New algorithm of numerical inversion of D-transform

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F07%3APU64012" target="_blank" >RIV/00216305:26220/07:PU64012 - isvavai.cz</a>

Alternative codes found

RIV/60162694:G43__/07:#0000200

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

New algorithm of numerical inversion of D-transform

Original language description

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 Laplac

Czech name

Nový algoritmus numerické inverze D-transformace

Czech description

V článku je popsán nový algoritmus hledání spojitého analogového signálu k jeho D-obrazu.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

JA - Electronics and optoelectronics

OECD FORD branch

—

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

WSEAS Transactions on Signal Processing

ISSN

1790-5022

e-ISSN

—

Volume of the periodical

3

Issue of the periodical within the volume

1

Country of publishing house

GR - GREECE

Number of pages

6

Pages from-to

38-43

UT code for WoS article

—

EID of the result in the Scopus database

—