Detail publikace

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

BRANČÍK, L.

Originální název

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

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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 NILT technique 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.

Klíčová slova

numerical inversion; three-dimensional Laplace transform; complex Fourier series; quotient-difference algorithm

Autoři

BRANČÍK, L.

Rok RIV

2010

Vydáno

12. 12. 2010

Nakladatel

IEEE CAS

Místo

Athens, Greece

ISBN

978-1-4244-8156-9

Kniha

2010 IEEE International Conference on Electronics, Circuits, and Systems

Strany od

207

Strany do

210

Strany počet

4

URL

http://www.icecs2010.org

BibTex

@inproceedings{BUT35145,
  author="Lubomír {Brančík}",
  title="Technique of 3D NILT based on Complex Fourier Series and Quotient-Difference Algorithm",
  booktitle="2010 IEEE International Conference on Electronics, Circuits, and Systems",
  year="2010",
  pages="207--210",
  publisher="IEEE CAS",
  address="Athens, Greece",
  isbn="978-1-4244-8156-9",
  url="http://www.icecs2010.org"
}