Publication detail

New algorithm of numerical inversion of D-transform

BIOLEK, D. BIOLKOVÁ, V. KOLKA, Z.

Original Title

New algorithm of numerical inversion of D-transform

Type

journal article - other

Language

English

Original Abstract

The D-transform, introduced in 1998 by J. Hekrdla, converts a continuous-time signal to a sequence. In contrast to the classical sampling, there is no such visible connectivity between the continuous-time signal and its discrete-time counterpart in the time domain. The main feature of the D-transform consists in preserving the relations between the derivative of continuous-time signal and the difference of discrete-time signal. This fact enables, among other things, changing the problem of numerical solution of differential equations into the simpler problem of solving difference equations, without losing accuracy. The inverse D-transform represents a pending issue because it cannot be derived in closed form as in the case of the Fourier, Laplace, or other known transforms. 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

Authors

BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.

RIV year

2007

Released

1. 1. 2007

Publisher

WSEAS

Location

Greece

ISBN

1790-5022

Periodical

WSEAS Transactions on Signal Processing

Year of study

3

Number

1

State

Hellenic Republic

Pages from

38

Pages to

43

Pages count

6

BibTex

@article{BUT43780,
  author="Dalibor {Biolek} and Viera {Biolková} and Zdeněk {Kolka}",
  title="New algorithm of numerical inversion of D-transform",
  journal="WSEAS Transactions on Signal Processing",
  year="2007",
  volume="3",
  number="1",
  pages="38--43",
  issn="1790-5022"
}