B.I. Yakubovich

Many physical processes flowing in various objects and systems, represent stochastic pulse processes. They are observed in different fields of physics and has the form stochastic sequence of pulses. Therefore researches having the purpose were carried out - to analyse stochastic sequence of pulses in enough general form, and to calculate universal expression for its spectrum. Results of such researches can be used for determination of spectra of numerous pulse processes. The following stochastic sequence of pulses was considered. Pulses are statistically connected: the amplitude of an pulse is statistically connected with amplitude and duration of a previous pulse. Pulse parametres (duration and amplitude) are statistically connected. Statistical connections and distributions of parametres are set in a general form. Pulses have any form. The spectrum of stochastic sequence of pulses was calculated. As a result expression of a general form for a spectrum of stochastic sequence of pulses is obtained. It gives the more general description of a spectrum of stochastic pulse process, than results available earlier. From the calculated general expression transition to various special cases and, including, to formulas known earlier is possible. As a result of consecutive simplification of stochastic sequence of pulses formulas for spectra in following cases are obtained. Stochastic sequence with statistically independent pulses. Stochastic sequence with statistically independent pulses and pulse parametres. Stochastic sequence with statistically independent pulses and parametres of an pulse and symmetric distribution of amplitudes of pulses. At the further simplification: pulses statistically are not connected, pulse parametres are statistically independent, amplitudes of pulses are distributed symmetrically, pulses have the identical form and duration; the obtained general expression passes in Carson-s theorem. The considered stochastic sequence of pulses set in rather general form, can be used for the description of the numerous stochastic pulse processes flowing in various physical objects and systems. The obtained expressions can be applied for to determination and the analysis of spectra of stochastic pulse processes at the decision of many physical and technical problems.