The application of 2-D numerical inversion of Laplace transform

Author

Zhang, Chao ; Hu, Shao-hai ; Xiao, Yang ; Wang, Xue-fen

Author_Institution

Inst. of Inf. Sci., Beijing Jiaotong Univ., Beijing

fYear

2008

Firstpage

60

Lastpage

63

Abstract

For the 2D continuous space-time (CST) systems are described by linear 2-D partial equations, generally, it is impossible to get the closed solutions of the CST systems. To get the space-time response of CST systems needs the inverse 2-D Laplace transform. However, the 2-D inverse Laplace transform (ILT) does not exist for unstable CST, a theorem is proposed to ensure the 2-D ILT to be obtained for stable CST systems. In this paper, we present the approach to get the solutions of CST systems, we also derive an algorithm of numerical 2-D ILT for the vector spatial-time response analysis of CST systems.

Keywords

Laplace transforms; space-time adaptive processing; 2D continuous space-time systems; 2D numerical inversion; inverse 2D Laplace transform; linear 2D partial equations; space-time response; vector spatial-time response analysis; Algorithm design and analysis; Chaos; Continuous time systems; Convolution; Educational programs; Eigenvalues and eigenfunctions; Functional analysis; Information science; Laplace equations; Signal processing; 2-D FFT; 2-D continuous space-time systems; vector 2-D Laplace transform;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing, 2008. ICSP 2008. 9th International Conference on

Conference_Location

Beijing

Print_ISBN

978-1-4244-2178-7

Electronic_ISBN

978-1-4244-2179-4

Type

conf

DOI

10.1109/ICOSP.2008.4697068

Filename

4697068