The Role of Positive Real Functions in A/D Transfer Function Matching

Abstract

Many adequate methods exist for conversion of transfer functions in the continuous domain to discrete equivalents with preservation of magni- tude. Frequency response in the true sense however is composed of both magnitude and phase components with characteristics input response in the time domain dependent on both parts. In an e ort to eliminate ac- ceptance of prediction error associated with phase distortion between con- tinuous and discrete "equivalents", this work strives for a transformation yielding complete transfer function (frequency response) match. Corre- lation is shown between operating on positive real continuous transfer functions and successful duplication of frequency response in the discrete domain. This work continues an earlier research e ort.