On Optimal and Suboptimal Nonlinear Filters for Discrete Inputs

Abraham H. Haddad, John B. Thomas

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

The determination of minimum-mean-squared-error (MMSE) nonlinear filters usually involves formidable mathematical difficulties. These difficulties may be bypassed by restricting attention to special classes of filters or special processes. One such class is Zadeh's class nl, which for the general case also involves mathematical difficulties. In this work two realizations of class nl are used for the MMSE reconstruction and filtering of a sampled signal. The cases where the filter reduces to a zero-memory nonlinearity followed by a linear filter are discussed. A suboptimum scheme composed of a zero-memory nonlinearity followed by a linear filter is considered for the reconstruction and filtering of a subclass of the separable process.

Original languageEnglish (US)
Pages (from-to)16-21
Number of pages6
JournalIEEE Transactions on Information Theory
Volume14
Issue number1
DOIs
StatePublished - Jan 1968

ASJC Scopus subject areas

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

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