On the role of the input power constraint in the beamforming optimality range in TIMO channels

Saad Al-Ahmadi*, Halim Yanikomeroglu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, the effect of the input power constraint on the beamforming optimality range in Gaussian two-input multiple-output (TIMO) channels is explored. The obtained results, using standard Lagrangian formulation, determine explicitly the range of the input SNR for which rank-1 signaling (beamforming) is optimal in TIMO channels for both the common power constraint and the individual power constraint cases. Moreover, the obtained results are extended to random TIMO channels, with channel state information at the receiver only, using the Jensen's upper bound on the mutual information.

Original languageEnglish
Title of host publication2009 11th Canadian Workshop on Information Theory, CWIT 2009
Pages59-62
Number of pages4
DOIs
StatePublished - 2009
Externally publishedYes

Publication series

Name2009 11th Canadian Workshop on Information Theory, CWIT 2009

Keywords

  • Beamforming
  • Common power constraint
  • Individual power constraints
  • Input covariance matrix
  • MIMO channels
  • Mutual information

ASJC Scopus subject areas

  • Computer Science Applications
  • Information Systems

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