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, [1]) 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, [1]) 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
Documents
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, [1]) 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.",
address="WSEAS",
booktitle="Proceedings of the 5th WSEAS International Conference on Systems, Science and Simulation in Engineering ICOSSE'06",
chapter="20363",
institution="WSEAS",
year="2006",
month="december",
pages="184",
publisher="WSEAS",
type="conference paper"
}