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BIOLEK, D. BIOLKOVÁ, V. KOLKA, Z.
Originální název
New algorithm of numerical inversion of D-transform
Typ
článek v časopise - ostatní, Jost
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
D-transform, s-z correspondence, continuous-time signal, discrete-time signal
Autoři
BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.
Rok RIV
2007
Vydáno
1. 1. 2007
Nakladatel
WSEAS
Místo
Greece
ISSN
1790-5022
Periodikum
WSEAS Transactions on Signal Processing
Ročník
3
Číslo
1
Stát
Řecká republika
Strany od
38
Strany do
43
Strany počet
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" }