Harmash O. Development of Poisson spectra method for research of noise diagnostic signals

A research object is noise diagnostic signals arising up in objects because of their natural functioning . An aim of work to development of the theory and practice of mathematical modelling of noise diagnostic signals and their linear transformations by Poisson spectra method. For the decision of the put tasks the methods of technical diagnostics were used; theories of signals and systems; theories of chances, casual processes and mathematical statistics; mathematical and functional analysis Physical sense of рoisson spectral function (PSF ) is established. The method of numerical finding of PSF is developed. Methods of PSF approximation and its statistical finding are developed. The approach of finding PSF at the output of linear systems under the influence of infinitely divisible stochastic processes is offered. With application of Poisson spectra and cumulant coefficients the detector of discrete acoustic emission signals is developed and investigated.