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- W1973544767 abstract "Abstract The fitting of multiexponential responses is a widely extended problem, common to many scientific disciplines. Various algorithms have been developed to solve in a more or less successful way this kind of problem. But, in all of the cases, these algorithms deal with the difficulty of the large variation of the solution when a little noise masks our data. In effect, the ill-conditioned nature of the problem restricts the accuracy of the results. This paper describes a fitting procedure, applicable in the case of multiexponential transients, for which we have checked a good capability for determining the response parameters even when we have rather low signal-to-noise ratios. This procedure combines the time domain transform technique known as the Z-transform with a technique of singularities reconstruction using the so-called Pade-approximants. We also make an approach to the effect of noise in the algorithm accuracy and how this noise can be overcome. Finally, we present a theoretical study of the behavior of the algorithm working with signals affected by a noise superposed and we check this fitting technique by analyzing the time transients, after sample demagnetization, of the magnetic reluctivity experimentally observed in a magnetite specimen near room temperature." @default.
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- W1973544767 date "1997-03-01" @default.
- W1973544767 modified "2023-09-26" @default.
- W1973544767 title "A quick and low noise sensitive technique to fit multiexponential responses" @default.
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- W1973544767 doi "https://doi.org/10.1016/s0927-0256(96)00099-7" @default.
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