A new general expression for 2-channel FIR paraunitary filterbanks

Domínguez Jiménez, María Elena (2008). A new general expression for 2-channel FIR paraunitary filterbanks. "Signal Processing", v. 88 (n. 7); pp. 1725-1732. ISSN 0165-1684. https://doi.org/10.1016/j.sigpro.2008.01.009.

Description

Title: A new general expression for 2-channel FIR paraunitary filterbanks
Author/s:
  • Domínguez Jiménez, María Elena
Item Type: Article
Título de Revista/Publicación: Signal Processing
Date: July 2008
ISSN: 0165-1684
Volume: 88
Subjects:
Freetext Keywords: FIR filters; paraunitary 2-channel filterbanks; filter design; Bézout equations
Faculty: E.T.S.I. Industriales (UPM)
Department: Matemática Aplicada a la Ingeniería Industrial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

This paper provides a new explicit expression for all real FIR paraunitary filters. From this we derive a new procedure for the design of the L components of any 2-channel FIR orthogonal L-tap filter. The input of this algorithm is any set of L/2 free parameters. Moreover, our procedure provides a parameterization of all orthogonal filters directly, with no need for iterations. For the special case of low-pass paraunitary filters, we obtain a fast new design algorithm. Simplified expressions for the frequency response of paraunitary filters are also provided. In addition to these improvements, our results also yield exact solutions of a particular set of Bézout polynomial equations.

More information

Item ID: 2679
DC Identifier: http://oa.upm.es/2679/
OAI Identifier: oai:oa.upm.es:2679
DOI: 10.1016/j.sigpro.2008.01.009
Official URL: http://www.elsevier.com/wps/find/journaldescription.cws_home/505662/description#description
Deposited by: Memoria Investigacion
Deposited on: 25 Mar 2010 10:16
Last Modified: 20 Apr 2016 12:22
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