Vol. 14, no.2, 2022


Information Technologies Based on Noise-like Signals: II. Statistical and Fractal Properties of Chaotic Algorithms

Vadim V. Kashin, Vladimir I. Grachev, Viktor I. Ryabenkov, Vladimir V. Kolesov

Kotelnikov Institute of Radioengineering and Electronics of RAS, http://www.cplire.ru/
Moscow 125009, Russian Federation
E-mail: vvkashin@cplire.ru, grachev@cplire.ru, ryabenkov.vi@list.ru, kvv@cplire.ru

Received June 11, 2022, peer-reviewed June 18, 2022, accepted June 25, 2022

Abstract:: On the basis of nonlinear systems with dynamic chaos, discrete chaotic signals with high information capacity have been developed and studied. The influence of the main parameters of a generating chaotic algorithm with delay on the statistical, correlation, structural and fractal characteristics of non-periodic pseudo-random integer and binary sequences generated by the algorithm is analyzed by numerical methods. It is shown that non-periodic pseudo-random sequences (PRS) generated by a chaotic algorithm with delay, for all values of the main parameters, have good statistical, correlation, structural and fractal characteristics, close to random sequences of independent trials. It is shown that these characteristics are provided on a long PRS cycle in a multidimensional phase space for all the main parameters of the chaotic algorithm and an arbitrary choice of initial conditions. Such binary PRSs can be quite effectively used in telecommunication systems using streaming coding of large blocks of information messages from the point of view of secrecy, noise immunity and cryptographic stability of the communication channel.

Keywords: information technology, chaotic dynamics, pseudorandom sequences, redundant codes, noise-like signals

UDC 621.391

RENSIT, 2022, 14(2):151-164e DOI: 10.17725/rensit.2022.14.151.

Full-text electronic version of this article - web site http://en.rensit.ru/vypuski/article/444/14(2)151-164e.pdf