Time-domain synthesis of transfer functions for low sensitivity active filters

Abstract

This paper presents a new class of lowpass filters with all transmission zeros at infinity which are intended for pulse applications. Their transfer functions are derived by computational optimization in the time domain of either step response or impulse response under the constraint of double or higher-order multiplicity of the dominant pair of poles. The frequency and time-domain characteristics of these filters compare favourably with these for Schussler filters which are known for their superior rise-time overshoot relationship. Yet, due to the multiplicity of the dominant pair of poles, the critical pole Q factor is very much decreased. Thus, the new filter functions can be advantageously applied in the synthesis of low sensitivity networks and particularly in the design of low sensitivity active filters. The pole locations and some other important frequency and time-domain parameters are tabulated for optimum step response and for optimum impulse response for nequals; 5-9 and several values of the m...