THE DETERMINISTIC CHAOS OSCILLATOR BASED ON A FIELD-EFFECT TRANSISTOR STRUCTURE WITH NEGATIVE RESISTANCE FOR TELECOMMUNICATIONS SYSTEMS
Background. Application of deterministic chaos oscillators in telecommunication systems requires knowledge about their dynamical properties. Mathematical models and phase portraits of such generators are well known. However, common theory of the deterministic chaos oscillators was developed without noise. At the same time, these oscillators are applied in
telecommunication systems at presence of both external and intrinsic noises. Therefore, researching the noise impact on oscillation dynamics in the deterministic chaos oscillator is an actual applied scientific task.
Objective. Creating the mathematical models of the Kiyashko-Pikovsky-Rabinovich-type deterministic chaos oscillator based on a FET structure with negative resistance at presence and at absence of additive white noise.
Methods. Chaotic oscillation dynamics in the oscillator was examined on a base of the well known mathematical model of Kiyashko-Pikovsky-Rabinovich and the non-linear approximation of the FET structure’s static current-voltage characteristic using the hyperbolic tangent function. The results of the deterministic chaos oscillator mathematical simulation at presence of additive white noise were obtained. The additive white noise impact on generated chaotic oscillation’s dynamics and parameters was researched.
Results. The phase portraits, time and frequency dependences for the oscillation in the deterministic chaos oscillator based on a FET structure with negative resistance at presence and at absence of additive white noise have been obtained.
Conclusions. The results of chaotic oscillation dynamics numerical simulation at presence of white noise confirm the high noise immunity of the deterministic chaos oscillator based on a FET structure with negative resistance.
M. P. Kennedy, R. Rovatti, and G. Setti. Chaotic Electronics in Telecommunications. – London: CRC Press, 2000. – 447 p.
O primenenii chaoticheskoy synchronyzatsii dlya skrytoy peredachi informatsii / A.A. Koronovskii, O.I. Moskalenko, and A.E. Hramov // Uspekhi Fizicheskikh Nauk. – 2009. – No 179 (12). – P. 1281-1310 [in Russian].
Statisticheskie svostva dynamicheskogo chaosa / V.S. Anishchenko, T.E. Vadivasova, G.A. Okrokvertskhov, and G.I. Strelkova // Uspekhi Fizicheskikh Nauk. – 2005. – No 175 (2). – P. 163-179 [in Russian].
Vliyanie shuma na avtogenerator spiralnogo chaosa / A.S. Zakharova, T.E. Vadivasova, and V.S. Anishchenko // Izvestie vuzov Prikladnaya Nelineynaya Dinamica. – 2005. – Vol. 14, No 5. – P. 44-61 [in Russian].
USSR Patent 698118, H 03 B 29/00. The random signals oscillator / S.V. Kiyashko, A.S. Pikovsky and M.I. Rabinovich // Claim 23.03.1978; Print 15.11.1979. Vol. №42, 1979. – 3 p. [in Russian].
S.P. Kuznetsov. Dynamical Chaos. Second Edition. – Moscow: Fizmatlit, 2006. – 295 p [in Russian].
Mathematical simulation of the chaotic oscillator based on a field-effect transistor structure with negative resistance / Andriy Semenov // 2016 IEEE 36th International Conference on Electronics and Nanotechnology (ELNANO), Kyiv, Ukraine, April 19-21, 2016. – Kyiv: National Technical
University of Ukraine "Kyiv Polytechnic Institute", 2016. – P. 52–56.
Umesh Kumar, “A complication of negative resistance circuits generated by two novel algorithms,” Active and Passive Elec. Comp., Vol. 25, 2002, pp. 211–214.
Reviewing the Mathematical Models and Electrical Circuits of Deterministic Chaos Transistor Oscillators / Andriy Semenov // Proceedings of the International Siberian Conference on Control and Communications (SIBCON). – Moscow: National Research University "Higher School of Economics". Russia, Moscow, May 12−14, 2016.
I.O. Anisimov. Kolyvannya ta chvyli. Navchalnyy posibnyk. – Kyiv: Press of the Taras Shevchenko National University of Kyiv, 2001. – 218 p [in Ukraine].
The Van der Pol’s Mathematical Model of the Voltage-Controlled Oscillator Based on a Transistor Structure With Negative Resistance / Andriy Semenov // Proceedings of the XIII International Conference Modern problems of radio engineering, telecommunications, and
computer science (TCSET-2016), Lviv-Slavsko, Ukraine, February 23–26, 2016. – P. 100-104.
The Chaos Oscillator with Inertial Non-Linearity Based on a Transistor Structure with Negative Resistance / Andriy O. Semenov, Alexander V. Osadchuk, Iaroslav A. Osadchuk, Kostyantyn O. Koval, and Maksym O. Prytula // Proceedings of the 17th International Conference of Young
Specialists on Micro/Nanotechnologies and Electron Devices EDM 2016, Erlagol, Altai, Russia, 30 June - 4 July, 2016. – P. 178-184.
- There are currently no refbacks.