A New Technique for the Synthesis of Distributed-Active RC Circuits

Abstract

A transfer-function synthesis procedure using distributedactive <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">RC</tex> circuits is presented. The distributed element is a rectangular distributed RC network with contoured electrodes, and the active element is an operational amplifier. These two elements comprise the entire circuit required for voltage transfer-function synthesis. Explicit realizability conditions are derived for bilinear and biquadratic transfer functions as well as for their degenerate forms. These conditions define two planes with regions of realizability within which the poles and zeros of the voltage transfer function must lie. For the case of complex roots the realizability region is defined in the complex frequency plane. For pairs of real roots the realizability region is depicted on a plane whose coordinates are both real. An example demonstrating the procedure is presented.