Detail publikačního výsledku

Computation of inverse D-transform via NLI algorithm

BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.

Originální název

Computation of inverse D-transform via NLI algorithm

Anglický název

Computation of inverse D-transform via NLI algorithm

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.

Vydáno

14.12.2006

Nakladatel

WSEAS

Místo

Puerto De La Cruz, Tenerife

ISBN

960-8457-57-2

Kniha

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

Strany od

184

Strany počet

4

BibTex

@inproceedings{BUT20363,
  author="Dalibor {Biolek} and Viera {Biolková} and Zdeněk {Kolka}",
  title="Computation of inverse D-transform via NLI algorithm",
  booktitle="Proceedings of the 5th WSEAS International Conference on Systems, Science and Simulation in Engineering ICOSSE'06",
  year="2006",
  number="1",
  pages="4",
  publisher="WSEAS",
  address="Puerto De La Cruz, Tenerife",
  isbn="960-8457-57-2"
}