A method for the analysis of the data represented by a multiple exponential function.

Abstract

A method for the analysis of the data represented by the sum of multiple exponential functions is proposed in which each component of f(t) = n sigma i=1 aie -zetait is expressed as a spectrum. The convolution integral is derived by applying the Laplacian integral to f(t) with suitable transformation of the variables, and the spectrum representation is obtained by using the Fourier transformation. A generalized theoretical analysis is made and several results of numerical evaluations for model data or experimental data are briefly described.