Semi-infinite optimization technique for the design of matrix filters

Author

Wang, Shi ; Zhu, Zhiwen ; Leung, Henry

Author_Institution

Dept. of Electr. Eng., Nanjing Univ. of Sci. & Technol., Jiangsu, China

fYear

1998

fDate

14-16 Sep 1998

Firstpage

204

Lastpage

207

Abstract

We propose the design of a matrix filter by a semi-infinite programming technique. The basic idea is to formulate the design problem into a semi-infinite optimization model where the mean square error between the desired response and the designed filter in the passband is minimized subject to a set of nonlinear functional inequalities. These inequality constraints are used to ensure that the stopband attenuation satisfies the prescribed performance specifications. Three design examples are given to show the feasibility of the proposed method

Keywords

constraint theory; digital filters; mean square error methods; minimisation; nonlinear functions; inequality constraints; matrix filter design; mean square error; minimization; nonlinear functional inequalities; semi-infinite optimization; semi-infinite programming; stopband attenuation; Attenuation; Band pass filters; Design optimization; Digital filters; Filtering; Finite impulse response filter; Frequency; Linear matrix inequalities; Mean square error methods; Passband;

fLanguage

English

Publisher

ieee

Conference_Titel

Statistical Signal and Array Processing, 1998. Proceedings., Ninth IEEE SP Workshop on

Conference_Location

Portland, OR

Print_ISBN

0-7803-5010-3

Type

conf

DOI

10.1109/SSAP.1998.739370

Filename

739370