A direct optimization method for low group delay FIR filter design
- Authors: Wu, Changzhi , Gao, David , Lay Teo, Kok
- Date: 2013
- Type: Text , Journal article
- Relation: Signal Processing Vol. 93, no. 7 (2013), p. 1764-1772
- Full Text: false
- Reviewed:
- 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. © 2013 Elsevier B.V.
- Description: 2003011019
On the triality theory for a quartic polynomial optimization problem
- Authors: Gao, David , Wu, Changzhi
- Date: 2012
- Type: Text , Journal article
- Relation: Journal of Industrial and Management Optimization Vol. 8, no. 1 (2012), p. 229-242
- Full Text: false
- Reviewed:
- Description: This paper presents a detailed proof of the triality theorem for a class of fourth-order polynomial optimization problems. The method is based on linear algebra but it solves an open problem on the double-min duality. Results show that the triality theory holds strongly in the tri-duality form for our problem if the primal problem and its canonical dual have the same dimension; otherwise, both the canonical min-max duality and the double-max duality still hold strongly, but the double-min duality holds weakly in a symmetrical form. Some numerical examples are presented to illustrate that this theory can be used to identify not only the global minimum, but also the local minimum and local maximum.