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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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 57; no. 7; pp. 4138 - 4155
Main Authors: Artigue, C, Loubaton, P
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.07.2011
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
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
Online Access:Get full text
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Description
Summary: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.
Bibliography:SourceType-Scholarly Journals-1
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2011.2145710