Analysis on the Basis of Volterra Series Signal–To–Noise Ratio of Nonlinear Device in the Conditions of the Stochastic Resonance Effect

Okcana Kharchenko; Vladislav Tyutyunnik

doi:doi:10.11648/j.jeee.20150303.11

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Analysis on the Basis of Volterra Series Signal–To–Noise Ratio of Nonlinear Device in the Conditions of the Stochastic Resonance Effect

Okcana Kharchenko, Vladislav Tyutyunnik

Published in Journal of Electrical and Electronic Engineering (Volume 3, Issue 3)

Received: 29 March 2015 Accepted: 11 April 2015 Published: 27 April 2015

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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.

Published in	Journal of Electrical and Electronic Engineering (Volume 3, Issue 3)
DOI	10.11648/j.jeee.20150303.11
Page(s)	25-29
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Stochastic Resonance (SR), Nonlinear System, Signal-to-Noise Ratio (SNR), Volterra Series

References

[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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APA Style

Okcana Kharchenko, Vladislav Tyutyunnik. (2015). 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, 3(3), 25-29. https://doi.org/10.11648/j.jeee.20150303.11

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ACS Style

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. J. Electr. Electron. Eng. 2015, 3(3), 25-29. doi: 10.11648/j.jeee.20150303.11

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AMA Style

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. J Electr Electron Eng. 2015;3(3):25-29. doi: 10.11648/j.jeee.20150303.11

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@article{10.11648/j.jeee.20150303.11,
  author = {Okcana Kharchenko and Vladislav Tyutyunnik},
  title = {Analysis on the Basis of Volterra Series Signal–To–Noise Ratio of Nonlinear Device in the Conditions of the Stochastic Resonance Effect},
  journal = {Journal of Electrical and Electronic Engineering},
  volume = {3},
  number = {3},
  pages = {25-29},
  doi = {10.11648/j.jeee.20150303.11},
  url = {https://doi.org/10.11648/j.jeee.20150303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20150303.11},
  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.},
 year = {2015}
}

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TY  - JOUR
T1  - Analysis on the Basis of Volterra Series Signal–To–Noise Ratio of Nonlinear Device in the Conditions of the Stochastic Resonance Effect
AU  - Okcana Kharchenko
AU  - Vladislav Tyutyunnik
Y1  - 2015/04/27
PY  - 2015
N1  - https://doi.org/10.11648/j.jeee.20150303.11
DO  - 10.11648/j.jeee.20150303.11
T2  - Journal of Electrical and Electronic Engineering
JF  - Journal of Electrical and Electronic Engineering
JO  - Journal of Electrical and Electronic Engineering
SP  - 25
EP  - 29
PB  - Science Publishing Group
SN  - 2329-1605
UR  - https://doi.org/10.11648/j.jeee.20150303.11
AB  - 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.
VL  - 3
IS  - 3
ER  -

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Author Information

Okcana Kharchenko

National Technical University “Kharkiv Polytechnic Institute?, Kharkiv, Ukraine
Vladislav Tyutyunnik

Scientific Center, Kharkiv Air Force University named I. Kozhedub, Kharkiv, Ukraine

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APA Style

Okcana Kharchenko, Vladislav Tyutyunnik. (2015). 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, 3(3), 25-29. https://doi.org/10.11648/j.jeee.20150303.11

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ACS Style

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. J. Electr. Electron. Eng. 2015, 3(3), 25-29. doi: 10.11648/j.jeee.20150303.11

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AMA Style

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. J Electr Electron Eng. 2015;3(3):25-29. doi: 10.11648/j.jeee.20150303.11

Copy | Download

@article{10.11648/j.jeee.20150303.11,
  author = {Okcana Kharchenko and Vladislav Tyutyunnik},
  title = {Analysis on the Basis of Volterra Series Signal–To–Noise Ratio of Nonlinear Device in the Conditions of the Stochastic Resonance Effect},
  journal = {Journal of Electrical and Electronic Engineering},
  volume = {3},
  number = {3},
  pages = {25-29},
  doi = {10.11648/j.jeee.20150303.11},
  url = {https://doi.org/10.11648/j.jeee.20150303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20150303.11},
  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.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Analysis on the Basis of Volterra Series Signal–To–Noise Ratio of Nonlinear Device in the Conditions of the Stochastic Resonance Effect
AU  - Okcana Kharchenko
AU  - Vladislav Tyutyunnik
Y1  - 2015/04/27
PY  - 2015
N1  - https://doi.org/10.11648/j.jeee.20150303.11
DO  - 10.11648/j.jeee.20150303.11
T2  - Journal of Electrical and Electronic Engineering
JF  - Journal of Electrical and Electronic Engineering
JO  - Journal of Electrical and Electronic Engineering
SP  - 25
EP  - 29
PB  - Science Publishing Group
SN  - 2329-1605
UR  - https://doi.org/10.11648/j.jeee.20150303.11
AB  - 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.
VL  - 3
IS  - 3
ER  -

Copy | Download