Precoding of Orthogonal Space-Time Block Codes in Arbitrarily Correlated MIMO Channels: Iterative and Closed-Form Solutions

A memoryless precoder is designed for orthogonal space-time block codes (OSTBCs) for multiple-input multiple-output (MIMO) channels exhibiting joint transmit-receive correlation. Unlike most previous similar works which concentrate on transmit correlation only and pair-wise error probability (PEP) m...

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Bibliographic Details
Published in:IEEE transactions on wireless communications Vol. 6; no. 3; pp. 1072 - 1082
Main Authors: Hjorungnes, A., Gesbert, D.
Format: Journal Article
Language:English
Published: Piscataway, NJ IEEE 01.03.2007
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Applied sciences
Block codes
Channels
Closed-form solution
Codes
Correlation
Directive antennas
Downlink
Error analysis
Exact sciences and technology
Exact solutions
Handles
Mathematical analysis
Mathematical models
MIMO
Pairwise error probability
Radiocommunications
Receiving antennas
Studies
Telecommunications
Telecommunications and information theory
Transmitters
Transmitters. Receivers
Transmitting antennas
Correlation coefficient
MIMO system
Block code
Space-time codes
minimum exact symbol error rate
Error probability
Error estimation
precoder optimization
Transmitter
Iterative method
orthogonal space-time block code
Algorithm
Optimization
power constraint
MIMO
Symbol error rate
ISSN:1536-1276, 1558-2248
Online Access:Get full text
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Description
Summary:A memoryless precoder is designed for orthogonal space-time block codes (OSTBCs) for multiple-input multiple-output (MIMO) channels exhibiting joint transmit-receive correlation. Unlike most previous similar works which concentrate on transmit correlation only and pair-wise error probability (PEP) metrics. 1) The precoder is designed to minimize the exact symbol error rate (SER) as function of the channel correlation coefficients, which are fed back to the transmitter. 2) The correlation is arbitrary as it may or may not follow the so-called Kronecker structure. 3) The proposed method can handle general propagation settings including those arising from a cooperative macro-diversity (multi-base) scenario. We present two algorithms. The first is suboptimal, but provides a simple closed-form precoder that handles the case of uncorrelated transmitters, correlated receivers. The second is a fast-converging numerical optimization of the exact SEE which covers the general case. Finally, a number of novel properties of the minimum SER precoder are derived
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ISSN:1536-1276
1558-2248
DOI:10.1109/TWC.2007.05271