Capacity and performance of MIMO-BICM with zero-forcing receivers

Matthew R. McKay*, Iain B. Collings

*Corresponding author for this work

Research output: Contribution to journalArticle

80 Citations (Scopus)


This paper considers multiple-input multiple-output bit-interleaved coded modulation (MIMO-BICM) with linear zero-forcing (ZF) receivers. We derive the link-level capacity (LLC) under ideal fast-fading conditions, and show that it approaches the maximum-likelihood (ML) LLC as the number of receive antennas approach infinity. We also derive tight analytical bounds on the coded bit-error rate, and prove that with Nt transmit and Nr receive antennas, the diversity order is Nr - Nt + 1 multiplied by the free Hamming distance of the convolutional code. For the case of a ML receiver, we show that a tight bound is not possible, in general. Our analysis provides insights to explain the relative performance of the ZF and ML receivers. Finally, we validate the analytical results and assess the performance in a practical environment with orthogonal frequency-division multiplexing and channel estimation.

Original languageEnglish
Pages (from-to)74-83
Number of pages10
JournalIEEE Transactions on Communications
Issue number1
Publication statusPublished - Jan 2005
Externally publishedYes


  • Bit-interleaved coded modulation (BICM)
  • Maximum-likelihood (ML)
  • Multiple-input multiple-output (MIMO)
  • Orthogonal frequency-division multiplexing (OFDM)
  • Zero-forcing (ZF)

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