Almost sure convergence of the normed LMS algorithm with error feedback delay

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In some applications of LMS type adaptive algorithms, it is necessary to implement a variant of the algorithm with feedback delay in the weight update calculation. In this paper we consider the normed version of such an algorithm and show that the algorithm converges exponentially if the update gain parameter, μm, is sufficiently small. The result is first proved for inputs which satisfy a standard deterministic mixing condition, and then the development is extended to the case when the input may not be strictly mixing, but is instead a stationary ergodic vector sequence with positive definite autocorrelation.

Original languageEnglish (US)
Title of host publicationConference Record of the Asilomar Conference on Signals, Systems & Computers
EditorsAvtar Singh
PublisherPubl by IEEE
Pages179-183
Number of pages5
ISBN (Print)0818641207
StatePublished - 1993
EventProceedings of the 27th Asilomar Conference on Signals, Systems & Computers - Pacific Grove, CA, USA
Duration: Nov 1 1993Nov 3 1993

Publication series

NameConference Record of the Asilomar Conference on Signals, Systems & Computers
Volume1
ISSN (Print)1058-6393

Other

OtherProceedings of the 27th Asilomar Conference on Signals, Systems & Computers
CityPacific Grove, CA, USA
Period11/1/9311/3/93

ASJC Scopus subject areas

  • Signal Processing
  • Computer Networks and Communications

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  • Cite this

    Voltz, P. J. (1993). Almost sure convergence of the normed LMS algorithm with error feedback delay. In A. Singh (Ed.), Conference Record of the Asilomar Conference on Signals, Systems & Computers (pp. 179-183). (Conference Record of the Asilomar Conference on Signals, Systems & Computers; Vol. 1). Publ by IEEE.