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Fragment of time implementation sequence that is generated by the nonlinear chaotic algorithm

Digital generation of wideband chaotic signal with the comb-shaped spectrum for communication systems based on spectral manipulation

Konstantin A. Lukin, Oleg V. Zemlyaniy


An algorithm for the digital generation of broadband chaotic signal with comb-shaped spectrum has been developed on the basis of nonlinear discrete system with delay. The data transmission method using the spectral manipulation technique with digital generation and processing was experimentally implemented. The results obtained can be utilized in the systems of transmitted data security from unauthorized access.


digital generation of chaotic signals; dynamical system with delayed feedback; arbitrary waveform generator; AWG; spectral manipulation of chaotic signal; field-programmable gate array; FPGA; direct digital synthesis; DDS; digital signal processing; DSP

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VARAKIN, L.E. Communication Systems with Noise-Like Signals. Moscow: Radio i Svyaz’, 1985 [in Russian].

SCHUSTER, H.G. Deterministic Chaos: An Introduction. Weinheim: Physik-Verlag, 1984.

KISLOV, V.Y.; KISLOV, V.V. A new class of data transmission signals. Broadband chaotic signals. Radiotekh. Elektron., 1997, v.42, n.8, p.962-973.

KENNEDY, M.P.; ROVATTI, R.; SETTI, G. (eds.). Chaotic Electronics in Telecommunications. CRC Press, Boca Raton, 2000.

LUKIN, K.A. Noise radar technology. Telecom. Radio Eng., 2001, v.55, n.12, DOI:

KISLOV, V.Y.; KOLESOV, V.V.; BELYAEV, R.V. Application of chaotic signals in information technologies. Radioelektronika, Nanosistemy, Informatsyonniye Tekhnologii, 2009, v.1, n.1-2, p.23-32,

KISLOV, V.Y. Dynamic chaos and its use in radioelectronics for generation, reception and processing of oscillations and information. Radiotekh. Elektron., 1993, v.38, n.10, p.1783-1815.

BELYAEV, R.V.; VORONTSOV, G.M.; KISLOV, V.Y.; KOLESOV, V.V.; KRUPENIN, S.V.; POPOV, A.M.; RYABENKOV, V.I. Complex chaotic discrete signals in telecommunications, radar, and navigation systems. J. Commun. Technol. Electron., 2006, v.51, n.9, p.1052-1063, DOI:

LUKIN, K.A.; MAISTRENKO, Y.L.; SHARKOVSKII, A.N.; SHESTOPALOV, V.P. The difference equations method in a resonator problem with nonlinear reflector. DAN, 1989, v.309, n.2, p.327-331.

KUZNETSOV, S.P. Complex dynamics of oscillators with delayed feedback (review). Radiophys. Quantum Electron., 1982, v.25, n.12, p.996-1009, DOI:

DMITRIEV, A.S.; EFREMOVA, E.V.; NIKISHOV, A.Y. Generating dynamic microwave chaos in self-oscillating ring system based on complementary metal-oxide-semiconductor structure. Tech. Phys. Lett., 2010, v.36, n.5, p.430-432, DOI:

KAL’YANOV, E.V.; KISLOV, V.Y.; KYARGINSKII, B.E. Ring multistage self-oscillating system with chaotic dynamics. Radiotekhnika, 2005, n.3, p.41-45.

KOLESOV, V.V.; POTAPOV, A.A. The information technologies on dynamic chaos for telecommunication, radar and navigation systems. Electromagnetic Phenomena, 2005, v.5, n.2, p.91-104,

LUKIN, K.A. Millimeter-wave band noise radar. Telecom. Radio Eng., 2009, v.68, n.14, p.1229-1255, DOI:

ZEMLYANIY, O.V.; LUKIN, S.K. FPGA based design of random waveform generators for noise radars. Prikladnaya Radioelektronika, 2013, v.12, n.1, p.32-36.

LUKIN, K.A.; MOREIRA, J.R.; VYPLAVIN, P.L.; LUKIN, S.K.; ZEMLYANIY, O.V. FPGA based software defined noise radar. Prikladnaya Radioelektronika, 2013, v.12, n.1, p.89-94.

KARAVAEV, A.S.; PONOMARENKO, V.I.; SELEZNEV, E.P.; GLUKHOVSKAYA, E.E.; PROKHOROV, M.D. Digital system of hidden data transmission with delayed feedback. Tech. Phys. Lett., 2011, v.37, p.657, DOI:

D’YAKONOV, V.P. Generation and Signal Generators. Moscow: DMK Press, 2009 [in Russian].

GINI, FULVIO; DE MARIO, ANTONIO; PATTON, LEE K. (eds). Waveform Design and Diversity for Advanced Radar Systems. IET Radar, Sonar and Navigation, 2012.

ZEMLYANYI, O.V. Keying of the broadband chaotic signal spectrum for data transmission. Telecom. Radio Eng., 2016, v.75, n.5, p.401-411, DOI:

System Generator for DSP,

ZEMLYANYI, O.V. Correlation-spectral properties of chaos in the nonlinear dynamic system with delayed feedback and asymmetric nonlinear map. Telecom. Radio Eng., 2003, v.60, n.7-9, DOI:

DMITRIEV, A.S.; KISLOV, V.Y. Stochastic Oscillations in Radiophysics and Electronics. Moscow: Nauka, 1989 [in Russian].

IKEDA, K.; DAIDO, H.; AKIMOTO, O. Chaotic behavior of transmitted light from a ring cavity. Phys. Rev. Lett., 1980, v.45, n.9, p.709, DOI:

Arbitrary Waveform Generator — AWG472, http://

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