Non-linear minimum variance estimation for discrete-time multi-channel systems

Mike J. Grimble, Shamsher Ali Naz

Research output: Contribution to journalArticle

6 Citations (Scopus)
146 Downloads (Pure)


A nonlinear operator approach to estimation in discrete-time systems is described. It involves inferential estimation of a signal which enters a communications channel involving both nonlinearities and transport delays. The measurements are assumed to be corrupted by a colored noise signal which is correlated with the signal to be estimated. The system model may also include a communications channel involving either static or dynamic nonlinearities. The signal channel is represented in a very general nonlinear operator form. The algorithm is relatively simple to derive and to implement.
Original languageEnglish
Pages (from-to)2437-2444
Number of pages7
JournalIEEE Transactions on Signal Processing
Issue number7
Publication statusPublished - Jul 2009


  • estimation
  • filtering
  • minimum-variance
  • nonlinear
  • optimal estimation
  • optimization
  • quadratic cost

Fingerprint Dive into the research topics of 'Non-linear minimum variance estimation for discrete-time multi-channel systems'. Together they form a unique fingerprint.

  • Projects

  • Impacts

    Practical Nonlinear Controllers for Industrial Applications

    Michael Grimble (Participant), M Katebi (Participant)

    Impact: Impact - for External PortalEconomic and commerce, Professional practice, training and standards, Environment and sustainability - natural world and built environment

    Cite this