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A theoretical investigation of the stochastic filtering effect

  • Statistical Radiophysics
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Abstract

A first-order nonlinear radio filter with the monostable potential of the signal-noise interaction is investigated within the framework of the spectral approach. It is shown that, in the case when signal frequencies are not very high, a stationary solution to the equation describing the behavior of the filter can be sought for in the form of a Fourier series. The solution obtained in the study is used to explain the basic features of the stochastic signal filtering effect. As a result of this effect, the output signal-to-noise ratio exceeds its input value. Theoretical predictions are compared to experimental data.

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Authors and Affiliations

  1. Moscow State Institute of Radioengineering, Electronics, and Automation (Technical University), pr. Vernadskogo 78, Moscow, 117454, Russia

    S. A. Reshetnyak & G. N. Tret’yakov

Authors
  1. S. A. Reshetnyak
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  2. G. N. Tret’yakov
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Corresponding author

Correspondence to S. A. Reshetnyak.

Additional information

Original Russian Text © S.A. Reshetnyak, G.N. Tret’yakov, 2013, published in Radiotekhnika i Elektronika, 2013, Vol. 58, No. 4, pp. 360–366.

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Reshetnyak, S.A., Tret’yakov, G.N. A theoretical investigation of the stochastic filtering effect. J. Commun. Technol. Electron. 58, 318–324 (2013). https://doi.org/10.1134/S1064226913040141

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  • DOI: https://doi.org/10.1134/S1064226913040141

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