Performance analysis of MIMO-MRC in double-correlated Rayleigh environments

Matthew R. McKay; Alex J. Grant; Iain B. Collings

doi:10.1109/TCOMM.2007.892450

Performance analysis of MIMO-MRC in double-correlated Rayleigh environments

Matthew R. McKay^*, Alex J. Grant, Iain B. Collings

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

249 Citations (Scopus)

Abstract

We consider multiple-input multiple-output (MIMO) transmit beamforming systems with maximum ratio combining (MRC) receivers. The operating environment is Rayleigh fading with both transmit and receive spatial correlation. We present exact expressions for the probability density function (pdf) of the output signal-to-noise ratio, as well as the system outage probability. The results are based on explicit closed-form expressions which we derive for the pdf and cumulative distribution function of the maximum eigenvalue of double-correlated complex Wishart matrices. For systems with two antennas at either the transmitter or the receiver, we also derive exact closed-form expressions for the symbol-error rate. The new expressions are used to prove that MIMO-MRC achieves the maximum available spatial diversity order, and to demonstrate the effect of spatial correlation. The analysis is validated through comparison with Monte Carlo simulations.

Original language	English
Pages (from-to)	497-507
Number of pages	11
Journal	IEEE Transactions on Communications
Volume	55
Issue number	3
DOIs	https://doi.org/10.1109/TCOMM.2007.892450
Publication status	Published - Mar 2007
Externally published	Yes

Keywords

Correlation
Diversity methods
Error analysis
Multiple-input multiple-output (MIMO) systems
Rayleigh channels

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10.1109/TCOMM.2007.892450

Cite this

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title = "Performance analysis of MIMO-MRC in double-correlated Rayleigh environments",

abstract = "We consider multiple-input multiple-output (MIMO) transmit beamforming systems with maximum ratio combining (MRC) receivers. The operating environment is Rayleigh fading with both transmit and receive spatial correlation. We present exact expressions for the probability density function (pdf) of the output signal-to-noise ratio, as well as the system outage probability. The results are based on explicit closed-form expressions which we derive for the pdf and cumulative distribution function of the maximum eigenvalue of double-correlated complex Wishart matrices. For systems with two antennas at either the transmitter or the receiver, we also derive exact closed-form expressions for the symbol-error rate. The new expressions are used to prove that MIMO-MRC achieves the maximum available spatial diversity order, and to demonstrate the effect of spatial correlation. The analysis is validated through comparison with Monte Carlo simulations.",

keywords = "Correlation, Diversity methods, Error analysis, Multiple-input multiple-output (MIMO) systems, Rayleigh channels",

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language = "English",

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journal = "IEEE Transactions on Communications",

issn = "0090-6778",

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AU - McKay, Matthew R.

AU - Grant, Alex J.

AU - Collings, Iain B.

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N2 - We consider multiple-input multiple-output (MIMO) transmit beamforming systems with maximum ratio combining (MRC) receivers. The operating environment is Rayleigh fading with both transmit and receive spatial correlation. We present exact expressions for the probability density function (pdf) of the output signal-to-noise ratio, as well as the system outage probability. The results are based on explicit closed-form expressions which we derive for the pdf and cumulative distribution function of the maximum eigenvalue of double-correlated complex Wishart matrices. For systems with two antennas at either the transmitter or the receiver, we also derive exact closed-form expressions for the symbol-error rate. The new expressions are used to prove that MIMO-MRC achieves the maximum available spatial diversity order, and to demonstrate the effect of spatial correlation. The analysis is validated through comparison with Monte Carlo simulations.

AB - We consider multiple-input multiple-output (MIMO) transmit beamforming systems with maximum ratio combining (MRC) receivers. The operating environment is Rayleigh fading with both transmit and receive spatial correlation. We present exact expressions for the probability density function (pdf) of the output signal-to-noise ratio, as well as the system outage probability. The results are based on explicit closed-form expressions which we derive for the pdf and cumulative distribution function of the maximum eigenvalue of double-correlated complex Wishart matrices. For systems with two antennas at either the transmitter or the receiver, we also derive exact closed-form expressions for the symbol-error rate. The new expressions are used to prove that MIMO-MRC achieves the maximum available spatial diversity order, and to demonstrate the effect of spatial correlation. The analysis is validated through comparison with Monte Carlo simulations.

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KW - Diversity methods

KW - Error analysis

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Performance analysis of MIMO-MRC in double-correlated Rayleigh environments

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Keywords

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