Method for Computing Time Response of Systems Described by Transfer Functions

✍ Scribed by Kishore Singhal; Jiri Vlach

• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 416 KB
• Volume: 311
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(81)90044-2

✦ Synopsis

~sswcr:

A simple numerical method for computing the time domain response of linear time invariant systems described by their transfer functions is presented. The method does not require computation of transfer function poles or residues; it is not influenced by the multiplicity of poles or zeroes, nor does it require computation of the matrix exponential. Rather, it is based on a numerical method for inverting Laplace transforms. It is equivalent to very high order, absolutely stable numerical integration. Stiff systems present no problems.

I. Mroduction

A numerical method for inverting Laplace transforms was developed by the authors and a summary of the principal results is given in (1). It was shown in

(2) that the method can be interpreted as an absolutely stable high-order integration technique if applied to networks with initial voltages on capacitors and initial currents through the inductors. In this contribution we extend the technique to systems described by transfer functions. The method is accurate, fast and requires low storage.