Multiexponential decays may contain time-constants differing in several orders of magnitudes. In such cases linear sampling results in very, long records featuring a high degree of oversampling. Here, we analyze a nonlinear linear time scale transformation to reduce the total number of points with a minimum signal distortion achieving an important reduction of the computational cost of subsequent analyses. We propose a time-varying filter whose length is optimised for minimum quadratic error.
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Palacín et al. (2003) studied this question.
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