TAILIEUCHUNG - Báo cáo sinh học: " Research Article On Marginal Distributions of the Ordered Eigenvalues of Certain Random Matrices"

Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Research Article On Marginal Distributions of the Ordered Eigenvalues of Certain Random Matrices | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2010 Article ID 957243 12 pages doi 2010 957243 Research Article On Marginal Distributions of the Ordered Eigenvalues of Certain Random Matrices Haochuan Zhang 1 Shi Jin 2 Xin Zhang 1 and Dacheng Yang1 1 School of Information and Communication Engineering Beijing University of Posts and Telecommunications Beijing 100876 China 2National Mobile Communications Research Laboratory Southeast University Nanjing 210096 China Correspondence should be addressed to Haochuan Zhang zhcbupt@ Received 27 November 2009 Revised 13 May 2010 Accepted 2 July 2010 Academic Editor Athanasios Rontogiannis Copyright 2010 Haochuan Zhang et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. This paper presents a general expression for the marginal distributions of the ordered eigenvalues of certain important random matrices. The expression given in terms of matrix determinants is compacter in representation and more efficient in computational complexity than existing results in the literature. As an illustrative application of the new result we then analyze the performance of the multiple-input multiple-output singular value decomposition system. Analytical expressions for the average symbol error rate and the outage probability are derived assuming the general double-scattering fading condition. 1. Introduction Random matrix theory since its inception has been known as a powerful tool for solving practical problems arising in physics statistics and engineering 1-3 . Recently an important aspect of random matrix theory that is the distribution of the eigenvalues of random matrices has been successfully applied to the analysis and design of wireless communication systems 4 . These applications mostly concerning the .

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