Capacity of a Gaussian MIMO channel with nonzero mean

1 January 2003

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

Vol. 3, 1767-1771 Vol.3
https://doi.org/10.1109/vetecf.2003.1285329

Abstract

We characterize the input covariance that maximizes the ergodic capacity of a flat-fading, multiple-input-multiple-output (MIMO) channel with additive white Gaussian noise, when the entries of the channel matrix are independent, circularly symmetric, complex Gaussian random variables of nonzero (and possibly different) means and identical variances. We show that the optimal transmit covariance must have the same eigenvectors as the squared mean channel, thereby reducing the computation of the optimal covariance to a simple convex optimization. This generalizes existing results for multiple-input-single-output (MISO) channels and MIMO channels restricted to have a mean of unit rank.

Keywords

This publication has 10 references indexed in Scilit:

Channel Capacity and Capacity-Range of Beamforming in MIMO Wireless Systems Under Correlated Fading With Covariance Feedback
IEEE Transactions on Wireless Communications, 2004
MIMO Capacity Through Correlated Channels in the Presence of Correlated Interferers and Noise: A (Not So) Large N Analysis
IEEE Transactions on Information Theory, 2003
Capacity limits of MIMO channels
IEEE Journal on Selected Areas in Communications, 2003
Optimizing MIMO antenna systems with channel covariance feedback
IEEE Journal on Selected Areas in Communications, 2003
Optimal transmitter eigen-beamforming and space-time block coding based on channel mean feedback
IEEE Transactions on Signal Processing, 2002
Space-time transmit precoding with imperfect feedback
IEEE Transactions on Information Theory, 2001
Capacity of Markov channels with receiver CSI and delayed feedback
IEEE Transactions on Information Theory, 1999
On the capacity of some channels with channel state information
IEEE Transactions on Information Theory, 1999
Efficient use of side information in multiple-antenna data transmission over fading channels
IEEE Journal on Selected Areas in Communications, 1998
On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas
Wireless Personal Communications, 1998