Space-Time Encoded MISO Broadcast Channel With Outdated CSIT: An Error Rate and Diversity Performance Analysis

Bruno Clerckx, David Gesbert

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


Studies of the MISO Broadcast Channel (BC) with delayed Channel State Information at the Transmitter (CSIT) have so far focused on the sum-rate and Degrees-of-Freedom (DoF) region analysis. In this paper, we investigate for the first time, the error rate performance at finite SNR and the diversity-multiplexing tradeoff (DMT) at infinite SNR of a space-time encoded transmission over a two-user MISO BC with delayed CSIT. We consider the so-called MAT protocol obtained by Maddah-Ali and Tse, which was shown to provide 33% DoF enhancement over TDMA. While the asymptotic DMT analysis shows that MAT is always preferable to TDMA, the Pairwise Error Probability analysis at finite SNR shows that MAT is in fact not always a better alternative to TDMA. Benefits can be obtained over TDMA only at a very high rate or once concatenated with a full-rate full-diversity space-time code. The analysis is also extended to spatially correlated channels, and the influence of transmit correlation matrices and user pairing strategies on the performance are discussed. Relying on statistical CSIT, signal constellations are further optimized to improve the error rate performance of MAT and make it insensitive to user orthogonality. Finally, other transmission strategies relying on delayed CSIT are discussed.

Original languageEnglish
Article number7055276
Pages (from-to)1661-1675
Number of pages15
JournalIEEE Transactions on Communications
Issue number5
Publication statusPublished - 2015 May 1

Bibliographical note

Publisher Copyright:
© 1972-2012 IEEE.


  • MISO Broadcast Channel
  • delayed CSIT
  • diversity-multiplexing tradeoff
  • multiuser communications
  • performance analysis
  • space-time coding
  • user pairing

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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