On a Nonlinear Feedback Filtering System

Abraham H. Haddad*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


A nonlinear filtering scheme with noiseless feedback is presented, based on a consideration of the minimum-me an-squared error filtering of independent signal samples corrupted by additive noise. The explicit solution for the general case is very complex. However, if the signal-to-noise ratio is assumed to be large and the nonlinear estimating filter has zero memory, the problem may be simplified by reducing it to the zero-memory prefiltering problem combined with predictive feedback. The improvement over the linear case without feedback is shown to be the product of the improvements due to the zero-memory non-linearities and the feedback. An example is considered to illustrate the improvements in the error.

Original languageEnglish (US)
Pages (from-to)532-535
Number of pages4
JournalIEEE Transactions on Information Theory
Issue number4
StatePublished - 1968

ASJC Scopus subject areas

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


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