A semi - symbolic method of electronic circuit design by pole and zero distribution optimization using time - constants approximation including inductors

Abstract

In this work a new method of linear circuit design in frequency domain by poles (zeros) distribution optimization is presented. The method which uses the relationship between poles and appropriate sums of circuit time - constants does not need the poles determination, explicitly. New relationships, allowing us to calculate time - constants matrix for circuits having capacitors and inductors as reactive elements, have been derived. In the first stage of the method the criterion function is generated in semi - symbolic form, while in the second stage the optimization process is performed. The optimization loop does not include circuit equations formulation and solution. Thanks to this fact the method proposed appears to be very efficient. The example for optimal capacitor and inductor choice in such a way to reach the required transfer characteristics has been also included.