A method for the analysis of the data represented by a multiple exponential function.
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.
D000818:Animals; D003201:Computers; D005583:Fourier Analysis; D006801:Humans; D009682:Magnetic Resonance Spectroscopy; D008433:Mathematics; D008962:Models, Theoretical; D009369:Neoplasms / Q000175:diagnosis