Design of Exactly Linear Phase [Formula Omitted]-Regular IIR Half-Band Filter

This paper proposes a novel method to design exactly linear phase infinite impulse response half-band filters with arbitrary regularity. Broadly speaking, the design problem is formulated as a semi-infinite program, which is then turned into a semidefinite program of minimal order via a new linear m...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2008-12, Vol.55 (12), p.1264
Main Authors: Hoang, H.G, Tuan, Hoang Duong, Nguyen, T.Q, Kha, H.H
Format: Article
Language:English
Subjects:
Circuits
Design engineering
Design parameters
Hulls
Hulls (structures)
Impulse response
Linear phase
Mathematical models
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper proposes a novel method to design exactly linear phase infinite impulse response half-band filters with arbitrary regularity. Broadly speaking, the design problem is formulated as a semi-infinite program, which is then turned into a semidefinite program of minimal order via a new linear matrix inequality characterization of convex hulls of trigonometric polynomials. In contrast to maximally flat approach, the proposed method allows direct control of various design parameters, which in turn enables the synthesis of filters with better transition response. The viability of the proposed method is demonstrated through several numerical examples.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2008.2008071