{"id":2237,"date":"2021-01-18T19:32:12","date_gmt":"2021-01-18T17:32:12","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=2237"},"modified":"2021-02-16T14:31:13","modified_gmt":"2021-02-16T12:31:13","slug":"%d0%b3%d0%b5%d0%bd%d0%b5%d1%80%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-%d1%88%d0%b8%d1%80%d0%be%d0%ba%d0%be%d1%81%d0%bc%d1%83%d0%b3%d0%be%d0%b2%d0%b8%d1%85-%d1%85%d0%b0%d0%be%d1%82%d0%b8%d1%87%d0%bd%d0%b8","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=2237","title":{"rendered":"\u0413\u0435\u043d\u0435\u0440\u0443\u0432\u0430\u043d\u043d\u044f \u0448\u0438\u0440\u043e\u043a\u043e\u0441\u043c\u0443\u0433\u043e\u0432\u0438\u0445 \u0445\u0430\u043e\u0442\u0438\u0447\u043d\u0438\u0445 \u0441\u0438\u0433\u043d\u0430\u043b\u0456\u0432 \u0434\u043b\u044f \u043f\u0440\u0438\u0445\u043e\u0432\u0430\u043d\u043e\u0457 \u043f\u0435\u0440\u0435\u0434\u0430\u0447\u0456 \u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u0457 \u0432 \u0442\u0435\u043b\u0435\u043a\u043e\u043c\u0443\u043d\u0456\u043a\u0430\u0446\u0456\u0439\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u0430\u0445"},"content":{"rendered":"

<\/p>\n

\u0413\u0415\u041d\u0415\u0420\u0423\u0412\u0410\u041d\u041d\u042f \u0428\u0418\u0420\u041e\u041a\u041e\u0421\u041c\u0423\u0413\u041e\u0412\u0418\u0425 \u0425\u0410\u041e\u0422\u0418\u0427\u041d\u0418\u0425 \u0421\u0418\u0413\u041d\u0410\u041b\u0406\u0412 \u0414\u041b\u042f \u041f\u0420\u0418\u0425\u041e\u0412\u0410\u041d\u041e\u0407 \u041f\u0415\u0420\u0415\u0414\u0410\u0427\u0406 \u0406\u041d\u0424\u041e\u0420\u041c\u0410\u0426\u0406\u0407 \u0412 \u0422\u0415\u041b\u0415\u041a\u041e\u041c\u0423\u041d\u0406\u041a\u0410\u0426\u0406\u0419\u041d\u0418\u0425 \u0421\u0418\u0421\u0422\u0415\u041c\u0410\u0425<\/p>\n

GENERATION OF BROADBAND CHAOTIC SIGNALS FOR HIDDEN TRANSMISSION OF INFORMATION IN TELECOMMUNICATION SYSTEMS<\/p>\n

 
\n<\/a>
\n\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 192-198. \u041d\u043e\u043c\u0435\u0440: \u21164, 2020 (287)<\/strong><\/p>\n

\u0410\u0432\u0442\u043e\u0440\u0438:<\/strong>
\nM.\u041e. \u0421\u041b\u041e\u0411\u041e\u0414\u042f\u041d, \u0410.\u0410. \u0422\u0410\u0420\u0410\u041d\u0427\u0423\u041a, \u0412.\u0404. \u0413\u0410\u0412\u0420\u041e\u041d\u0421\u042c\u041a\u0418\u0419
\n\u0425\u043c\u0435\u043b\u044c\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442<\/p>\n

M. SLOBODIAN, A. TARANCHUK, V. GAVRONSKIY
\nKhmelnytskyi National University<\/p>\n

DOI:<\/strong> https:\/\/www.doi.org\/10.31891\/2307-5732-2020-287-4-192-198<\/a><\/p>\n

\u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review : <\/strong>19.10.2020 \u0440.
\n\u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed : <\/strong>06.11.2020 \u0440.<\/p>\n

 <\/p>\n

\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n

\u00a0 \u00a0 \u00a0\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u0438\u0441\u0432\u044f\u0447\u0435\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u043e\u043c\u0443 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044e \u0433\u0435\u043d\u0435\u0440\u0430\u0442\u043e\u0440\u0430 \u0448\u0438\u0440\u043e\u043a\u043e\u0441\u043c\u0443\u0433\u043e\u0432\u0438\u0445 \u0445\u0430\u043e\u0442\u0438\u0447\u043d\u0438\u0445 \u043a\u043e\u043b\u0438\u0432\u0430\u043d\u044c \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u043a\u043b\u0430\u0441\u0438\u0447\u043d\u043e\u0457 \u043d\u0435\u043b\u0456\u043d\u0456\u0439\u043d\u043e\u0457 \u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u043e\u0457 \u0441\u0438\u0441\u0442\u0435\u043c\u0438 \u041b\u043e\u0440\u0435\u043d\u0446\u0430. \u041d\u0430 \u0431\u0430\u0437\u0456 \u0434\u0432\u043e\u0445 \u0441\u0438\u043d\u0445\u0440\u043e\u043d\u043d\u043e \u0437\u0432\u2019\u044f\u0437\u0430\u043d\u0438\u0445 \u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0438\u0445 \u0433\u0435\u043d\u0435\u0440\u0430\u0442\u043e\u0440\u0456\u0432 \u041b\u043e\u0440\u0435\u043d\u0446\u0430 \u0431\u0443\u043b\u0430 \u043f\u043e\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u0430 \u043c\u043e\u0434\u0435\u043b\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0438 \u043f\u0435\u0440\u0435\u0434\u0430\u0447\u0456 \u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u0457 \u0437 \u0445\u0430\u043e\u0442\u0438\u0447\u043d\u0438\u043c \u043c\u0430\u0441\u043a\u0443\u0432\u0430\u043d\u043d\u044f\u043c \u0434\u043e\u0432\u0456\u043b\u044c\u043d\u043e\u0433\u043e \u0432\u0443\u0437\u044c\u043a\u043e\u0441\u043c\u0443\u0433\u043e\u0432\u043e\u0433\u043e \u0441\u0438\u0433\u043d\u0430\u043b\u0443 \u0448\u0438\u0440\u043e\u043a\u043e\u0441\u043c\u0443\u0433\u043e\u0432\u0438\u043c \u0445\u0430\u043e\u0442\u0438\u0447\u043d\u0438\u043c \u0441\u0438\u0433\u043d\u0430\u043b\u043e\u043c. \u0427\u0438\u0441\u0435\u043b\u044c\u043d\u0438\u0439 \u0440\u043e\u0437\u0432\u2019\u044f\u0437\u043e\u043a \u0434\u0438\u0444\u0435\u0440\u0435\u043d\u0446\u0456\u0430\u043b\u044c\u043d\u0438\u0445 \u0440\u0456\u0432\u043d\u044f\u043d\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0438 \u0442\u0430 \u0430\u043c\u043f\u043b\u0456\u0442\u0443\u0434\u043d\u0438\u0439 \u0441\u043f\u0435\u043a\u0442\u0440 \u0432\u0438\u0445\u0456\u0434\u043d\u043e\u0433\u043e \u0441\u0438\u0433\u043d\u0430\u043b\u0443 \u0445\u0430\u043e\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0433\u0435\u043d\u0435\u0440\u0430\u0442\u043e\u0440\u0430 \u0431\u0443\u043b\u043e \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0430\u043d\u043e \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u043e\u0433\u043e \u0437\u0430\u0431\u0435\u0437\u043f\u0435\u0447\u0435\u043d\u043d\u044f Matlab. \u0417 \u043c\u0435\u0442\u043e\u044e \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u043d\u044f \u0437\u043c\u0456\u043d\u0438 \u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u043e\u0433\u043e \u0440\u0435\u0436\u0438\u043c\u0443 \u0437\u0430\u043b\u0435\u0436\u043d\u043e \u0432\u0456\u0434 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0456\u0432 \u043c\u043e\u0434\u0435\u043b\u0456 \u0431\u0443\u043b\u043e \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0430\u043d\u043e \u0441\u043f\u0435\u043a\u0442\u0440 \u043f\u043e\u043a\u0430\u0437\u043d\u0438\u043a\u0456\u0432 \u041b\u044f\u043f\u0443\u043d\u043e\u0432\u0430 \u0442\u0430 \u043f\u043e\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u043e \u0434\u0456\u0430\u0433\u0440\u0430\u043c\u0443 \u0431\u0456\u0444\u0443\u0440\u043a\u0430\u0446\u0456\u0439. \u041c\u043e\u0434\u0435\u043b\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0438 \u0441\u0438\u043d\u0445\u0440\u043e\u043d\u0456\u0437\u0430\u0446\u0456\u0457 \u0437\u0432\u2019\u044f\u0437\u0430\u043d\u0438\u0445 \u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u0442\u0430 \u043c\u043e\u0434\u0435\u043b\u044c \u0433\u0435\u043d\u0435\u0440\u0430\u0442\u043e\u0440\u0430 \u0432\u0443\u0437\u044c\u043a\u043e\u0441\u043c\u0443\u0433\u043e\u0432\u0438\u0445 \u0441\u0438\u0433\u043d\u0430\u043b\u0456\u0432 \u0437 \u0434\u043e\u0432\u0456\u043b\u044c\u043d\u0438\u043c \u0442\u0438\u043f\u043e\u043c \u043c\u043e\u0434\u0443\u043b\u044f\u0446\u0456\u0457 \u0431\u0443\u043b\u0438 \u043f\u043e\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u0456 \u0432 \u0441\u0435\u0440\u0435\u0434\u043e\u0432\u0438\u0449\u0456 \u0456\u043c\u0456\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f Simulink.
\n\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u0445\u0430\u043e\u0441, \u0445\u0430\u043e\u0442\u0438\u0447\u043d\u0435 \u043c\u0430\u0441\u043a\u0443\u0432\u0430\u043d\u043d\u044f, \u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0456 \u0441\u0438\u0441\u0442\u0435\u043c\u0438, \u0441\u0438\u043d\u0445\u0440\u043e\u043d\u0456\u0437\u0430\u0446\u0456\u044f.<\/p>\n

 <\/p>\n

\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n

\u00a0 \u00a0 \u00a0The article is devoted to mathematical modelling of a broadband chaotic oscillation generator based on the classical nonlinear Lorentz dynamical system. A model of the information transmission system with chaotic masking of an arbitrary narrowband signal by a broadband chaotic signal was built on the basis of two synchronously connected Lorentz dynamic generators. The numerical solution of the system’s differential equations and the amplitude spectrum of the output signal of the chaotic generator were calculated using Matlab software. In order to study the change in the dynamic regime depending on the parameters of the model, the spectrum of Lyapunov exponents was calculated and a bifurcation diagram was constructed. The model of the synchronization system of coupled dynamic systems and the model of the narrowband signal generator with any type of modulation were built in the Simulink software.
\nKeywords<\/strong>: chaos, chaotic masking, dynamic systems, synchronization.<\/p>\n

 <\/p>\n

References<\/strong><\/p>\n

    \n
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