Noniterative Design of 2-Channel FIR Orthogonal Filters. (5th November 2006)

• Record Type: Journal Article
• Authors: Jiménez Jiménez, M. Elena Domínguez M. Elena Domínguez
• Other Names: Schuller Schuller Gerald Gerald Academic Editor.
• Is Part Of: EURASIP journal on advances in signal processing. Volume 2007(2007)
• Publication Date: 2006-11-05
• Subjects: Signal processing -- Periodicals; Traitement du signal; Signal processing; Periodicals; 621.3822
• DOI: 10.1155/2007/45816
• Languages: English
• ISSNs: 1687-6172

Abstract

Abstract : 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 anL -tap 2-channel paraunitary filterbank, it suffices to chooseL / 2 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.