Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
563999 | Signal Processing | 2013 | 9 Pages |
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.
► A direct optimization method is proposed to solve the design of FIR filter with low group delay. ► A sufficient condition is presented to identify the global minimizer of the proposed constrained optimization problem. ► A SDP-based algorithm is proposed to solve the dual problem.