Wiener and Adaptive Filters

Jacob Benesty, Yiteng Arden Huang, Jingdong Chen

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

11 Scopus citations

Abstract

Wiener filter The Wiener filter, named after its inventor, has been an extremely useful tool since its invention in the early 1930s. This optimal filter is not only popular in different aspects of speech processing but also in many other applications. This chapter presents the most fundamental results of the Wiener theory with an emphasis on the Wiener-Hopf equations, which are not convenient to solve in practice. An alternative approach to solving these equations directly is the use of an adaptive filter, which is why this work also describes the most classical adaptive algorithms that are able to converge, in a reasonable amount of time, to the optimal Wiener filter.

Original languageEnglish
Title of host publicationSpringer Handbooks
PublisherSpringer
Pages103-120
Number of pages18
DOIs
StatePublished - 2008
Externally publishedYes

Publication series

NameSpringer Handbooks
ISSN (Print)2522-8692
ISSN (Electronic)2522-8706

Keywords

  • Adaptive Filter
  • Finite Impulse Response
  • Impulse Response
  • Infinite Impulse Response
  • Mean Square Error

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