Parameter correlation of impulse shapes using two-port synthesis

Abstract

Equations are derived for determining the time constants of the double exponential impulse from the commonly used parameters for several standard test impulses. A resistor-capacitor (RC) circuit is synthesized that will produce the desired impulse. The prototype network is realized through a computer-aided design (CAD) procedure using Cauer's RC ladder two-port synthesis method. Descriptions of prototype circuits and test data comparing the theoretical and experimental impulse shapes are also included. The results are a simplified method for determining the time constants of a double exponential function from given impulse parameters and a method for deriving the component values for prototype circuits.<>