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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Source: | Copyright of this article belongs to IEEE. |
ID Code: | 79243 |
Deposited On: | 24 Jan 2012 15:12 |
Last Modified: | 24 Jan 2012 15:12 |
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