Accurate approximations for the capacity distribution of OFDM-based spatial multiplexing

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

doi:10.1109/ICC.2007.890

Accurate approximations for the capacity distribution of OFDM-based spatial multiplexing

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

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

3 Citations (Scopus)

Abstract

We derive new analytic approximations to the capacity distribution of frequency-selective Rayleigh fading MIMO channels. The results apply specifically to OFDM-based spatial multiplexing. In particular, we present a new closed-form Gaussian approximation which yields very high accuracy in many scenarios. For the low SNR regime, we also present a new simpler closed-form Gamma approximation, which we show to be even more accurate than Gaussian in this case. Our approximations are based on new exact closed-form expressions which we derive for the variance of the mutual information which, in contrast to previous results, apply for systems with both arbitrary numbers of antennas and arbitrary-length channel delay profiles.

Original language	English
Title of host publication	2007 IEEE International Conference on Communications, ICC'07
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	5377-5382
Number of pages	6
ISBN (Print)	1424403537, 9781424403530
DOIs	https://doi.org/10.1109/ICC.2007.890
Publication status	Published - 2007
Externally published	Yes
Event	2007 IEEE International Conference on Communications, ICC'07 - Glasgow, Scotland, United Kingdom Duration: 24 Jun 2007 → 28 Jun 2007

Other

Other	2007 IEEE International Conference on Communications, ICC'07
Country/Territory	United Kingdom
City	Glasgow, Scotland
Period	24/06/07 → 28/06/07

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10.1109/ICC.2007.890

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@inproceedings{d48536d47a2a4759830c1ffb34e49f29,

title = "Accurate approximations for the capacity distribution of OFDM-based spatial multiplexing",

abstract = "We derive new analytic approximations to the capacity distribution of frequency-selective Rayleigh fading MIMO channels. The results apply specifically to OFDM-based spatial multiplexing. In particular, we present a new closed-form Gaussian approximation which yields very high accuracy in many scenarios. For the low SNR regime, we also present a new simpler closed-form Gamma approximation, which we show to be even more accurate than Gaussian in this case. Our approximations are based on new exact closed-form expressions which we derive for the variance of the mutual information which, in contrast to previous results, apply for systems with both arbitrary numbers of antennas and arbitrary-length channel delay profiles.",

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

year = "2007",

doi = "10.1109/ICC.2007.890",

language = "English",

isbn = "1424403537",

pages = "5377--5382",

booktitle = "2007 IEEE International Conference on Communications, ICC'07",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "2007 IEEE International Conference on Communications, ICC'07 ; Conference date: 24-06-2007 Through 28-06-2007",

}

McKay, MR, Smith, PJ, Suraweera, HA & Collings, IB 2007, Accurate approximations for the capacity distribution of OFDM-based spatial multiplexing. in 2007 IEEE International Conference on Communications, ICC'07., 4289561, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 5377-5382, 2007 IEEE International Conference on Communications, ICC'07, Glasgow, Scotland, United Kingdom, 24/06/07. https://doi.org/10.1109/ICC.2007.890

Accurate approximations for the capacity distribution of OFDM-based spatial multiplexing. / McKay, Matthew R.; Smith, Peter J.; Suraweera, Himal A. et al.
2007 IEEE International Conference on Communications, ICC'07. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2007. p. 5377-5382 4289561.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

TY - GEN

T1 - Accurate approximations for the capacity distribution of OFDM-based spatial multiplexing

AU - McKay, Matthew R.

AU - Smith, Peter J.

AU - Suraweera, Himal A.

AU - Collings, Iain B.

PY - 2007

Y1 - 2007

N2 - We derive new analytic approximations to the capacity distribution of frequency-selective Rayleigh fading MIMO channels. The results apply specifically to OFDM-based spatial multiplexing. In particular, we present a new closed-form Gaussian approximation which yields very high accuracy in many scenarios. For the low SNR regime, we also present a new simpler closed-form Gamma approximation, which we show to be even more accurate than Gaussian in this case. Our approximations are based on new exact closed-form expressions which we derive for the variance of the mutual information which, in contrast to previous results, apply for systems with both arbitrary numbers of antennas and arbitrary-length channel delay profiles.

AB - We derive new analytic approximations to the capacity distribution of frequency-selective Rayleigh fading MIMO channels. The results apply specifically to OFDM-based spatial multiplexing. In particular, we present a new closed-form Gaussian approximation which yields very high accuracy in many scenarios. For the low SNR regime, we also present a new simpler closed-form Gamma approximation, which we show to be even more accurate than Gaussian in this case. Our approximations are based on new exact closed-form expressions which we derive for the variance of the mutual information which, in contrast to previous results, apply for systems with both arbitrary numbers of antennas and arbitrary-length channel delay profiles.

UR - https://www.scopus.com/pages/publications/38549136853

U2 - 10.1109/ICC.2007.890

DO - 10.1109/ICC.2007.890

M3 - Conference proceeding contribution

AN - SCOPUS:38549136853

SN - 1424403537

SN - 9781424403530

SP - 5377

EP - 5382

BT - 2007 IEEE International Conference on Communications, ICC'07

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Piscataway, NJ

T2 - 2007 IEEE International Conference on Communications, ICC'07

Y2 - 24 June 2007 through 28 June 2007

ER -

Accurate approximations for the capacity distribution of OFDM-based spatial multiplexing

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