MIMO channels in the Low-SNR regime: Communication rate, error exponent, and signal peakiness

Xinzhou Wu, R. Srikant

Research output: Contribution to journalArticle

Abstract

We consider multiple-input multiple-output (MIMO) fading channels and characterize the reliability function in the low signal-to-noise (SNR) regime as a function of the number of transmit and receive antennas. For the case when the fading matrix H has independent entries, we show that the number of transmit antennas plays a key role in reducing the peakiness in the input signal required to achieve the optimal error exponent for a given communication rate. Further, by considering a correlated channel model, we show that the maximum performance gain (in terms of the error exponent and communication rate) is achieved when the entries of the channel fading matrix are fully correlated. The results we presented in this work in the low-SNR regime can also be applied to the infinite bandwidth regime.

Original languageEnglish (US)
Pages (from-to)1290-1309
Number of pages20
JournalIEEE Transactions on Information Theory
Volume53
Issue number4
DOIs
StatePublished - Apr 1 2007

Keywords

  • Error exponent
  • Low signal-to-noise ratio (SNR)
  • Multiple-input multiple-output (MIMO)
  • Noncoherent
  • Peaky signaling
  • Wideband

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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