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A direct optimization method for low group delay FIR filter design

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Open access
Authors
Wu, Changzhi
Gao, David
Teo, Kok Lay
Date
2013
Type
Journal Article

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Wu, Changzhi and Gao, David and Teo, Kok Lay. 2013. A direct optimization method for low group delay FIR filter design. Signal Processing. 93 (7): pp. 1764-1772.
Source Title
Signal Processing
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School
of Technlogy
Remarks

NOTICE: this is the author’s version of a work that was accepted for publication in Signal Processing. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Signal Processing, Vol. 93, No. 7 (2013). DOI: 10.1016/j.sigpro.2013.01.015

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Abstract

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.