Volume 3, Issue 3, June 2015, Page: 25-29
Analysis on the Basis of Volterra Series Signal–To–Noise Ratio of Nonlinear Device in the Conditions of the Stochastic Resonance Effect
Okcana Kharchenko, National Technical University “Kharkiv Polytechnic Institute», Kharkiv, Ukraine
Vladislav Tyutyunnik, Scientific Center, Kharkiv Air Force University named I. Kozhedub, Kharkiv, Ukraine
Received: Mar. 29, 2015;       Accepted: Apr. 11, 2015;       Published: Apr. 27, 2015
DOI: 10.11648/j.jeee.20150303.11      View  4031      Downloads  182
Abstract
In this paper, the stochastic resonance effect is considered. It is shown that the stochastic resonance effect appears in the conditions of operating on the nonlinear system of additive mixture of desired signal and noise. The numerical simulation of the output signal when exposed to the input of the system of additive mixture harmonic signal and noise with a uniform distribution is given. Analytical relational expressions for signal-to-noise ratio on the output of the nonlinear system are got. The analysis of signal-to-noise ratio is conducted on the output of the nonlinear system depending on the parameters of the input signal and noise. In this paper we have shown the stochastic resonance effect occurs mainly at low frequencies.
Keywords
Stochastic Resonance (SR), Nonlinear System, Signal-to-Noise Ratio (SNR), Volterra Series
To cite this article
Okcana Kharchenko, Vladislav Tyutyunnik, Analysis on the Basis of Volterra Series Signal–To–Noise Ratio of Nonlinear Device in the Conditions of the Stochastic Resonance Effect, Journal of Electrical and Electronic Engineering. Vol. 3, No. 3, 2015, pp. 25-29. doi: 10.11648/j.jeee.20150303.11
Reference
[1]
Kharkevich A.A. Borba s pomekhami [Interference Contro]l, M: Nauka, 1965, 275 p. (in Russian)
[2]
Sklar B. Digital Communication. Fundamentals and Applications, Second Edition, Prentice Hall PTR, 2003, 1099 p. (in Russian)
[3]
Tikhonov V.I. Statisticheskay rediotechnika [Statistical Radioengineering], M: Sov. Radio, 1966, 678 p. (in Russian)
[4]
Anishenko V.S., Neman V.B., F., Gayer L. Stokhasticheskiy resonans kak indyshirovanay shumom effect uvelicheniy stepeni poraydka. [Stochastic resonance as induced by noise the effect of increasing the degree of order]. – Uspekhi fizicheskikh nayk, 1999, vol. 169, № 1, pp. 7–37. (in Russian)
[5]
Kharchenko O.I., Chumakov V.I., Sklyaruk V.L. K raschotu otklika nelineynoi sistemy s pemyatu s primeneniem rjaydov Volterra. [On the calculation response of the nonlinear system with memory response using the Voltaire series]. Zb. Nauk. prats AMVS,2010, vip. 3(3), pp. 110-115. . (in Russian
[6]
Geraschenko O.V. Stokhasticheskiy resonans v asimmetrichnoi bistabilnoy sisteme. [Stochastic resonance in an asymmetric bistable system]. Pisma v GTF, 2003, vol. 29, vyp. 6, pp.82-86. (in Russian)
[7]
Kharkevich A.A. Nelineynye i parametricheskiy ustroyctva. [Nonlinear and parametric devices]. M.: Gosudarstvenoe izd. tekhniko-teoreticheskoi literatury, 1955, 184 p. (in Russian)
[8]
Bedrosian E., Rice S. The Output Properties of Volterra Systems (Nonlinear Systems with Memory) Driven by Harmonic and Gaussian Inputs // IEEE.- Vol. 59, No 12.- 1971. – pp.58–82.
[9]
Levin B.R. Teoreticheskie osnovy statisticheskoi radiotekhniki. [Theoretical foundations of statistical radio engineering]. M: Sov. Radio, 1969, 752 p. (in Russian)
[10]
David Middleton, An Introduction to Statistical Communication Theory: An IEEE Press Classic Reissue, Wiley-IEEE Press, 1996.–1184 p. (in Russian)
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