Time-domain approach to the problem of sampling

The statistical parameters form a useful base for solving some problems of superposition as well as transmission of random values through linear systems for arbitrary probability distribution. In the present contribution, the approach is extended to characterizing the time-domain signal properties by statistics of differences in a sequence of signal samples. The dependence of standard deviations of the differences on sampling frequency delivers the information for properly choosing the sampling conditions. Further, the influence of linear systems on data smoothing is investigated. The theory for these methods is summarized in the Appendix.