A direct optimization method for low group delay FIR filter design

Authors:
Changzhi Wu;David Gao;Kok Lay Teo
Affiliations:
School of Science, Information, Technology and Engineering, University of Ballarat, Australia;School of Science, Information, Technology and Engineering, University of Ballarat, Australia;Department of Mathematics and Statistics, Curtin University, Australia
Venue:
Signal Processing
Year:
2013

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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.