Ya.Ya. Levin1

1 SUAI (St. Petersburg, Russia)

Problem statement. At present, the properties of a separate type of pseudorandom signals such as fractal Gaussian noise remain insufficiently investigated. The existing discrete model of fractal Gaussian noise is characterized by the value of the Hurst exponent and the time scaling factor, the influence of which on the properties of fractal Gaussian noise is insufficiently investigated. The issue of synthesis of new types of fractal broadband signals of complex design, which can be used in noise-resistant telecommunication systems, is relevant.

Objective. Based on the mathematical model of fractal Gaussian noise, investigate the effect of the time scaling factor on the statistical, correlation and energy properties of fractal Gaussian noise signals.

Results. By the method of averaging over realizations the dependences of energy, correlation and statistical properties of signals of fractal Gaussian noise type, which can be used for coding information bits, on the time scaling factor were obtained.

Practical significance. According to the results of research on the properties of fractal Gaussian noise, the regularities of the passage of self-similar flows of Internet traffic in the approximation that they are self-similar and are described by a mathematical model of fractal Gaussian noise are established. When the intensity is increased up to requests/hour, the results of modeling the average transit time of traffic through the system for flows with different types of distribution show significant differences in the value of the average transit time of each request.

Levin Ya.Ya. Features of application of fractal Gaussian noise type signals in telecommunication systems. Radiotekhnika. 2023. V. 87. № 6. P. 41−49. DOI: https://doi.org/10.18127/j00338486-202306-05 (In Russian)

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