Volterra transfer functions in analysis of the stochastic filter driven by harmonic plus gaussian noise input

Authors

  • O.I. Kharchenko
  • V.M. Kartashov

DOI:

https://doi.org/10.30837/rt.2019.1.196.11

Keywords:

minimum shift keying, stochastic resonance, Volterra series, Volterra transfer functions, Gaussian noise

Abstract

The work is a continuation of the cycle of studies of nonlinear systems at various input effects. Previously, cases of harmonic input signal, white Gaussian noise were considered. In present paper a stochastic filtering of the minimum shift keying waveform is considered. The equation of a stochastic resonance is solved by means of Volterra series in case of harmonics plus Gaussian noise input. The solution is based on Volterra transfer functions.

References

Wiener N. Nonlinear Problems in Random Theory. Cambridge, Mass.Technology Press; and New York Wiley, 1958.

Bedrosian E., Rice S. The Output Properties of Volterra Systems (Nonlinear Systems with Memory) Driven by Harmonic and Gaussian Inputs // IEEE. 1971. Vol. 59, No 12. P.58–82.

Pupkov K. A., Kapalin V. I., Yushchenko A.S. Funktsional'nyye ryady v teorii nelineynykh sistem. Moskva : Nauka, 1978. 448p. (in Rus.).

Zernov N.V., Karpov V.G. Teoriya radiotekhnicheskikh tsepey. Moskva ; Leningrad : Energiya, 1965. 816 p. (in Rus.).

Voloshchuk Yu. I. Pidruchnik dla studentiv vich. navch. zakladiv. Kharkiv : TOV “Kompania CMIT”, 2005. T.3. 228 p. (in Russian).

Anishchenko V. S., Neiman A. B., Moss F., Schimansky-Geier L. Stochastic resonance: noise-enhanced order // Uspekhi Fizicheskikh Nauk, Russian Academy of Sciences. 1999. 42(1)7-36. P.7-34.

Xiaofei Zhang, Niaoqing Hu, Zhe Cheng. Stochastic resonance in multi-scale bistable array // Physics Letter A 377. 2013. P. 981-984.

Sklar B. Digital Communication. Fundamentals and Applications, Second Edition. Prentice Hall PTR, 2003. 1099 p.

Kharchenko O., Lonin Yu.F., Ponomaryov A.G.. Frequency analysis of the stochastic filtering using transfer function. Part I. Sinusoidal input // Problems of atomic lposcience and technology. 2018. № 4: Series “Plasma Physics”. Issue 116. Р.249-252.

Kharchenko O. Ispol'zovaniye apparata peredatochnykh funktsiy Vol'tera v reshenii zadachi stokhasticheskoi filtracii s vhodnym signalom v vide belogo Gaussova shuma [Using of Volterr’s Transfer Functions in Solving the Problem of Stochastic Filtration with Input Signal in the Form of White Gaussian Noise] // Visnik NTUU KPI Seriia Radiotekhnika Radioaparatobuduvannia. 2018. Iss. 73. P. 11 – 16. (in Rus.).

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How to Cite

Kharchenko, O., & Kartashov, V. (2019). Volterra transfer functions in analysis of the stochastic filter driven by harmonic plus gaussian noise input. Radiotekhnika, 1(196), 89–97. https://doi.org/10.30837/rt.2019.1.196.11

Issue

No. 196 (2019): Radiotekhnika

Section

Articles

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