Transient analysis of adaptive filters with error nonlinearities

Tareq Y. Al-Naffouri*, Ali H. Sayed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

119 Scopus citations


This paper develops a unified approach to the transient analysis of adaptive filters with error nonlinearities. In addition to deriving earlier results in a unified manner, the approach also leads to new performance results without restricting the regression data to being Gaussian or white. The framework is based on energy-conservation arguments and avoids the need for explicit recursions for the covariance matrix of the weight-error vector.

Original languageEnglish (US)
Pages (from-to)653-663
Number of pages11
JournalIEEE Transactions on Signal Processing
Issue number3
StatePublished - Mar 2003
Externally publishedYes


  • Adaptive filter
  • Energy-conservation
  • Error nonlinearity
  • Feedback analysis
  • Mean-square-error error
  • Steady-state analysis
  • Transient analysis

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


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