List of Titles

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.

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

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