On the Precoder Design of Flat Fading MIMO Systems Equipped With MMSE Receivers: A Large-System Approach

This paper is devoted to the design of precoders maximizing the ergodic mutual information (EMI) of bi-correlated flat fading MIMO systems equipped with MMSE receivers. The channel state information and the second-order statistics of the channel are assumed available at the receiver side and at the...

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Vydáno v:	IEEE transactions on information theory Ročník 57; číslo 7; s. 4138 - 4155
Hlavní autoři:	Artigue, C, Loubaton, P
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York, NY IEEE 01.07.2011 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Applied sciences Approximation methods Bi-correlated MIMO channels Context Covariance matrix Detection, estimation, filtering, equalization, prediction Electromagnetic compatibility ergodic capacity Exact sciences and technology Information theory Information, signal and communications theory integration by part formula large Gaussian random matrices Matrix MIMO MMSE receiver Optimization algorithms Poincaré-Nash inequality precoding schemes Receivers Receivers & amplifiers Signal and communications theory Signal to noise ratio Signal, noise Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments) Transmitters Transmitting antennas Second order Singularity Parameter estimation precoding schemes Transmitter Mean square error Electromagnetic disturbance integration by part formula Electromagnetic interference Coding Channel estimation ergodic capacity Pretreatment Receiving antenna Large scale system Fading MIMO system Bi-correlated MIMO channels Eigenvector Order statistic Ergodicity Covariance matrix Algorithm Statistical method Transmitting antenna Poincaré-Nash inequality large Gaussian random matrices Relative error Mutual information MMSE receiver
ISSN:	0018-9448, 1557-9654
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Popis
Shrnutí:	This paper is devoted to the design of precoders maximizing the ergodic mutual information (EMI) of bi-correlated flat fading MIMO systems equipped with MMSE receivers. The channel state information and the second-order statistics of the channel are assumed available at the receiver side and at the transmitter side respectively. As the direct maximization of the EMI needs the use of nonattractive algorithms, it is proposed to optimize an approximation of the EMI, introduced recently, obtained when the number of transmit and receive antennas t and τ converge to ∞ at the same rate. It is established that the relative error between the actual EMI and its approximation is a O ( [ 1/( t 2 )]) term. It is shown that the left singular eigenvectors of the optimum precoder coincide with the eigenvectors of the transmit covariance matrix, and its singular values are solution of a certain maximization problem. Numerical experiments show that the mutual information provided by this precoder is close from what is obtained by maximizing the true EMI, but that the algorithm maximizing the approximation is much less computationally intensive.
Bibliografie:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2011.2145710