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  • Research Article
  • Open Access

Noniterative Design of 2-Channel FIR Orthogonal Filters

EURASIP Journal on Advances in Signal Processing20062007:045816

  • Received: 1 January 2006
  • Accepted: 26 August 2006
  • Published:


This paper addresses the problem of obtaining an explicit expression of all real FIR paraunitary filters. In this work, we present a general parameterization of 2-channel FIR orthogonal filters. Unlike other approaches which make use of a lattice structure, we show that our technique designs any orthogonal filter directly, with no need of iteration procedures. Moreover, in order to design an -tap 2-channel paraunitary filterbank, it suffices to choose independent parameters, and introduce them in a simple expression which provides the filter coefficients directly. Some examples illustrate how this new approach can be used for designing filters with certain desired properties. Further conditions can be eventually imposed on the parameters so as to design filters for specific applications.


  • Information Technology
  • Explicit Expression
  • Quantum Information
  • Lattice Structure
  • Independent Parameter


Authors’ Affiliations

TACA Research Group, ETSI Industriales, Universidad Politécnica de Madrid, Madrid, 28006, Spain


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© M. Elena Domínguez Jiménez. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.