IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, vol. 46, no. 8, pp. 981-990, Aug. 1999

Multicriteria Optimization of Analog Filter Designs

Niranjan Damera-Venkata and Brian L. Evans

Embedded Signal Processing Laboratory, Department of Electrical and Computer Engineering, Engineering Science Building, The University of Texas at Austin, Austin, TX 78712-1084 USA



This paper presents an extensible framework for designing analog filters that exhibit several desired behavioral properties after being realized in circuits. In the framework, we model the constrained non-linear optimization problem as a sequential quadratic programming (SQP) problem. SQP requires real-valued constraints and objective function that are differentiable with respect to the free parameters (pole-zero locations). We derive the differentiable constraints and a weighted differentiable objective function for simultaneously optimizing the behavioral properties of magnitude response, phase response, and peak overshoot and the implementation property of quality factors. We use Mathematica to define the algebraic equations for the constraints and objective function, compute their gradients symbolically, and generate standalone Matlab programs to perform the multi-criteria optimization. Providing closed-form gradients prevents divergence in the SQP procedure. The automated approach avoids errors in algebraic calculations and errors in transcribing equations into software. The key contributions are
  1. an extensible, automated, multi-criteria filter optimization framework,
  2. an analytic approximation for peak overshoot, and
  3. three novel filter designs.
We have released the source code for the framework on the Internet.

Last Updated 11/08/04.