Noniterative Design of 2-Channel FIR Orthogonal Filters

: 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 o...

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Bibliographic Details
Published in:EURASIP journal on advances in signal processing 2006-11, Vol.2007 (1), p.045816-045816
Main Author: Jiménez, M Elena Domínguez
Format: Article
Language:English
Online Access:Get full text
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Summary:: 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.
ISSN:1687-6180
1687-6180
DOI:10.1186/1687-6180-2007-045816