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Median Chebyshev spectroscopy of electrochemical noise

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Abstract

An algorithm for analyzing electrochemical noise based on Chebyshev spectroscopy using the sample median is presented. Chebyshev spectroscopy with the sample median nicely complements Chebyshev spectroscopy with the sample mean. Chebyshev noise spectroscopy with the sample median can be used to distinguish between corrosion processes, which cannot be achieved using Chebyshev spectroscopy with the sample mean. This “median Chebyshev spectroscopy” can be effectively used to diagnose the electrochemical noise of corrosion systems and electrochemical power sources.

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References

  1. Astaf’ev MG, Kanevskii LS, Grafov BM (2007) Analyzing electrochemical noise with Chebyshev’s discrete polynomials. Russ J Electrochem 43:17–24

    Article  Google Scholar 

  2. Grafov BM, Dobrovol’skii YA, Davydov AD, Ukshe AE, Klyuev AL, Astaf’ev EA (2015) Electrochemical noise diagnostics: analysis of algorithm of orthogonal expansions. Russ J Electrochem 51:503–507

    Article  CAS  Google Scholar 

  3. Arley KR, Buch N (1950) Introduction to the theory of probability and statistics. Wiley, New York

    Google Scholar 

  4. Wilcox RR (2010) Fundamentals of modern statistical methods. Substantially improving power and accuracy. Springer, New York

    Book  Google Scholar 

  5. Nikiforov AF, Suslov SK, Uvarov VB (1991) Classical orthogonal polynomials of a discrete variable. Springer, Berlin

    Book  Google Scholar 

  6. Gogin N, Hirvensalo M (2007) On generating function of discrete Chebyshev polynomials. Technical Report No. 819. Turku Centre for Computer Science, Turku

  7. Klyuev AL, Grafov BM, Dobrovol’skii YA, Davydov AD, Ukshe AE (2015) Variability of discrete Chebyshev spectra of electrochemical noise. Russ J Electrochem 51:1180–1185

    Article  CAS  Google Scholar 

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Acknowledgments

We are grateful to the Directorate of Science and Technological Programs for its financial support of applied research into electrochemical noise diagnosis within the Federal Target Program “Research and Development in High Priority Directions of Scientific Technological Complex of Russia 2014–2022” (contract no. 14.604.21.0087).

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Authors and Affiliations

  1. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, Leninskii pr. 31, Moscow, 119071, Russia

    B. M. Grafov, A. L. Klyuev & A. D. Davydov

  2. Institute of Problems of Chemical Physics, Russian Academy of Sciences, pr. Akademika Semenova 1, Chernogolovka, Moscow Region, 142432, Russia

    Yu. A. Dobrovolskii, A. E. Ukshe & E. A. Astaf’ev

Authors
  1. B. M. Grafov
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  2. Yu. A. Dobrovolskii
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  3. A. L. Klyuev
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  4. A. E. Ukshe
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  5. A. D. Davydov
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  6. E. A. Astaf’ev
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Corresponding authors

Correspondence to B. M. Grafov or A. D. Davydov.

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Grafov, B.M., Dobrovolskii, Y.A., Klyuev, A.L. et al. Median Chebyshev spectroscopy of electrochemical noise. J Solid State Electrochem 21, 915–918 (2017). https://doi.org/10.1007/s10008-016-3395-0

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  • DOI: https://doi.org/10.1007/s10008-016-3395-0

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