Managing multifractal properties of the binary sequence generated with the Markov chains

2020

Full text Open access: Gold Metadata (CSL-JSON)
DOI 10.32782/cmis/2608-49
Data confidence 70 medium
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Abstract

With the development of modern telecommunications systems and the exponential growth in the demand for information transmission, there is a constant lack of bandwidth for the available telecommunication channels under the management of routers and communicators, because it is necessary to distribute the load of the network segments taking into account their self-similar nature of the traffic.Now, it is not possible to analytically build criteria and algorithms for optimal traffic management to ensure QoS measurements.The correspondence of the practical results with the theoretical ones was experimentally confirmed, although non-standard metric of the coverage measure expression was used in the derivation of analytical dependencies.That's why it was decided to develop theoretical method and provide experimental confirmation using conventional methods of estimating the time series' fractal dimension.The actual possibilities of adjusting the Hearst index on a given time scaling were established as a result of the numerical experiment.The obtained time series with the help of a cascade binary sequence generator have multifractal properties.That is, the cascade generator has more possibilities for receiving traffic, which will correspond to the examples of binary traffic in real telecommunication networks.However, the cascade generator requires further theoretical study to analytically express the coefficients to obtain the desired fractal characteristics and flow intensity.