Suboptimal filtering and nonlinear time scale transformation for the analysis of multiexponential decays

\Multiexponential decays may contain time-constants differing in several or ders of magnitudes, In such cases, uniform sampling results in very long re cords featuring a high degree of oversampling at the final part of the tran sient. Here, we analyze a nonlinear time scale transformation to reduce the total number of samples with minimum signal distortion, achieving an impor tant reduction of the computational cost of subsequent analyses. We propose a time-varying filter whose length is optimized for minimum mean square er ror.