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Discrete version of Wiener-Khinchin theorem for Chebyshev’s spectrum of electrochemical noise

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Abstract

A discrete version of Wiener-Khinchin theorem for Chebyshev’s spectrum of electrochemical noise is developed. Based on the discrete version of Wiener-Khinchin theorem, the theoretical discrete Chebyshev spectrum for the Markov random process is calculated. It is characterized by two parameters: the dispersion and the relaxation frequency (or relaxation time). The noise of corrosion process and the noise of recording equipment are measured. Using the theoretical Chebyshev spectrum, the Markov parameters were found both for the noise of the corrosion process and for the noise of the measuring equipment.

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Authors and Affiliations

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

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

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

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Grafov, B.M., Klyuev, A.L. & Davydov, A.D. Discrete version of Wiener-Khinchin theorem for Chebyshev’s spectrum of electrochemical noise. J Solid State Electrochem 22, 1661–1667 (2018). https://doi.org/10.1007/s10008-017-3873-z

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