Technique of 3D NILT based on Complex Fourier Series and Quotient-Difference Algorithm

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F10%3APU88459" target="_blank" >RIV/00216305:26220/10:PU88459 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Technique of 3D NILT based on Complex Fourier Series and Quotient-Difference Algorithm
Original language description
The paper deals with a technique of the numerical inversion of three-dimensional Laplace transforms (3D NILT) based on a complex Fourier series approximation, in conjunction with a quotient-difference (q-d) algorithm. It is a generalization of a 2D NILTtechnique of the same principle to three variables. Especially, a detailed error analysis is done resulting in a formula giving a connection between a relative error and the paths of a numerical integration of a triple Bromwich integral. To evaluate triple infinite sums gained by the numerical integration, a partial inversion technique is applied while utilizing the FFT and IFFT algorithms for the fast evaluation, and the q-d algorithm to speed up the convergence of residual infinite series. The technique was algorithmized in a Matlab language and experimentally verified.
Czech name
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Czech description
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Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach<br>R - Projekt Ramcoveho programu EK

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
2010 IEEE International Conference on Electronics, Circuits, and Systems
ISBN
978-1-4244-8156-9
ISSN
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e-ISSN
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Number of pages
4
Pages from-to
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Publisher name
IEEE CAS
Place of publication
Athens, Greece
Event location
Athens
Event date
Dec 12, 2010
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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