Title :
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
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;
Conference_Titel :
Statistical Signal and Array Processing, 1998. Proceedings., Ninth IEEE SP Workshop on
Conference_Location :
Portland, OR
Print_ISBN :
0-7803-5010-3
DOI :
10.1109/SSAP.1998.739370
