Reduced rank signaling in spatially correlated MIMO channels

Vasanthan Raghavan, Venugopal Varadachari Veeravalli, Robert W. Heath

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The optimal input covariance matrix Q that achieves the ergodic capacity under the coherent assumption in a point-to-point, multi-antenna setting is a function of the spatial correlation and the transmit SNR. While the eigenvectors of Q can be characterized in closed-form for many realistic correlation models, the eigenvalues have to be determined numerically. However, it is well-known that the rank of Q is a non-decreasing function of SNR. Motivated by this fact, in this work, we study communication with a low-complexity family of input covariance matrices that are characterized by their rank, assuming uniform power allocation over the smaller-dimensional eigen-space. We quantify the impact of spatial correlation on the M-th transition-SNR which is defined as the smallest SNR at which rank-M transmission becomes optimal.

Original languageEnglish (US)
Title of host publicationProceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007
Pages1081-1085
Number of pages5
DOIs
StatePublished - Dec 1 2007
Event2007 IEEE International Symposium on Information Theory, ISIT 2007 - Nice, France
Duration: Jun 24 2007Jun 29 2007

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8101

Other

Other2007 IEEE International Symposium on Information Theory, ISIT 2007
Country/TerritoryFrance
CityNice
Period6/24/076/29/07

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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