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On the Capacity Achieving Covariance Matrix for Frequency Selective MIMO\n Channels Using the Asymptotic Approach

2010/01/18 by Florian Dupuy, Dupuy, Florian, Loubaton, Philippe +1
Engineering · Computer Science · #Advanced Wireless Communication Techniques #Advanced MIMO Systems Optimization #Cooperative Communication and Network Coding

paper · pdf · doi:10.48550/arxiv.1001.3102

Abstract

In this contribution, an algorithm for evaluating the capacity-achieving\ninput covariance matrices for frequency selective Rayleigh MIMO channels is\nproposed. In contrast with the flat fading Rayleigh cases, no closed-form\nexpressions for the eigenvectors of the optimum input covariance matrix are\navailable. Classically, both the eigenvectors and eigenvalues are computed\nnumerically and the corresponding optimization algorithms remain\ncomputationally very demanding. In this paper, it is proposed to optimize\n(w.r.t. the input covariance matrix) a large system approximation of the\naverage mutual information derived by Moustakas and Simon. An algorithm based\non an iterative water filling scheme is proposed, and its convergence is\nstudied. Numerical simulation results show that, even for a moderate number of\ntransmit and receive antennas, the new approach provides the same results as\ndirect maximization approaches of the average mutual information.\n

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