Characterization of the Optimum Transmitter Correlation Matrix for MIMO with Antenna Subset Selection

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Abstract

In this letter, we give a simple and complete characterization of the optimum transmitter correlation matrix for multiple-input-multiple-output (MIMO) systems, when antenna subset selection is used. It is assumed that the receiver feeds back to the transmitter only the selected set of antennas without providing any kind of rank ordering of the selected antennas. It turns out that the optimal correlation matrix in this case must be a convex combination of an identity matrix, and a matrix whose elements are all ones. This reduces the problem of finding the actual optimum to a one-dimensional search in any given scenario.

Original languageEnglish (US)
Pages (from-to)1779-1782
Number of pages4
JournalIEEE Transactions on Communications
Volume51
Issue number11
DOIs
StatePublished - Nov 2003

Keywords

  • Antenna
  • Capacity
  • Multiple-input-multiple-output (MIMO)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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