Modeling of information channel by using of pseudorandom signals of nonlinear dynamical system

Pseudorandom signals of nonlinear dynamical systems are studied and the possibility of their application in information systems analyzed. Continuous and discrete dynamical systems are considered: Lorenz System, Bernoulli and Henon maps. Since the parameters of dynamical systems (DS) are included in the equations linearly, the principal possibility of the state linear control of a nonlinear DS is shown. The correlation properties comparative analysis of these DSs signals is carried out.. Analysis of correlation characteristics has shown that the use of chaotic signals in communication and radar systems can significantly increase their resolution over the range and taking into account the specific properties of chaotic signals, it allows them to be hidden. The representation of nonlinear dynamical systems equations in the form of stochastic differential equations allowed us to obtain an expression for the likelihood functional, with the help of which many problems of optimal signal reception are solved. It is shown that the main step in processing the received message, which provides the maximum likelihood functionals, is to calculate the correlation integrals between the components and the systems under consideration. This made it possible to base the detection algorithm on the correlation reception between signal components. A correlation detection receiver was synthesized and the operating characteristics of the receiver were found.

ANALOG-DIGITAL CONVERSION MONTE-CARLO IN FACILITIES OF MEASURING AND TREATMENT OF VIBRATION SIGNALS

Application of method of analog-digital conversion of Monte Carlo is grounded as such, that allows considerably to extend the spectral bar of signal of conversion n in the class of integrating converters. Application of methods of generation of pseudorandom signals is offered on the basis of recursive and with the mirror mutual reflection of binary digits generators. High-quality descriptions and type of distributing are definite as even. Methods are developed and the structures of analog-digital converters are resulted, and also sentinel diagrams of their functioning. Directions and applied tasks of effective application of method of Monte Carlo are definite.