Continuous-time to discrete-time conversion via a novel parametrized s-to-z-plane mapping

Abstract

A parametrized s-to-z-plane map is introduced, where the conventional bilinear map and backward and forward Euler rules appear as special cases. Time and frequency-domain characteristics of the map are discussed, along with a simple technique for applying this map to adaptively reduce truncation error in the continuous-time to discrete-time conversion problem. An example illustrates the method and its potential for yielding more accurate discrete-time models over conventional approaches.