A new general expression for 2-channel FIR paraunitary filterbanks

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...

Full description

Saved in:
Bibliographic Details
Published in:Signal processing 2008-07, Vol.88 (7), p.1725-1732
Main Author: DOMINGUEZ JIMENEZ, M. Elena
Format: Article
Language:English
Subjects:
Applied sciences
Bézout equations
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Filter design
FIR filters
Information, signal and communications theory
Paraunitary 2-channel filterbanks
Signal and communications theory
Signal, noise
Telecommunications and information theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0165-1684
1872-7557
DOI:10.1016/j.sigpro.2008.01.009