On the mutual information distribution of OFDM-Based spatial multiplexing: Exact variance and outage approximation

Matthew R. McKay; Peter J. Smith; Himal A. Suraweera; Iain B. Collings

doi:10.1109/TIT.2008.924685

On the mutual information distribution of OFDM-Based spatial multiplexing: Exact variance and outage approximation

Matthew R. McKay^*, Peter J. Smith, Himal A. Suraweera, Iain B. Collings

^*Corresponding author for this work

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

68 Citations (Scopus)

Abstract

This communication considers the distribution of the mutual information of frequency-selective spatially uncorrelated Rayleigh fading multiple-input-multiple-output (MIMO) channels. Results are presented for orthogonal frequency-division multiplexing (OFDM)-based spatial multiplexing. New exact closed-form expressions are derived for the variance of the mutual information. In contrast to previous results, our new expressions apply for systems with both arbitrary numbers of antennas and arbitrary-length channels. Simplified expressions are also presented for high and low signal-to-noise ratio (SNR) regimes. The analytical variance results are used to provide accurate analytical approximations for the distribution of the mutual information, and the outage capacity.

Original language	English
Pages (from-to)	3260-3278
Number of pages	19
Journal	IEEE Transactions on Information Theory
Volume	54
Issue number	7
DOIs	https://doi.org/10.1109/TIT.2008.924685
Publication status	Published - Jul 2008
Externally published	Yes

Keywords

Multiple-input-multiple-output (MIMO) systems
Mutual information
Orthogonal frequency-division multiplexing (OFDM)

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10.1109/TIT.2008.924685

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title = "On the mutual information distribution of OFDM-Based spatial multiplexing: Exact variance and outage approximation",

abstract = "This communication considers the distribution of the mutual information of frequency-selective spatially uncorrelated Rayleigh fading multiple-input-multiple-output (MIMO) channels. Results are presented for orthogonal frequency-division multiplexing (OFDM)-based spatial multiplexing. New exact closed-form expressions are derived for the variance of the mutual information. In contrast to previous results, our new expressions apply for systems with both arbitrary numbers of antennas and arbitrary-length channels. Simplified expressions are also presented for high and low signal-to-noise ratio (SNR) regimes. The analytical variance results are used to provide accurate analytical approximations for the distribution of the mutual information, and the outage capacity.",

keywords = "Multiple-input-multiple-output (MIMO) systems, Mutual information, Orthogonal frequency-division multiplexing (OFDM)",

author = "McKay, {Matthew R.} and Smith, {Peter J.} and Suraweera, {Himal A.} and Collings, {Iain B.}",

year = "2008",

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T1 - On the mutual information distribution of OFDM-Based spatial multiplexing

T2 - Exact variance and outage approximation

AU - McKay, Matthew R.

AU - Smith, Peter J.

AU - Suraweera, Himal A.

AU - Collings, Iain B.

PY - 2008/7

Y1 - 2008/7

N2 - This communication considers the distribution of the mutual information of frequency-selective spatially uncorrelated Rayleigh fading multiple-input-multiple-output (MIMO) channels. Results are presented for orthogonal frequency-division multiplexing (OFDM)-based spatial multiplexing. New exact closed-form expressions are derived for the variance of the mutual information. In contrast to previous results, our new expressions apply for systems with both arbitrary numbers of antennas and arbitrary-length channels. Simplified expressions are also presented for high and low signal-to-noise ratio (SNR) regimes. The analytical variance results are used to provide accurate analytical approximations for the distribution of the mutual information, and the outage capacity.

AB - This communication considers the distribution of the mutual information of frequency-selective spatially uncorrelated Rayleigh fading multiple-input-multiple-output (MIMO) channels. Results are presented for orthogonal frequency-division multiplexing (OFDM)-based spatial multiplexing. New exact closed-form expressions are derived for the variance of the mutual information. In contrast to previous results, our new expressions apply for systems with both arbitrary numbers of antennas and arbitrary-length channels. Simplified expressions are also presented for high and low signal-to-noise ratio (SNR) regimes. The analytical variance results are used to provide accurate analytical approximations for the distribution of the mutual information, and the outage capacity.

KW - Multiple-input-multiple-output (MIMO) systems

KW - Mutual information

KW - Orthogonal frequency-division multiplexing (OFDM)

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SN - 0018-9448

VL - 54

SP - 3260

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JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 7

ER -

On the mutual information distribution of OFDM-Based spatial multiplexing: Exact variance and outage approximation

Abstract

Keywords

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