Performance bounds for MIMO Bit-Interleaved Coded Modulation with Zero-Forcing receivers

Matthew R. McKay*, Iain B. Collings

*Corresponding author for this work

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

1 Citation (Scopus)


Tight analytical bounds on the coded bit error rate are derived for a MIMO Bit-Interleaved Coded Modulation (BICM) system with a Zero Forcing receiver. We show that a minimal expurgated bound exists when using Gray-labelled constellations. We also show that with Nt transmit and Nr receive antennas, the diversity order is Nr - Nt + 1 multiplied by the free distance of the code. For the Maximum Likelihood receiver, we demonstrate that expurgation does not lead to a tight bound. The analysis provides insight into the relative performance of the MIMO-BICM ZF and ML receivers.

Original languageEnglish
Title of host publicationGLOBECOM'04 - IEEE Global Telecommunications Conference
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages5
ISBN (Print)9780780387942, 0780387945
Publication statusPublished - 2004
Externally publishedYes
EventGLOBECOM'04 - IEEE Global Telecommunications Conference - Dallas, TX, United States
Duration: 29 Nov 20043 Dec 2004


OtherGLOBECOM'04 - IEEE Global Telecommunications Conference
Country/TerritoryUnited States
CityDallas, TX


  • BICM
  • Fast fading
  • MIMO
  • ML
  • ZF


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