Sampling -- reconstruction procedure of stochastic processes and instability of sampling times

Abstract

The present paper is the revision of some author's publications devoted to some problems of the sampling-reconstruction procedure (SRP) of stochastic processes. The analysis is carried out on the basis of one method-the conditional mean rule. Taking into account the pdf of sampled process and the limited number of samples we have a possibility to form some practical recommendations about the choice of the reconstruction functions and sampling intervals when the error reconstruction is given. There is another variant: if the sampling intervals and the jitter characteristics are given then one can calculate the quality of the reconstruction procedures.