A computer algorithm for frequency response calculations

Abstract

This paper shows how the state variable description of linear dynamical systems can be used to develop a general digital computer program for frequency response calcula tions. State variables are first introduced in the time domain, and a straightforward application of the Fourier Transform yields equations suitable for programming on a digital computer. Data input is discussed, and an algorithm given which will allow this data to be the coefficients of polynomial transfer functions. The selection of frequency values at which the response is to be calculated is covered, and an indication of possible numerical pitfalls is given. An example is presented.