and each upper diagonal element being equal to b (b ne 1). We call this matrix the generalized semiuniform matrix, and denote it as M(a, b, L). For this matrix, we derive closed-form expressions for the characteristic polynomial, eigenvalues, eigenvectors, and inverse. Treating the non-real-valued uniform correlation matrix M(a, a, L), where (middot) denotes the complex conjugate and a ne a, as a Hermitian generalized semiuniform matrix, we obtain the eigenvalues, eigenvectors, and inverse of M(a, a, L) in closed form. We present applications of these results to the analysis of communication systems using diversity under correlated fading conditions.

Item Type:Article
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ID Code:79243
Deposited On:24 Jan 2012 15:12
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