Fixed-point implementation of multi-dimensional delta-operator formulated discrete-time systems: difficulties in convergence

Peter H. Bauer, Kamal Premaratne

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, the convergence properties of linearly stable multi-dimensional systems are investigated for the case of delta-operator implementations in fixed-point format. It is shown that zero-convergence is almost never achieved, if the sampling time is small. Using a one-dimensional analysis, it is demonstrated that zero-convergence cannot be guaranteed along the axis of the first hyper-quadrant for a first hyper-quadrant causal system. This limits the use of delta-operators for solving partial differential equations in discrete time with fixed-point arithmetic.

Original languageEnglish (US)
Title of host publicationConference Proceedings - IEEE SOUTHEASTCON
PublisherPubl by IEEE
Pages26-29
Number of pages4
ISBN (Print)078031798X
StatePublished - Jan 1 1994
Externally publishedYes
EventProceedings of the IEEE SOUTHEASTCON '94 - Miami, FL, USA
Duration: Apr 10 1994Apr 13 1994

Publication series

NameConference Proceedings - IEEE SOUTHEASTCON
ISSN (Print)0734-7502

Other

OtherProceedings of the IEEE SOUTHEASTCON '94
CityMiami, FL, USA
Period4/10/944/13/94

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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