Publication detail

# Computation of inverse D-transform via NLI algorithm

BIOLEK, D. BIOLKOVÁ, V. KOLKA, Z.

Original Title

Computation of inverse D-transform via NLI algorithm

English Title

Computation of inverse D-transform via NLI algorithm

Type

conference paper

Language

en

Original Abstract

The D-transform (J. Hekrdla, ) converts a continuous-time signal into a sequence in such a way that - in contrast to the classical sampling - the relations between the derivative of continuous-time signal and the difference of discrete-time signal are strictly preserved. This fact enables, among other things, changing the problem of numerical solution of differential equations into the simpler problem of solving difference equations. The inverse D-transform represents a difficult problem, which has been solved numerically by means of Laguerr's finite series. This paper describes a novel method of D-transform inversion, which is based on mutual correspondence between the D, z, and Laplace transforms. Numerical accuracy is provided by the algorithm of the inverse Laplace transform, which works reliably also in the case of periodical or divergent signals.

English abstract

The D-transform (J. Hekrdla, ) converts a continuous-time signal into a sequence in such a way that - in contrast to the classical sampling - the relations between the derivative of continuous-time signal and the difference of discrete-time signal are strictly preserved. This fact enables, among other things, changing the problem of numerical solution of differential equations into the simpler problem of solving difference equations. The inverse D-transform represents a difficult problem, which has been solved numerically by means of Laguerr's finite series. This paper describes a novel method of D-transform inversion, which is based on mutual correspondence between the D, z, and Laplace transforms. Numerical accuracy is provided by the algorithm of the inverse Laplace transform, which works reliably also in the case of periodical or divergent signals.

Keywords

D-transform, s-z correspondence, continuous-time signal, discrete-time signal.

RIV year

2006

Released

14.12.2006

Publisher

WSEAS

Location

Puerto De La Cruz, Tenerife

ISBN

960-8457-57-2

Book

Proceedings of the 5th WSEAS International Conference on Systems, Science and Simulation in Engineering ICOSSE'06

Edition number

1

Pages from

184

Pages to

187

Pages count

4

BibTex

``````
@inproceedings{BUT20363,
author="Dalibor {Biolek} and Viera {Biolková} and Zdeněk {Kolka}",
title="Computation of inverse D-transform via NLI algorithm",
annote="The D-transform (J. Hekrdla, ) converts a continuous-time signal into a sequence in such a way that - in contrast to the classical sampling - the relations between the derivative of continuous-time signal and the difference of discrete-time signal are strictly preserved. This fact enables, among other things, changing the problem of numerical solution of differential equations into the simpler problem of solving difference equations. The inverse D-transform represents a difficult problem, which has been solved numerically by means of Laguerr's finite series. This paper describes a novel method of D-transform inversion, which is based on mutual correspondence between the D, z, and Laplace transforms. Numerical accuracy is provided by the algorithm of the inverse Laplace transform, which works reliably also in the case of periodical or divergent signals.",