An improvement of FFT-based numerical inversion of two-dimensional Laplace transforms by means of ε-algorithm

被引:11
|
作者
Brancik, L [1 ]
机构
[1] Brno Univ Technol, Fac Elect Engn & Comp Sci, Inst Theoret & Expt Elect Engn, Brno 61200, Czech Republic
关键词
D O I
10.1109/ISCAS.2000.858818
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
The paper describes a fast computational method for the numerical inversion of two-dimensional Laplace transforms (2D-NILT). The numerical procedure is basically that based on FFT algorithms [1], however, it was improved significantly using an E-algorithm to give a precision to the result. Comparing with the original method [1] the procedure under consideration enables to decrease an error by a few orders. The method has been programmed and verified using universal mathematical language Matlab, Obtained results show that the proposed algorithm can be both very fast and accurate enough.
引用
收藏
页码:581 / 584
页数:4
相关论文
共 50 条
  • [21] NUMERICAL INVERSION OF 2-DIMENSIONAL LAPLACE TRANSFORMS - FOURIER-SERIES REPRESENTATION
    MOORTHY, MV
    [J]. APPLIED NUMERICAL MATHEMATICS, 1995, 17 (02) : 119 - 127
  • [22] Animations of electromagnetic transients in power transmission lines by means of the two-dimensional numerical Laplace transform
    Nuricumbo-Guillen, Rodrigo
    Espino-Cortes, Fermin P.
    Gomez, Pablo
    [J]. INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS, 2017, 93 : 171 - 177
  • [23] Two-dimensional FFT and two-dimensional CA-CFAR based on ZYNQ
    Yuan, Yunneng
    Li, Weihua
    Sun, Zhongsheng
    Zhang, Yuxi
    Xiang, Hong
    [J]. JOURNAL OF ENGINEERING-JOE, 2019, 2019 (20): : 6483 - 6486
  • [24] ON THE TWO-DIMENSIONAL VECTOR SPLIT-RADIX FFT ALGORITHM
    WU, HR
    PAOLONI, FJ
    [J]. IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1989, 37 (08): : 1302 - 1304
  • [25] Algorithm 944: Talbot Suite: Parallel Implementations of Talbot's Method for the Numerical Inversion of Laplace Transforms
    Antonelli, Laura
    Corsaro, Stefania
    Marino, Zelda
    Rizzardi, Mariarosaria
    [J]. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2014, 40 (04):
  • [27] Two-Dimensional Laplace, Hankel, and Mellin Transforms of Linear Time-Varying Systems
    Erfani, Shervin
    Bayan, Nima
    [J]. 2009 52ND IEEE INTERNATIONAL MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1 AND 2, 2009, : 794 - +
  • [28] Discussions about FFT-based two-step hase-shifting algorithm
    Zhu, Yongjian
    Liu, Liren
    Luan, Zhu
    Sun, Jianfeng
    [J]. OPTIK, 2008, 119 (09): : 424 - 428
  • [29] FFT-based convolution algorithm for fast and precise numerical evaluating diffracted field by photon sieve
    Sabatyan, Arash
    Elahi, Leila
    [J]. OPTIK, 2013, 124 (21): : 4960 - 4962