Performance of reduced-rank equalization

Yakun Sun*, Michael L. Honig

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We evaluate the performance of reduced-rank equalizers for both single-input single-output (SISO) and multiple-input multiple-output (MIMO) frequency-selective channels. Each equalizer filter is constrained to lie in a Krylov subspace, and can be implemented as a reduced-rank multistage Wiener filter (MSWF). Both reduced-rank linear and decision-feedback equalizers (DFEs) are considered. Our results are asymptotic as the filter length goes to infinity. For SISO channels, the output mean-squared error (MSE) is expressed in terms of the moments of the channel spectrum. For MIMO channels, both successive and parallel interference cancellation are considered. The asymptotic performance in that case requires the computation of moments, which depend on shifted versions of the channel impulse response for different users. Those are also expressed in terms of the MIMO channel frequency response. Numerical results are presented, which show that near full-rank performance can be achieved with relatively low-rank equalizers.

Original languageEnglish (US)
Pages (from-to)4548-4562
Number of pages15
JournalIEEE Transactions on Information Theory
Issue number10
StatePublished - Oct 1 2006


  • Asymptotic analysis
  • Decision feedback
  • Equalization
  • Frequency-selective channels
  • Multiple-input multiple output (MIMO) channels
  • Reduced rank

ASJC Scopus subject areas

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

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