Optimal transmit covariance for MIMO channels with statistical transmitter side information

Leif W. Hanlen; Alex J. Grant

doi:10.1109/ISIT.2005.1523659

Optimal transmit covariance for MIMO channels with statistical transmitter side information

Leif W. Hanlen^*, Alex J. Grant

^*Corresponding author for this work

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

23 Citations (Scopus)

Abstract

We give an optimality condition for the input covariance for arbitrary ergodic Gaussian vector channels under the condition that the channel gains are independent of the transmit signal, the transmitter has knowledge of the channel gain probability law and the receiver has knowledge of each channel realization. Using this optimality condition, we find an iterative algorithm for numerical computation of optimal input covariance matrices.

Original language	English
Title of host publication	Proceedings of the 2005 IEEE International Symposium on Information Theory, ISIT 05
Pages	1818-1822
Number of pages	5
DOIs	https://doi.org/10.1109/ISIT.2005.1523659
Publication status	Published - 2005
Externally published	Yes
Event	2005 IEEE International Symposium on Information Theory, ISIT 05 - Adelaide, Australia Duration: 4 Sept 2005 → 9 Sept 2005

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2005
ISSN (Print)	2157-8099

Conference

Conference	2005 IEEE International Symposium on Information Theory, ISIT 05
Country/Territory	Australia
City	Adelaide
Period	4/09/05 → 9/09/05

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10.1109/ISIT.2005.1523659

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Hanlen, L. W., & Grant, A. J. (2005). Optimal transmit covariance for MIMO channels with statistical transmitter side information. In Proceedings of the 2005 IEEE International Symposium on Information Theory, ISIT 05 (pp. 1818-1822). Article 1523659 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2005). https://doi.org/10.1109/ISIT.2005.1523659

@inproceedings{3d9c0ac4dd994b3aa13ec3d5a4eea759,

title = "Optimal transmit covariance for MIMO channels with statistical transmitter side information",

abstract = "We give an optimality condition for the input covariance for arbitrary ergodic Gaussian vector channels under the condition that the channel gains are independent of the transmit signal, the transmitter has knowledge of the channel gain probability law and the receiver has knowledge of each channel realization. Using this optimality condition, we find an iterative algorithm for numerical computation of optimal input covariance matrices.",

author = "Hanlen, {Leif W.} and Grant, {Alex J.}",

year = "2005",

doi = "10.1109/ISIT.2005.1523659",

language = "English",

isbn = "0780391519",

series = "IEEE International Symposium on Information Theory - Proceedings",

pages = "1818--1822",

booktitle = "Proceedings of the 2005 IEEE International Symposium on Information Theory, ISIT 05",

note = "2005 IEEE International Symposium on Information Theory, ISIT 05 ; Conference date: 04-09-2005 Through 09-09-2005",

}

Hanlen, LW & Grant, AJ 2005, Optimal transmit covariance for MIMO channels with statistical transmitter side information. in Proceedings of the 2005 IEEE International Symposium on Information Theory, ISIT 05., 1523659, IEEE International Symposium on Information Theory - Proceedings, vol. 2005, pp. 1818-1822, 2005 IEEE International Symposium on Information Theory, ISIT 05, Adelaide, Australia, 4/09/05. https://doi.org/10.1109/ISIT.2005.1523659

Optimal transmit covariance for MIMO channels with statistical transmitter side information. / Hanlen, Leif W.; Grant, Alex J.
Proceedings of the 2005 IEEE International Symposium on Information Theory, ISIT 05. 2005. p. 1818-1822 1523659 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2005).

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

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T1 - Optimal transmit covariance for MIMO channels with statistical transmitter side information

AU - Hanlen, Leif W.

AU - Grant, Alex J.

PY - 2005

Y1 - 2005

N2 - We give an optimality condition for the input covariance for arbitrary ergodic Gaussian vector channels under the condition that the channel gains are independent of the transmit signal, the transmitter has knowledge of the channel gain probability law and the receiver has knowledge of each channel realization. Using this optimality condition, we find an iterative algorithm for numerical computation of optimal input covariance matrices.

AB - We give an optimality condition for the input covariance for arbitrary ergodic Gaussian vector channels under the condition that the channel gains are independent of the transmit signal, the transmitter has knowledge of the channel gain probability law and the receiver has knowledge of each channel realization. Using this optimality condition, we find an iterative algorithm for numerical computation of optimal input covariance matrices.

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DO - 10.1109/ISIT.2005.1523659

M3 - Conference contribution

SN - 0780391519

SN - 9780780391512

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 1818

EP - 1822

BT - Proceedings of the 2005 IEEE International Symposium on Information Theory, ISIT 05

T2 - 2005 IEEE International Symposium on Information Theory, ISIT 05

Y2 - 4 September 2005 through 9 September 2005

ER -

Optimal transmit covariance for MIMO channels with statistical transmitter side information

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