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Journal of Automation and Information Sciences

年間 12 号発行

ISSN 印刷: 1064-2315

ISSN オンライン: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Characteristics of Mathematical Modelling for the Internet of Things System

巻 52, 発行 1, 2020, pp. 13-21
DOI: 10.1615/JAutomatInfScien.v52.i1.20
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要約

The current stale and prospects of development of Internet of Things networks are analyzed. Methods for providing connection of a large number of devices, and simultaneous transmission of the information received from them are determined. It was found that these methods face the problem of distortion of the signal due to inter-channel interference, which can manifest itself as a noise. Spline models are used to reduce this kind of interference in information processing and transmission systems. On the basis of the scientific literature analysis, it has been determined that there are properties of signals, without which the setting of many tasks of signal processing itself makes no sense. Such properties of information signals are their properties of smoothness, which characterize the behavior of the signal in some neighborhood of an arbitrary point, which belongs to the interval of the signal. These properties contain information about the existence of a certain number of continuous derivatives of the investigated signal, as well as information on some of the analytical properties of these derivatives. On the basis of this theory, a mathematical model of information signals based on fundamental trigonometric splines is developed and substantiated, which allows one to take into account the differential properties of information signals. It is proved that in the role of mathematical models of information signals it is efficient to use trigonometric splines, and for the restoration of signals as components of filters, it is efficient to apply fundamental approximation trigonometric splines. On the basis of mathematical modeling of the system operation process, the dependence of estimating the error probability on the number of channels was investigated and it was established that with an increase number of channels, the level of inter-channel noise increases, which leads to an increase in the probability of error. The application of these models in information processing methods to improve the performance of the Internet of Things information network is provided.

参考
  1. Want R., Schilit B.N., Jenson S., Enabling the Internet of Things, Computer, 2015, 48, No. 1, 28-35, DOI: 10.1109/MC.2015.12. .

  2. Boyko I.F., Gordeev M.G., Kutin A.I., Transmission and reception of digital signals in spline bases, Elektronika i sistemy upravleniya, 2012, No. 3 (33), 5-12, DOI: 10.18372/1990-5548.33.5481. .

  3. Bica A.M., Popescu C., Fuzzy spline interpolation with optimal property in parametric form, Information Sciences, 2013, 236, 138-155, DOI: 10.1016/j.ins.2013.02.047. .

  4. Panchenko I.V., Voskolovich O.I., Churilov I.O., Koltovskov D.G., Model for calculating the probability and bit error in low-speed data transmission systems LORA [in Ukrainian], Sbornik nauchnykh trudov Voyennogo instituta telekommunikatsiy i informatizatsii, 2018, No. 1, 73-76. .

  5. Negodenko O., Denysiuk V., Mathematical models on the basis of fundamental trigonometric splines, Science and Education a New Dimension. Natural and Technical Sciences, 2018, VI (18), No. 158, 14-18, DOI: 10.31174/SEND-NT2018-158VI18. .

  6. Denisyuk V.P., Trigonometric rows and splines [in Ukrainian], NAU, Kyiv, 2017. .

  7. Denisyuk V.P., Fundamental functions and trigonometric splines: monograph [in Ukrainian], PAT "Vipol", Kyiv, 2015. .

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