Joint optimization of multiple behavioral and implementation properties of analog filter designs

This paper presents an extensible framework for optimizing analog filter designs for multiple behavioral and implementation properties. We demonstrate the framework using the behavioral properties of magnitude response, phase response, and peak overshoot, and the implementation property of quality factors. We represent the analog filter in terms of its poles and zeros. We match the constrained non-linear optimization problem to a sequential quadratic programming (SQP) problem, and develop symbolic mathematical software to translate the SQP formulation into working MATLAB programs to optimize analog filter designs. The automated approach avoids errors in algebraic calculations and errors in transcribing the mathematical equations in software. The packages are freely distributable.