Digital spectral analysis: with applications
Digital spectral analysis: with applications
Numerical methods and software
Numerical methods and software
A regularization method for the numerical inversion of the Laplace transform
SIAM Journal on Numerical Analysis
Regular Article: Regularized Inversion of Noisy Laplace Transforms
Advances in Applied Mathematics
On spline regularized inversion of noisy Laplace transforms
Journal of Computational and Applied Mathematics
Algorithm 368: Numerical inversion of Laplace transforms [D5]
Communications of the ACM
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The paper describes a new, robust method for the exponential analysis problem solving. In discrete case the regularizing operators of the inverse Laplace transformation are used for transformation of experimental data into a form that is more suitable for determination of decay rates and amplitudes. In the case of a continuous distribution a spectral function is obtained by regularized inverse Laplace transformation of the transient. The proposed method has advantages over known methods and is tolerant to the baseline offset. The results of numerical testing show that the proposed method can be used in high-resolution analysis for determination of spectral functions, decay rates and amplitudes from experimentally measured transients.