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

120 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

Bibliographical note

Funding Information:
Manuscript received March 12, 2001; revised October 23, 2002. This work was supported in part by the National Science Foundation under Grants CCR-9732376, ECS-9820765, and CCR-0208573. The work of T. Y. Al-Naffouri was also supported in part by a fellowship from King Fahd University of Petroleum and Minerals, Dharan, Saudi Arabia. The associate editor coordinating the review of this paper and approving it for publication was Dr. Dennis R. Morgan.


  • 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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