Sample convergence of the normed LMS algorithm with feedback delay

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

Abstract

When a delay of even one iteration is introduced in the coefficient update loop, the projection properties of the NLMS (normed least mean square) algorithm are lost, allowing the error vector to increase as well as decrease in any given update. This makes the analysis of the algorithm with delay much more difficult. An exact analysis of the delayed update algorithm, on a sample function basis, is developed. It is shown that for any delay, the gain parameter, can be chosen sufficiently small to guarantee exponential convergence, assuming only that the input satisfies the standard mixing condition.

Original languageEnglish (US)
Title of host publicationProceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
PublisherPubl by IEEE
Pages2129-2132
Number of pages4
ISBN (Print)078030033
StatePublished - Dec 1 1991
EventProceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91 - Toronto, Ont, Can
Duration: May 14 1991May 17 1991

Publication series

NameProceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
Volume3
ISSN (Print)0736-7791

Other

OtherProceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91
CityToronto, Ont, Can
Period5/14/915/17/91

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ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Voltz, P. J. (1991). Sample convergence of the normed LMS algorithm with feedback delay. In Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing (pp. 2129-2132). (Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing; Vol. 3). Publ by IEEE.