Convergence problems and optimal parameter estimation in FFT-based method of numerical inversion of two-dimensional laplace transforms

Midwest Symposium on Circuits and Systems

Volumn 1, Issue , 2004, Pages

  Brančík, Lubomír ^a  

^a BRNO UNIVERSITY OF TECHNOLOGY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; FAST FOURIER TRANSFORMS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS;

FOURIER SERIES; PERIODICAL FUNCTIONS; QUOTIENT-DIFFERENCE ALGORITHMS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 11144235619     PISSN: 15483746     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

1. L. Brančík and J. Valsa, "A Fast Computing Method of Numerical Inversion of Two-Dimensional Laplace Transforms Using FFT Algorithms," in Proceedings of Advances in Systems, Signals, Control and Computers SSCC'98, Vol. II, Durban, South Africa, September 1998, p. 102-106.
2. E. I. Jury, P. Bauer, "On the Stability of Two-Dimensional Continuous Systems," IEEE Transactions on Circuits and Systems, Vol. 35, No. 12, December 1988, p. 1487-1500.
3. L. Brančík, "An Improvement of FFT-based Numerical Inversion of Two-Dimensional Laplace Transforms by Means of ε-algorithm," in Proceedings of IEEE International Symposium on Circuits and Systems ISCAS'2000, Geneva, Switzerland, May 2000, p. 581-584.
4. L. Brančík, "Numerical Inversion of Two-Dimensional Laplace Transforms Based on FFT and Quotient-Difference Algorithm," in Proceedings of The International Conference on Fundamentals of Electronics, Communications and Computer Sciences ICFS'2002, Tokyo, Japan, March 2002, p. 13-15 - 13-20.
5. V. A. Ditkin, A. P. Prudnikov, "Operational Calculus in Two Variables and its Applications," New York, Pergamon 1962.
6. P. Henrici, "Quotient-difference algorithms," Mathematical Methods for Digital Computers, Vol. 2, A. Ralston and H. S. Wilf, eds., John Wiley, NewYork, 1967, p. 37-62.
7. F. R. DeHoog and J. H. Knight and A.N. Stokes, "An Improved Method for Numerical Inversion of Laplace Transforms," SIAM J. Sci. Stat. Comput., Vol. 3, No. 3, September 1982, p.357-366.
8. th European Conference on Circuit Theory and Design ECCTD'01, Espoo, Finland, August 2001, Vol. 2, p. 133-136.