Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/24936
Title: A new hybrid descent method with application to the optimal design of finite precision FIR filters
Authors: Yiu, KFC 
Yan, WY
Teo, KL
Low, SY
Keywords: Finite precision
FIR filter design
Hybrid descent method
Simulating annealing
Issue Date: 2010
Publisher: Taylor & Francis
Source: Optimization methods and software, 2010, v. 25, no. 5, p. 725-735 How to cite?
Journal: Optimization methods and software 
Abstract: In this paper, the problem of the optimal design of discrete coefficient FIR filters is considered. A novel hybrid descent method, consisting of a simulated annealing algorithm and a gradient-based method, is proposed. The simulated annealing algorithm operates on the space of orthogonal matrices and is used to locate descent points for previously converged local minima. The gradient-based method is derived from converting the discrete problem to a continuous problem via the Stiefel manifold, where convergence can be guaranteed. To demonstrate the effectiveness of the proposed hybrid descent method, several numerical examples show that better discrete filter designs can be sought via this hybrid descent method.
URI: http://hdl.handle.net/10397/24936
ISSN: 1055-6788
DOI: 10.1080/10556780903254104
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