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The discrete Chebyshev algorithm for nonparametric estimation of autocorrelation function of electrochemical random time series

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Abstract

The discrete Chebyshev algorithm for nonparametric estimation of autocorrelation function of electrochemical random time series is presented. The algorithm is resistant to a trend of electrochemical noise. The discrete Chebyshev algorithm is tested using the model electrochemical noise corresponding to the equilibrium two-element Voigt circuit. The algorithm is used for nonparametric estimation of autocorrelation function of corrosion noise and electronic noise of measuring instrument.

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Funding

The work was performed with support of Ministry of Science and Higher Education of Russian Federation.

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Authors and Affiliations

  1. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, Moscow, Russia

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

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  1. A. L. Klyuev
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  2. A. D. Davydov
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  3. B. M. Grafov
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Correspondence to B. M. Grafov.

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Klyuev, A.L., Davydov, A.D. & Grafov, B.M. The discrete Chebyshev algorithm for nonparametric estimation of autocorrelation function of electrochemical random time series. J Solid State Electrochem 23, 2325–2330 (2019). https://doi.org/10.1007/s10008-019-04349-8

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  • DOI: https://doi.org/10.1007/s10008-019-04349-8

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