Time-Domain Synthesis of Continuous-Time Systems Based on Second-Order Cone Programming

Author

Vucic, Mladen ; Molnar, Goran

Author_Institution

Dept. of Electron. Syst. & Inf. Process., Univ. of Zagreb,, Zagreb

Volume

55

Issue

10

fYear

2008

Firstpage

3110

Lastpage

3118

Abstract

A method for the design of continuous-time systems approximating prescribed impulse response is presented. The method is based on the least-squares error criterion. Using zero-pole-gain representation of the system, a constrained optimization problem is formed. The optimum is found by iterative procedure in which a second-order cone program is solved in each iteration. The method is applied in the design of continuous-time wavelet filters and high-voltage pulse-forming networks. It proved to be fast with low sensitivity to the iteration starting-point. Furthermore, it is suitable for the design of high-order systems.

Keywords

continuous time filters; iterative methods; least squares approximations; optimisation; time-domain synthesis; transient response; constrained optimization; continuous-time systems; impulse response; iterative processes; least-squares error criterion; second-order cone programming; time-domain synthesis; zero-pole-gain representation; Impulse response approximation; pulse-forming networks; second-order cone programming (SOCP); time-domain synthesis; wavelet filter;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2008.925379

Filename

4519968