Title :
Minimax design of IIR digital filters using a sequential constrained least-squares method based on GN strategy
Author :
Luo Jiahao ; Lai Xiaoping ; Hou Xiuzhu
Author_Institution :
Inst. of Inf. & Control, Hangzhou Dianzi Univ., Hangzhou, China
Abstract :
The optimal design of infinite impulse response (IIR) digital filters is usually a nonconvex problem, and thus has many local optimal solutions. A new method that combines Gauss-Newton strategy with the sequential constraint minimization procedure is proposed in this paper to convert the minimax design of IIR digital filters into a sequence of convex sub-problems. Compared with some recent design methods, this method can decrease the frequency response error and the group-delay error near the passband edges. Simulation examples illustrate the effectiveness of the proposed algorithm.
Keywords :
IIR filters; Newton method; concave programming; convex programming; least squares approximations; minimax techniques; minimisation; Gauss-Newton strategy; IIR digital filters; convex subproblems; frequency response error; group-delay error; infinite impulse response digital filters; local optimal solutions; minimax design; nonconvex problem; passband edges; sequential constrained least-squares method; sequential constraint minimization procedure; Algorithm design and analysis; Finite impulse response filter; IIR filters; Stability criteria; Gauss-Newton (GN) Strategy; IIR Digital Filters; Minimax Design; Sequential Constrained Least-Squares (SCLS);
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
