Decomposition of Random Sampling Point Processes

Abstract

An approach to digital processing of pseudo-randomly sampled signals, based on decomposition of the employed sampling point processes, is proposed and discussed. Specifically, it is suggested to represent additive sampling and periodic sampling with jitter as composed from variously shifted in phase periodic processes with randomly skipped sampling points. That makes it possible to estimate signal parameters under the conditions of well-defined aliasing differing for various phase shifts of the sampling process components. The described approach provides the basis for development of various algorithms for alias-free processing of pseudo-randomly sampled wideband signals in a wide frequency range more effectively dealing with the problem of the alias elimination. Ill. 6, (in English; summaries in English, Russian and Lithuanian).