Sampling-time effects of higher-order digitisations and their applications in digital redesign

C. H. Wang, W. Y. Wang, T. T. Lee

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A study is made of the sampling-time effects of higher-order digitisations (i.e the Madwed and Boxer-Thaler digitisations) to convert a continuous-time system into a discrete time system. A general expression for the denominator and numerator of the digitised system is proposed, and used to predict precisely the computational stability and sampling-time effects of these types of digitisation. The polynomial root locus is introduced to described the pole variations of the digitised system is proposed and used to predict precisely the computational stability and sampling-time effects of these types of digitisation. The polynomial root locus is introduced to described the pole variations of the digitised system when the sampling time is varied from zero to infinity. The maximum sampling time of a particular digitisation can also be found by a new algorithm which is proposed. The transient behaviour of the digitised system is further studied by defining a new set of transient terms for discrete-time systems. In this way, the effects of sampling-time can be studied thoroughly. It is shown that the appropriate methods play a meaningful role in selecting appropriate sampling times for real problems. Several examples are illustrated.

Original languageEnglish
Pages (from-to)83-92
Number of pages10
JournalIEE Proceedings: Control Theory and Applications
Volume141
Issue number2
DOIs
Publication statusPublished - 1994 Mar 1

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sampling
Sampling
Analog to digital conversion
Root loci
Poles
loci
Polynomials
Continuous time systems
polynomials
poles
infinity

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Instrumentation
  • Electrical and Electronic Engineering

Cite this

Sampling-time effects of higher-order digitisations and their applications in digital redesign. / Wang, C. H.; Wang, W. Y.; Lee, T. T.

In: IEE Proceedings: Control Theory and Applications, Vol. 141, No. 2, 01.03.1994, p. 83-92.

Research output: Contribution to journalArticle

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