Models and Methods for Study of Amplitude Pulse Modulation Systems with Random Correlated Intervals of Discretization

摘要

A new approach to mathematical description and analysis of linear amplitude pulse modulation systems (APM systems) with random correlated intervals of a discretization is proposed. A model of a discretization process as a moving average is studied, where the correlation is taken into account. The problems related to the descriptions of its parameters are studied. The equation for the average reaction of a system to a determinated input action was obtained; it is an integral Volterra equation of the second order and corresponds to a non-stationary system. A method for determination of the stability with respect to the mathematical expectation is developed. Examples are considered.