Non-linear time scale transformation for the analysis of multiexponential decays

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