A direct optimization method for low group delay FIR filter design

This paper studies the design of FIR filter with low group delay, where the desired phase response is not being approximated. It is formulated as a constrained optimization problem, which is then solved globally. Numerical experiments show that our design method can produce a filter with smaller gro...

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Main Authors: Wu, Changzhi, Gao, David, Teo, Kok Lay
Format: Journal Article
Published: Elsevier BV 2013
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/30635
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author Wu, Changzhi
Gao, David
Teo, Kok Lay
author_facet Wu, Changzhi
Gao, David
Teo, Kok Lay
author_sort Wu, Changzhi
building Curtin Institutional Repository
collection Online Access
description This paper studies the design of FIR filter with low group delay, where the desired phase response is not being approximated. It is formulated as a constrained optimization problem, which is then solved globally. Numerical experiments show that our design method can produce a filter with smaller group delay than that obtained by the existing convex optimization method used in conjunction with a minimum phase spectral factorization method under the same design criteria. Furthermore, our formulation offers us the flexibility for the trade-off between the group delay and the magnitude response directly. It also allows the feasibility of imposing constraints on the group delay.
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format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T08:19:51Z
publishDate 2013
publisher Elsevier BV
recordtype eprints
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spelling curtin-20.500.11937-306352019-02-19T04:28:13Z A direct optimization method for low group delay FIR filter design Wu, Changzhi Gao, David Teo, Kok Lay Duality Low group delay Semi-definite programming This paper studies the design of FIR filter with low group delay, where the desired phase response is not being approximated. It is formulated as a constrained optimization problem, which is then solved globally. Numerical experiments show that our design method can produce a filter with smaller group delay than that obtained by the existing convex optimization method used in conjunction with a minimum phase spectral factorization method under the same design criteria. Furthermore, our formulation offers us the flexibility for the trade-off between the group delay and the magnitude response directly. It also allows the feasibility of imposing constraints on the group delay. 2013 Journal Article http://hdl.handle.net/20.500.11937/30635 10.1016/j.sigpro.2013.01.015 Elsevier BV fulltext
spellingShingle Duality
Low group delay
Semi-definite programming
Wu, Changzhi
Gao, David
Teo, Kok Lay
A direct optimization method for low group delay FIR filter design
title A direct optimization method for low group delay FIR filter design
title_full A direct optimization method for low group delay FIR filter design
title_fullStr A direct optimization method for low group delay FIR filter design
title_full_unstemmed A direct optimization method for low group delay FIR filter design
title_short A direct optimization method for low group delay FIR filter design
title_sort direct optimization method for low group delay fir filter design
topic Duality
Low group delay
Semi-definite programming
url http://hdl.handle.net/20.500.11937/30635