Integral transformations and stochastic spectra of signals and noises for postcorrelation theory of infocommunications

Development of modern infocommunication and radiotechnical systems demands creating of postcorrelation theory for adequate representing of signal-noise situation when signals and noises have non-Gaussian distributions. In the report, the proof of the existence of integral transformation of one-dimension variate is presented. Conditions of existence and properties of stochastic spectra are shown. The pare of integral transformations conduct stochastic spectra. In the paper, we present properties of characteristic sets of combinations and compositions of independent fluctuating originals. It is very important for signal-noise situations describing, designing of optimal algorithms of receiving, determination of potential and realizable noise immunity in particular conditions.