Home > Research > Publications & Outputs > Effect of channel uncertainty on the mutual inf...
View graph of relations

Effect of channel uncertainty on the mutual information of MIMO fading channels

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

Standard

Effect of channel uncertainty on the mutual information of MIMO fading channels. / Musavian, Leila; Nakhai, Mohammad Reza; Dohler, Mischa et al.
In: IEEE Transactions on Vehicular Technology, Vol. 56, No. 5, 09.2007, p. 2798-2806.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Musavian, L, Nakhai, MR, Dohler, M & Aghvami, AH 2007, 'Effect of channel uncertainty on the mutual information of MIMO fading channels', IEEE Transactions on Vehicular Technology, vol. 56, no. 5, pp. 2798-2806. https://doi.org/10.1109/TVT.2007.898412

APA

Musavian, L., Nakhai, M. R., Dohler, M., & Aghvami, A. H. (2007). Effect of channel uncertainty on the mutual information of MIMO fading channels. IEEE Transactions on Vehicular Technology, 56(5), 2798-2806. https://doi.org/10.1109/TVT.2007.898412

Vancouver

Musavian L, Nakhai MR, Dohler M, Aghvami AH. Effect of channel uncertainty on the mutual information of MIMO fading channels. IEEE Transactions on Vehicular Technology. 2007 Sept;56(5):2798-2806. doi: 10.1109/TVT.2007.898412

Author

Musavian, Leila ; Nakhai, Mohammad Reza ; Dohler, Mischa et al. / Effect of channel uncertainty on the mutual information of MIMO fading channels. In: IEEE Transactions on Vehicular Technology. 2007 ; Vol. 56, No. 5. pp. 2798-2806.

Bibtex

@article{6d57fe9ada3e4b84bca60c3d00eb25fa,
title = "Effect of channel uncertainty on the mutual information of MIMO fading channels",
abstract = "In this paper, we study the effect of channel estimation error at the receiver on the mutual information of a multiple-input-multiple-output (MIMO) channel obeying correlated Rayleigh fading. We assume that perfect knowledge of the channel correlation is available at the receiver and find upper and lower bounds on the mutual information for Gaussian input signals. We prove that for a generic input covariance matrix, the gap between these two bounds at high transmit powers does not exceed a certain value, which depends on the number of nonzero eigenvalues of the receive correlation matrix. We also show that in a system with uncorrelated transmit antennas and correlated receive antennas and with uniform power distribution over the transmit antennas, these bounds are asymptotically tight for a large number of transmit antennas. We show that when the correlation information is available at the transmitter, the transmitting strategy that maximizes the mutual information lower bound is to transmit toward the directions of the eigenvectors of the transmit correlation matrix. We further derive upper and lower bounds on the mutual information of a MIMO multiple-access channel with imperfect channel estimation at the receiver. We also prove that when the input power at each user is uniformly distributed over its transmit antennas, the bounds on the mutual information are asymptotically tight for Gaussian input signals, and this tightness increases when the number of users increases. Numerical simulations are conducted to corroborate theoretical results.",
keywords = "Channel estimation, Covariance matrix, Eigenvalues and eigenfunctions, Fading, MIMO, Mutual information, Rayleigh channels, Receiving antennas, Transmitting antennas, Uncertainty",
author = "Leila Musavian and Nakhai, {Mohammad Reza} and Mischa Dohler and Aghvami, {A. Hamid}",
year = "2007",
month = sep,
doi = "10.1109/TVT.2007.898412",
language = "English",
volume = "56",
pages = "2798--2806",
journal = "IEEE Transactions on Vehicular Technology",
issn = "0018-9545",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "5",

}

RIS

TY - JOUR

T1 - Effect of channel uncertainty on the mutual information of MIMO fading channels

AU - Musavian, Leila

AU - Nakhai, Mohammad Reza

AU - Dohler, Mischa

AU - Aghvami, A. Hamid

PY - 2007/9

Y1 - 2007/9

N2 - In this paper, we study the effect of channel estimation error at the receiver on the mutual information of a multiple-input-multiple-output (MIMO) channel obeying correlated Rayleigh fading. We assume that perfect knowledge of the channel correlation is available at the receiver and find upper and lower bounds on the mutual information for Gaussian input signals. We prove that for a generic input covariance matrix, the gap between these two bounds at high transmit powers does not exceed a certain value, which depends on the number of nonzero eigenvalues of the receive correlation matrix. We also show that in a system with uncorrelated transmit antennas and correlated receive antennas and with uniform power distribution over the transmit antennas, these bounds are asymptotically tight for a large number of transmit antennas. We show that when the correlation information is available at the transmitter, the transmitting strategy that maximizes the mutual information lower bound is to transmit toward the directions of the eigenvectors of the transmit correlation matrix. We further derive upper and lower bounds on the mutual information of a MIMO multiple-access channel with imperfect channel estimation at the receiver. We also prove that when the input power at each user is uniformly distributed over its transmit antennas, the bounds on the mutual information are asymptotically tight for Gaussian input signals, and this tightness increases when the number of users increases. Numerical simulations are conducted to corroborate theoretical results.

AB - In this paper, we study the effect of channel estimation error at the receiver on the mutual information of a multiple-input-multiple-output (MIMO) channel obeying correlated Rayleigh fading. We assume that perfect knowledge of the channel correlation is available at the receiver and find upper and lower bounds on the mutual information for Gaussian input signals. We prove that for a generic input covariance matrix, the gap between these two bounds at high transmit powers does not exceed a certain value, which depends on the number of nonzero eigenvalues of the receive correlation matrix. We also show that in a system with uncorrelated transmit antennas and correlated receive antennas and with uniform power distribution over the transmit antennas, these bounds are asymptotically tight for a large number of transmit antennas. We show that when the correlation information is available at the transmitter, the transmitting strategy that maximizes the mutual information lower bound is to transmit toward the directions of the eigenvectors of the transmit correlation matrix. We further derive upper and lower bounds on the mutual information of a MIMO multiple-access channel with imperfect channel estimation at the receiver. We also prove that when the input power at each user is uniformly distributed over its transmit antennas, the bounds on the mutual information are asymptotically tight for Gaussian input signals, and this tightness increases when the number of users increases. Numerical simulations are conducted to corroborate theoretical results.

KW - Channel estimation

KW - Covariance matrix

KW - Eigenvalues and eigenfunctions

KW - Fading

KW - MIMO

KW - Mutual information

KW - Rayleigh channels

KW - Receiving antennas

KW - Transmitting antennas

KW - Uncertainty

U2 - 10.1109/TVT.2007.898412

DO - 10.1109/TVT.2007.898412

M3 - Journal article

VL - 56

SP - 2798

EP - 2806

JO - IEEE Transactions on Vehicular Technology

JF - IEEE Transactions on Vehicular Technology

SN - 0018-9545

IS - 5

ER -