Efficient adaptive complex filtering algorithm with application to channel equalisation

R Perry, David Bull, AR Nix

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)


The paper describes a means of efficiently implementing an adaptive complex transversal filter. Three real-coefficient filter sections are used to realise the transversal filter section of a complex equaliser, thus using one less filter than a conventional realisation. An adaptive algorithm is developed, in a manner similar to the least mean square algorithm, which allows the three filters to be trained independently and in parallel using real valued arithmetic. In this way, the throughput can be maintained, whilst reducing the number of multipliers in both the filter and coefficient update sections by 25%. Using independence theory, it is demonstrated that the three filters converge to a solution consistent with the optimal Wiener-Hopf solution. The convergence speed is characterised in terms of the complex input data stream. The transient behaviour of the algorithm is examined using a simulation of a channel equaliser and is supported by analysis
Original languageEnglish
Pages (from-to)57 - 64
JournalIEE Proceedings - Vision, Image and Signal Processing
Issue number2
Publication statusPublished - Apr 1999

Bibliographical note

Sponsorship: The authors wish to thank Hewlett Packard Laboratories and the Engineering and Physical Sciences Research Council for their support of this work. Support from the
other members at the Centre for Communications at the University of Bristol is also acknowledged

Publisher: Institution of Electrical Engineers (IEE)


  • adaptive filters
  • convergence of numerical
  • adaptive signal processing
  • adaptive equalisers


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