Rate-optimal MIMO transmission with mean and covariance feedback at low SNRs

Ramy H. Gohary; Wessam Mesbah; Timothy N. Davidson

doi:10.1109/TVT.2009.2015670

Rate-optimal MIMO transmission with mean and covariance feedback at low SNRs

Ramy H. Gohary^*, Wessam Mesbah, Timothy N. Davidson

^*Corresponding author for this work

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

7 Scopus citations

Abstract

This paper considers a multiple-input-multiple-output (MIMO) wireless communication scenario in which the channel follows a block-fading model with a general spatially correlated complex Gaussian distribution with nonzero mean. We derive an explicit characterization of the (ergodic) rate-optimal input covariance for systems that operate at low signal-to-noise ratios (SNRs). In particular, we obtain a closed-form expression for the matrix whose principal eigenvector yields the optimal beamforming direction. For the class of nonzero-mean channels with Kronecker-structured covariance, we also derive a threshold on the input signal power below which the low-SNR approximation is accurate. Our numerical results show that significant improvements in the low-SNR achievable rate can be obtained by (jointly) exploiting the mean and covariance of the channel model. Our results also show that these improvements can be extended to moderate-to-high SNRs by signaling along the low-SNR optimal eigenbasis with optimized power allocation.

Original language	English
Pages (from-to)	3802-3807
Number of pages	6
Journal	IEEE Transactions on Vehicular Technology
Volume	58
Issue number	7
DOIs	https://doi.org/10.1109/TVT.2009.2015670
State	Published - 2009
Externally published	Yes

Bibliographical note

Funding Information:
Manuscript received December 30, 2007; revised December 24, 2008. First published February 24, 2009; current version published August 14, 2009. This work was supported in part by the Government of Ontario under the Premier’s Research Excellence Award. The work of T. N. Davidson was supported by the Canada Research Chair Program. The review of this paper was coordinated by Prof. H.-H. Chen.

Keywords

Correlated channel with nonzero mean
Ergodic capacity
Low signal-to-noise ratio (SNR) signaling
Multiple-input-multiple-output (MIMO) systems
Noncentral Wishart distribution
Statistical channel state information (CSI)

ASJC Scopus subject areas

Automotive Engineering
Aerospace Engineering
Electrical and Electronic Engineering
Applied Mathematics

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10.1109/TVT.2009.2015670

Cite this

@article{a4339b0e4d6c4c54b5ad5d8433bfa068,

title = "Rate-optimal MIMO transmission with mean and covariance feedback at low SNRs",

abstract = "This paper considers a multiple-input-multiple-output (MIMO) wireless communication scenario in which the channel follows a block-fading model with a general spatially correlated complex Gaussian distribution with nonzero mean. We derive an explicit characterization of the (ergodic) rate-optimal input covariance for systems that operate at low signal-to-noise ratios (SNRs). In particular, we obtain a closed-form expression for the matrix whose principal eigenvector yields the optimal beamforming direction. For the class of nonzero-mean channels with Kronecker-structured covariance, we also derive a threshold on the input signal power below which the low-SNR approximation is accurate. Our numerical results show that significant improvements in the low-SNR achievable rate can be obtained by (jointly) exploiting the mean and covariance of the channel model. Our results also show that these improvements can be extended to moderate-to-high SNRs by signaling along the low-SNR optimal eigenbasis with optimized power allocation.",

keywords = "Correlated channel with nonzero mean, Ergodic capacity, Low signal-to-noise ratio (SNR) signaling, Multiple-input-multiple-output (MIMO) systems, Noncentral Wishart distribution, Statistical channel state information (CSI)",

author = "Gohary, \{Ramy H.\} and Wessam Mesbah and Davidson, \{Timothy N.\}",

note = "Funding Information: Manuscript received December 30, 2007; revised December 24, 2008. First published February 24, 2009; current version published August 14, 2009. This work was supported in part by the Government of Ontario under the Premier{\textquoteright}s Research Excellence Award. The work of T. N. Davidson was supported by the Canada Research Chair Program. The review of this paper was coordinated by Prof. H.-H. Chen.",

year = "2009",

doi = "10.1109/TVT.2009.2015670",

language = "English",

volume = "58",

pages = "3802--3807",

journal = "IEEE Transactions on Vehicular Technology",

issn = "0018-9545",

number = "7",

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TY - JOUR

T1 - Rate-optimal MIMO transmission with mean and covariance feedback at low SNRs

AU - Gohary, Ramy H.

AU - Mesbah, Wessam

AU - Davidson, Timothy N.

N1 - Funding Information: Manuscript received December 30, 2007; revised December 24, 2008. First published February 24, 2009; current version published August 14, 2009. This work was supported in part by the Government of Ontario under the Premier’s Research Excellence Award. The work of T. N. Davidson was supported by the Canada Research Chair Program. The review of this paper was coordinated by Prof. H.-H. Chen.

PY - 2009

Y1 - 2009

N2 - This paper considers a multiple-input-multiple-output (MIMO) wireless communication scenario in which the channel follows a block-fading model with a general spatially correlated complex Gaussian distribution with nonzero mean. We derive an explicit characterization of the (ergodic) rate-optimal input covariance for systems that operate at low signal-to-noise ratios (SNRs). In particular, we obtain a closed-form expression for the matrix whose principal eigenvector yields the optimal beamforming direction. For the class of nonzero-mean channels with Kronecker-structured covariance, we also derive a threshold on the input signal power below which the low-SNR approximation is accurate. Our numerical results show that significant improvements in the low-SNR achievable rate can be obtained by (jointly) exploiting the mean and covariance of the channel model. Our results also show that these improvements can be extended to moderate-to-high SNRs by signaling along the low-SNR optimal eigenbasis with optimized power allocation.

AB - This paper considers a multiple-input-multiple-output (MIMO) wireless communication scenario in which the channel follows a block-fading model with a general spatially correlated complex Gaussian distribution with nonzero mean. We derive an explicit characterization of the (ergodic) rate-optimal input covariance for systems that operate at low signal-to-noise ratios (SNRs). In particular, we obtain a closed-form expression for the matrix whose principal eigenvector yields the optimal beamforming direction. For the class of nonzero-mean channels with Kronecker-structured covariance, we also derive a threshold on the input signal power below which the low-SNR approximation is accurate. Our numerical results show that significant improvements in the low-SNR achievable rate can be obtained by (jointly) exploiting the mean and covariance of the channel model. Our results also show that these improvements can be extended to moderate-to-high SNRs by signaling along the low-SNR optimal eigenbasis with optimized power allocation.

KW - Correlated channel with nonzero mean

KW - Ergodic capacity

KW - Low signal-to-noise ratio (SNR) signaling

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

KW - Noncentral Wishart distribution

KW - Statistical channel state information (CSI)

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DO - 10.1109/TVT.2009.2015670

M3 - Article

AN - SCOPUS:69549105978

SN - 0018-9545

VL - 58

SP - 3802

EP - 3807

JO - IEEE Transactions on Vehicular Technology

JF - IEEE Transactions on Vehicular Technology

IS - 7

ER -

Rate-optimal MIMO transmission with mean and covariance feedback at low SNRs

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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