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

• Published in: IEEE transactions on circuits and systems. I, Regular papers Vol. 55; no. 10; pp. 3110 - 3118
• Main Authors: Vucic, Mladen, Molnar, Goran
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.11.2008; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Approximation; Circuits; Constraint optimization; Continuous wavelet transforms; Design engineering; Design methodology; Filters; Impulse response; Impulse response approximation; Least squares method; Network synthesis; Optimization; Programming; Programming profession; Pulse shaping methods; pulse-forming networks; Representations; second-order cone programming (SOCP); Shape; Time domain analysis; time-domain synthesis; wavelet filter; Wavelet transforms; Impulse response approximation; wavelet filter; pulse-forming networks; second-order cone programming (SOCP); time-domain synthesis
• ISSN: 1549-8328; 1558-0806
• DOI: 10.1109/TCSI.2008.925379

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.