Inverse Laplace transformation of noisy data using Fisher information

  • 徐 嘉群

Student thesis: Master's Thesis

Abstract

Inverse problems arise in many areas of research and applications The Fredholm integral equation of the first kind with an exponential decay kernel is an ill-posed inverse problem In this thesis the equation is studied using the Tikhonov regularization method with Fisher information as a regularization function A numerical algorithm for solving the Fredholm integral equation is outlined to obtain well-defined solutions and an optimal unique solution is determined by the L-curve criterion In our study several sets of simulated data are created from the log-normal distribution function to evaluate the performance of our algorithm We show that the algorithm can efficiently recover broad single-peak distributions and double-peak distributions with higher accuracy than the well-known algorithms of the maximum-entropy method and CONTIN
Date of Award2014 Jul 14
LanguageEnglish
SupervisorSu-Long Nyeo (Supervisor)

Cite this

Inverse Laplace transformation of noisy data using Fisher information
嘉群, 徐. (Author). 2014 Jul 14

Student thesis: Master's Thesis