Application of the orthogonal representation method for determining the probability densities of typical models of fluctuation signals
The theoretical and experimental probability densities of fluctuation signals have been determined for typical models of elementary pulses based on their orthogonal representations and using mathematical simulation. The obtained results showed the validity of such representation.
S. M. Rytov, Introduction to Statistical Radiophysics. Part 1. Random Processes (Nauka, Moscow, 1976) [in Russian].
T. A. Gorovetskaya, A. I. Krasil’nikov, and Kh. D. Chan, “Models and Distribution Laws of Fluctuation Signals,” Elektronika i Svyaz’, No. 9, 5 (2000).
V. I. Bunimovich, Fluctuation Processes in Radio Receivers (Sov. Radio, Moscow, 1951) [in Russian].
S. Rice, “Theory of noise and fluctuation,” in book Theory of Electrical Signal Transmission in the Presence of Obstacles (IL, Moscow, 1953) [in Russian].
V. I. Tikhonov, Statistical Radio Engineering (Radio i Svyaz’, Moscow, 1982) [in Russian].
M. J. Buckingham, Noise in Electronic Devices and Systems (Ellis Horwood Pub., 1983).
N. N. Kolachevskii, Fluctuation Processes in Ferromagnetic Materials (Nauka, Moscow, 1985) [in Russian].
A. S. Tripalin and S. I. Builo, Acoustic Emission. Physico-Mechanical Aspects (Izdat. Rostov University, Rostov-on-Don, 1986) [in Russian].
Yu. L. Levkovskii, The Structure of Cavity Flows (Sudostroyenie, Leningrad, 1978) [in Russian].
B. R. Levin and V. Shvarts, Probability Models and Methods in Communication and Control Systems (Radio i Svyaz’, Moscow, 1985) [in Russian].
A. I. Krasil’nikov, “Canonical Representation of the Characteristic Function of Poisson Pulsed Processes,” Elektronika i Svyaz’, No. 25, 33 (2005).
M. Kendall and A. Stuart, Distribution Theory (Hafner, New York, 1958).
B. G. Marchenko, Method of Stochastic Integral Representations and its Applications in Radio Engineering (Naukova Dumka, Kyiv, 1973) [in Russian].
A. E. Andreikiv and N. V. Lysak, The Acoustic Emission Method in Studies of Destruction Processes (Naukova Dumka, Kyiv, 1989) [in Russian].
R. O. Krasnovskii and M. V. Chernopyzhskii, Modern Methods and Acoustic Emission Measurement Instrumentation. Review Data (Gosstandart SSSR, Moscow, 1987) [in Russian].
R. Deutsch, Nonlinear Transformations of Random Processes (Prentice-Hall, Englewood. Cliffs, 1962).
T. A. Gorovetskaya and A. I. Krasil’nikov, “Cumulative Analysis of 1/f Noise,” Elektronika i Svyaz’ 41, No. 6, 5 (2007).
V. S. Beregun and O. I. Krasylnikov, “Errors of Experimental Determination of Probability Densities of Ergodic Random Processes Using their Orthogonal Representation,” Elektronika i Svyaz’ 48, No. 1, 5 (2009).