Asymptotic performance of mimo wireless channels with limited feedback
- 8 July 2004
- proceedings article
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 1, 141-146
- https://doi.org/10.1109/milcom.2003.1290092
Abstract
We consider a single-user, point-to-point communication system with M transmit and N receive antennas with independent flat Rayleigh fading between antenna pairs. The mutual information of the multi-input/multi-output (MIMO) channel is maximized when the transmitted symbol vector is a Gaussian random vector with covariance matrix Q. The optimal Q depends on how much channel state information is available at the transmitter. Namely, in the absence of any channel state information, the optimal Q is full-rank and isotropic, whereas with perfect channel knowledge, the optimal Q has columns which are the eigenvectors of the channel, and has rank at most min{M, N}. We assume that the receiver can feed back B bits to the transmitter (per codeword). The feedback bits are used to choose the columns of Q from a random set of i.i.d. vectors. We compute the mutual information as a function of both B and the rank of Q. Our results are asymptotic in the number of antennas, and show how much feedback is needed to achieve a rate, which is close to the capacity with perfect channel knowledge at the transmitter.Keywords
This publication has 11 references indexed in Scilit:
- CLT FOR LINEAR SPECTRAL STATISTICS OF LARGE-DIMENSIONAL SAMPLE COVARIANCE MATRICESPublished by World Scientific Pub Co Pte Ltd ,2008
- Optimal partial feedback design for MIMO block fading channels with causal noiseless feedbackPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2004
- Signature optimization for DS-CDMA with limited feedbackPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Interference avoidance for DS-CDMA with limited feedbackPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Capacity scaling in MIMO wireless systems under correlated fadingIEEE Transactions on Information Theory, 2002
- Information capacity of a random signature multiple-input multiple-output channelIEEE Transactions on Communications, 2000
- Capacity of Multi‐antenna Gaussian ChannelsEuropean Transactions on Telecommunications, 1999
- Efficient use of side information in multiple-antenna data transmission over fading channelsIEEE Journal on Selected Areas in Communications, 1998
- On Limits of Wireless Communications in a Fading Environment when Using Multiple AntennasWireless Personal Communications, 1998
- Some limit theorems for the eigenvalues of a sample covariance matrixJournal of Multivariate Analysis, 1982