New properties of complex noncentral quadratic forms and bounds on MIMO mutual information

Matthew R. McKay; Peter J. Smith; Iain B. Collings

doi:10.1109/ISIT.2006.261997

New properties of complex noncentral quadratic forms and bounds on MIMO mutual information

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

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

This paper presents new statistical properties of complex noncentral matrix-variate quadratic forms. In contrast to previous results, the expressions do not involve infinite sums over partitions, or matrix-variate polynomials, and are easily and efficiently computable. These properties are used to derive new upper and lower bounds on the ergodic mutual information of double-sided correlated Rician MIMO channels with arbitrary-rank channel mean matrices. The bounds are shown to be tighter than previous reported bounds in the literature.

Original language	English
Title of host publication	Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	1209-1213
Number of pages	5
ISBN (Print)	1424405041, 9781424405046
DOIs	https://doi.org/10.1109/ISIT.2006.261997
Publication status	Published - 2006
Externally published	Yes
Event	2006 IEEE International Symposium on Information Theory, ISIT 2006 - Seattle, WA, United States Duration: 9 Jul 2006 → 14 Jul 2006

Other

Other	2006 IEEE International Symposium on Information Theory, ISIT 2006
Country/Territory	United States
City	Seattle, WA
Period	9/07/06 → 14/07/06

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10.1109/ISIT.2006.261997

Cite this

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title = "New properties of complex noncentral quadratic forms and bounds on MIMO mutual information",

abstract = "This paper presents new statistical properties of complex noncentral matrix-variate quadratic forms. In contrast to previous results, the expressions do not involve infinite sums over partitions, or matrix-variate polynomials, and are easily and efficiently computable. These properties are used to derive new upper and lower bounds on the ergodic mutual information of double-sided correlated Rician MIMO channels with arbitrary-rank channel mean matrices. The bounds are shown to be tighter than previous reported bounds in the literature.",

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

year = "2006",

doi = "10.1109/ISIT.2006.261997",

language = "English",

isbn = "1424405041",

pages = "1209--1213",

booktitle = "Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006",

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

address = "United States",

note = "2006 IEEE International Symposium on Information Theory, ISIT 2006 ; Conference date: 09-07-2006 Through 14-07-2006",

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McKay, MR, Smith, PJ & Collings, IB 2006, New properties of complex noncentral quadratic forms and bounds on MIMO mutual information. in Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006., 4036157, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 1209-1213, 2006 IEEE International Symposium on Information Theory, ISIT 2006, Seattle, WA, United States, 9/07/06. https://doi.org/10.1109/ISIT.2006.261997

New properties of complex noncentral quadratic forms and bounds on MIMO mutual information. / McKay, Matthew R.; Smith, Peter J.; Collings, Iain B.

Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2006. p. 1209-1213 4036157.

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

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AU - Smith, Peter J.

AU - Collings, Iain B.

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AB - This paper presents new statistical properties of complex noncentral matrix-variate quadratic forms. In contrast to previous results, the expressions do not involve infinite sums over partitions, or matrix-variate polynomials, and are easily and efficiently computable. These properties are used to derive new upper and lower bounds on the ergodic mutual information of double-sided correlated Rician MIMO channels with arbitrary-rank channel mean matrices. The bounds are shown to be tighter than previous reported bounds in the literature.

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M3 - Conference proceeding contribution

AN - SCOPUS:39049151739

SN - 1424405041

SN - 9781424405046

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EP - 1213

BT - Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006

PB - Institute of Electrical and Electronics Engineers (IEEE)

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T2 - 2006 IEEE International Symposium on Information Theory, ISIT 2006

Y2 - 9 July 2006 through 14 July 2006

ER -

New properties of complex noncentral quadratic forms and bounds on MIMO mutual information

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