Statistical analysis of fast fluctuating random signals with arbitrary-function envelope under breach of consistency of discontinuous information parameter estimate

摘要

We carried out the synthesis and analysis of quasi-likelihood detector and measurer of a highfrequency random pulse with arbitrary-function envelope, unknown appearance time and inaccurately known duration. We introduced the asymptotically exact method of theoretical calculation of detection and estimation characteristics including anomalous errors effect, if conditions of the decision statistics regularity and consistency of discontinuous parameter estimate are not fulfilled. It has allowed us to define the efficiency of presented receivers analytically. By methods of statistical computer modeling we corroborated the adequacy of the considered analytical approach of the statistical analysis of discontinuous random pulse signals, and also we established its applicability borders for considered tasks.