Statistical mechanics of multi-antenna communications: Replicas and correlations

Aris L. Moustakas, Steven H. Simon, Anirvan M. Sengupta

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations


The use of multi-antenna arrays has been predicted to provide substantial throughput gains for wireless communication systems. However, these predictions have to be assessed in realistic situations, such as correlated channels and in the presence of interference. In this review, we show results obtained using methods borrowed from statistical physics of random media for the average and the variance of the distribution of the mutual information of multi-antenna systems with arbitrary correlations and interferers. Even though the methods are asymptotic in the sense they are valid in the limit of large antenna numbers, the results are accurate even for small arrays. We also optimize over the input signal covariance with channel covariance feedback and calculate closed-loop capacities. This method provides a simple tool to analyze the statistics of throughput for arrays of any size.

Original languageEnglish (US)
Pages (from-to)2719-2732
Number of pages14
JournalActa Physica Polonica B
Issue number9
StatePublished - Sep 2005
EventConference on Applications of Random Matrices to Economy and Other Complex Systems - Cracow, Poland
Duration: May 25 2005May 28 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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