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Effect of harmonic noise on the estimation of the mean value of a signal with reduction of its sampling frequency

  • Analysis and Synthesis of Signals and Images
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Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

The effect of reduction of the signal sampling frequency by the signal mean value in the case of superposition of a harmonic noise component onto the original steady stochastic signal is studied. Conditions under which reduction of the observation frequency of this process significantly changes the observed mean values are found. In this regard, a number of statements are formulated and proved. The consequences of a reduction of the observation frequency of the dynamometer signal for the experiment performed in an ice basin with a tanker hull model are considered..

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References

  1. K. E. Sazonov, Theoretical Foundations of Ice Navigation (Krylov State Research Center Press, St.-Petersburg, 2010) [in Russian].

    Google Scholar 

  2. S. Loset, K. N. Shkhinek, O. T. Gudmestad, and K. V. Hoyland, Actions from Ice on Arctic Offshore and Coastal Structures (Saint-Petersburg, 2006) [in Russian].

    Google Scholar 

  3. L. N. Smirnov and N. V. Bol’shev, Tables of Mathematical Statistics (Nauka, Moscow, 1983) [in Russian].

    MATH  Google Scholar 

  4. V. V. Gubarev, “Random Functions with Nonlinear Regression and Their Application,” Avtometriya 47(6), 39–50 (2011) [Optoelectron., Instrum. Data Process. 47 (6), 556–566 (2011)].

    Google Scholar 

  5. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series, Sums, and Products (Nauka, Moscow, 1971) [in Russian].

    Google Scholar 

  6. Statistics, Handbook of Applicable Mathematics, Ed. by W. Lederman and E. Lloyd (Wiley, New York, 1984).

    Google Scholar 

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Correspondence to P. N. Zvyagin.

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Original Russian Text © P.N. Zvyagin, 2013, published in Avtometriya, 2013, Vol. 49, No. 2, pp. 22–29.

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Zvyagin, P.N. Effect of harmonic noise on the estimation of the mean value of a signal with reduction of its sampling frequency. Optoelectron.Instrument.Proc. 49, 124–130 (2013). https://doi.org/10.3103/S8756699013020039

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  • DOI: https://doi.org/10.3103/S8756699013020039

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