Analysis of the Error Signal of the LMS Algorithm.

Hernandez Perdomo, Wilmar and Domínguez Jiménez, María Elena and Sansigre Vidal, Gabriela (2010). Analysis of the Error Signal of the LMS Algorithm.. "IEEE Signal Processing Letters", v. 17 (n. 3); pp. 229-233. ISSN 1070-9908. https://doi.org/10.1109/LSP.2009.2037533.

Description

Title: Analysis of the Error Signal of the LMS Algorithm.
Author/s:
  • Hernandez Perdomo, Wilmar
  • Domínguez Jiménez, María Elena
  • Sansigre Vidal, Gabriela
Item Type: Article
Título de Revista/Publicación: IEEE Signal Processing Letters
Date: March 2010
ISSN: 1070-9908
Volume: 17
Subjects:
Faculty: E.U.I.T. Telecomunicación (UPM)
Department: Ingeniería de Circuitos y Sistemas [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

An analysis of the error signal of the Least-Mean- Square (LMS) algorithm is conducted from the robust control theory viewpoint. The difference equation that relates the input of the LMS algorithm and the error signal is presented. This equation is used to build the matrix that maps the input vector to the error vector. It is shown that has at least one singular value greater than 1. Therefore, the system may amplify noise at high frequencies. Nevertheless, the tap-weight vector may be chosen to prevent that noise amplification and improve the disturbance rejection performance of the LMS algorithm.

More information

Item ID: 5092
DC Identifier: http://oa.upm.es/5092/
OAI Identifier: oai:oa.upm.es:5092
DOI: 10.1109/LSP.2009.2037533
Official URL: http://www.signalprocessingsociety.org/publications/periodicals/letters/
Deposited by: Memoria Investigacion
Deposited on: 23 Nov 2010 12:37
Last Modified: 20 Apr 2016 14:02
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