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

Mike J. Grimble, Shamsher Ali Naz

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
155 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


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