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

fYear

2011

fDate

22-24 July 2011

Firstpage

3160

Lastpage

3164

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);

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001024