Polygaussian Description of Probability Distributions of Processes Generated by a Nonlinear Lorenz System Implemented in Fixed-point Numbers
Year: 2024
Type: article
Abstract: The article is aimed at analyzing the probability distributions of pseudorandom processes generated on the basis of the Lorentz system solution in fixed-point numbers. Numerical solution of the Lo-renz system by the Euler method in single- and double-precision floating-point numbers with a lim-ited number capacity can lead to a breakdown in signal generation. The use of fixed-point numbers contributes to the reduction of computational complexity in the digital implementation of such sys-tems, which ultimately leads to the simplification of their practical implementation on modern chips of programmable logic. This allows to use resources in more efficient way, and increases productiv-ity in the creation and maintenance of such digital systems. The study of approximation of Lorenz system signals using mixtures of Gaussian distributions is of great importance for predictive analyt-ics and stability of the system. Elimination of signal generation failure also contributes to the for-mation of stable modes of generation of chaotic signals with required statistical characteristics.
Source: Infokommunikacionnye tehnologii
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405002644