MIMO Interference Alignment Over Correlated Channels with Imperfect CSI

Details MIMO Interference Alignment Over Correlated Channels with Imperfect CSI MIMO Interference Alignment Over Correlated Channels with Imperfect CSI

2010-10-13

arxiv.org/abs/1010.2741v1

Computer Science

Information Theory

21 pages, 7 figures, submitted to IEEE Transactions on Signal Processing

Scientific paper

10.1109/TSP.2011.2124458

Interference alignment (IA), given uncorrelated channel components and perfect channel state information, obtains the maximum degrees of freedom in an interference channel. Little is known, however, about how the sum rate of IA behaves at finite transmit power, with imperfect channel state information, or antenna correlation. This paper provides an approximate closed-form signal-to-interference-plus-noise-ratio (SINR) expression for IA over multiple-input-multiple-output (MIMO) channels with imperfect channel state information and transmit antenna correlation. Assuming linear processing at the transmitters and zero-forcing receivers, random matrix theory tools are utilized to derive an approximation for the post-processing SINR distribution of each stream for each user. Perfect channel knowledge and i.i.d. channel coefficients constitute special cases. This SINR distribution not only allows easy calculation of useful performance metrics like sum rate and symbol error rate, but also permits a realistic comparison of IA with other transmission techniques. More specifically, IA is compared with spatial multiplexing and beamforming and it is shown that IA may not be optimal for some performance criteria.

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