Optimal transmit strategies for MIMO systems with partial channel state information

Holger Boche; Eduard A. Jorswieck

doi:10.1117/12.455453

Optimal transmit strategies for MIMO systems with partial channel state information

Holger Boche, Eduard A. Jorswieck

Heinrich Hertz Institute

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

We study the optimal transmission strategy of a single-user multiple-input multiple-output (MIMO) communication system with covariance feedback. We consider the situation with correlated receive and correlated transmit antennas in Rayleigh flat fading. Furthermore, we assume that the receiver has perfect channel state information (CSI) while the transmitter knows only the transmit correlation matrix and the receive correlation matrix. We show that transmitting in direction of the eigenvectors of the transmit correlation matrix is the optimal transmission strategy. In addition to this, the optimal power allocation is studied and a necessary and sufficient condition for optimality of beamforming is derived. The impact of the receive correlation on the achievable capacity and on the capacity-range of beamforming is analyzed. All theoretical results are illustrated by numerical simulations.

Original language	English
Pages (from-to)	73-84
Number of pages	12
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	4869
DOIs	https://doi.org/10.1117/12.455453
State	Published - 2002
Externally published	Yes
Event	Emerging Technologies for Future Generation Wireless Communications - Boston, MA, United States Duration: 29 Jul 2002 → 30 Jul 2002

Keywords

Imperfect channel state information
Information theory
MIMO ergodic capacity

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10.1117/12.455453

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title = "Optimal transmit strategies for MIMO systems with partial channel state information",

abstract = "We study the optimal transmission strategy of a single-user multiple-input multiple-output (MIMO) communication system with covariance feedback. We consider the situation with correlated receive and correlated transmit antennas in Rayleigh flat fading. Furthermore, we assume that the receiver has perfect channel state information (CSI) while the transmitter knows only the transmit correlation matrix and the receive correlation matrix. We show that transmitting in direction of the eigenvectors of the transmit correlation matrix is the optimal transmission strategy. In addition to this, the optimal power allocation is studied and a necessary and sufficient condition for optimality of beamforming is derived. The impact of the receive correlation on the achievable capacity and on the capacity-range of beamforming is analyzed. All theoretical results are illustrated by numerical simulations.",

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T1 - Optimal transmit strategies for MIMO systems with partial channel state information

AU - Boche, Holger

AU - Jorswieck, Eduard A.

PY - 2002

Y1 - 2002

N2 - We study the optimal transmission strategy of a single-user multiple-input multiple-output (MIMO) communication system with covariance feedback. We consider the situation with correlated receive and correlated transmit antennas in Rayleigh flat fading. Furthermore, we assume that the receiver has perfect channel state information (CSI) while the transmitter knows only the transmit correlation matrix and the receive correlation matrix. We show that transmitting in direction of the eigenvectors of the transmit correlation matrix is the optimal transmission strategy. In addition to this, the optimal power allocation is studied and a necessary and sufficient condition for optimality of beamforming is derived. The impact of the receive correlation on the achievable capacity and on the capacity-range of beamforming is analyzed. All theoretical results are illustrated by numerical simulations.

AB - We study the optimal transmission strategy of a single-user multiple-input multiple-output (MIMO) communication system with covariance feedback. We consider the situation with correlated receive and correlated transmit antennas in Rayleigh flat fading. Furthermore, we assume that the receiver has perfect channel state information (CSI) while the transmitter knows only the transmit correlation matrix and the receive correlation matrix. We show that transmitting in direction of the eigenvectors of the transmit correlation matrix is the optimal transmission strategy. In addition to this, the optimal power allocation is studied and a necessary and sufficient condition for optimality of beamforming is derived. The impact of the receive correlation on the achievable capacity and on the capacity-range of beamforming is analyzed. All theoretical results are illustrated by numerical simulations.

KW - Imperfect channel state information

KW - Information theory

KW - MIMO ergodic capacity

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DO - 10.1117/12.455453

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AN - SCOPUS:0036986753

SN - 0277-786X

VL - 4869

SP - 73

EP - 84

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - Emerging Technologies for Future Generation Wireless Communications

Y2 - 29 July 2002 through 30 July 2002

ER -

Optimal transmit strategies for MIMO systems with partial channel state information

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Keywords

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