Non-Linear Transformations of Stochastic Processes

Non-Linear Transformations of Stochastic Processes focuses on the approaches, methodologies, transformations, and computations involved in the non-linear transformations of stochastic processes.The selection first underscores some problems of the theory of stochastic processes and the transmission of random functions through non-linear systems.Discussions focus on the transformation of moment functions for the general non-linear transformation; conversion formulas for correlation functions; transformation of moment functions for the simplest type of non-linear transformation; and normalization of the linear system of probability distribution laws. The text then ponders on quasi-moment functions in the theory of random processes and correlation functions in the theory of the Brownian motion generalization of the Fokker-Planck equation.The manuscript elaborates on the correlation functions of random sequences of rectangular pulses; method of determining the envelope of quasi-harmonic fluctuations; and the problem of measuring electrical fluctuations with the aid of thermoelectric devices. The book then examines the effect of signal and noise on non-linear elements and the approximate method of calculating the correlation function of stochastic signals.The selection is a dependable source of information for researchers interested in the non-linear transformations of stochastic processes.Non-Linear Transformations of Stochastic Processes is written by Author and published by Pergamon. ISBNs for Non-Linear Transformations of Stochastic Processes are 9781483282688, 1483282686 and the print ISBNs are 9781483232300, 1483232301.