Title :
Numerical inversion of Laplace transform using Haar wavelet operational matrices
Author :
Wu, Jiunn-Lin ; Chen, Chin-Hsing ; Chen, Chih-Fan
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
fDate :
1/1/2001 12:00:00 AM
Abstract :
In this paper, a unified derivation of the operational matrices of various orthogonal functions including the Haar wavelet is first given. Based on the derived operational matrix, this paper presents a new method for performing numerical inversion of the Laplace transform. Only matrix multiplications and ordinary algebraic operations are involved in the method. The proposed method is much simpler as compared with the dictionary-type method and the contour-integration method
Keywords :
Laplace transforms; matrix multiplication; numerical analysis; wavelet transforms; Haar wavelet operational matrices; Laplace transform; matrix multiplications; numerical inversion; operational matrices; ordinary algebraic operations; orthogonal functions; unified derivation; Computer science; Continuous wavelet transforms; Differential algebraic equations; Differential equations; Discrete wavelet transforms; Integral equations; Laplace equations; Pulse circuits; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
