Detail publikace

# Computation of inverse D-transform via NLI algorithm

Originální název

Computation of inverse D-transform via NLI algorithm

Anglický název

Computation of inverse D-transform via NLI algorithm

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Dokumenty

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.",