Abstract
A new method of electrochemical noise diagnostics is presented: the method of the secondary Chebyshev spectrum based on the splitting of an individual spectral line in the primary Chebyshev spectrum with formation of a system of spectral lines of the secondary Chebyshev spectrum. Algorithm for calculation of the secondary Chebyshev spectrum is developed. The suggested method based on analysis of noises measured in a specific electrochemical system is tested. It is shown that the new method allows determining the differences in the state of the electrochemical system more reliably, than the method of primary Chebyshev noise spectra.
References
Frumkin, A.N., Izbrannye trudy. Elektrodnye protsessy (Selected Works. Electrode Processes), Moscow Nauka, 1987.
Timashev, S.F., Flikker-shumovaya spektroskopiya: Informatsiya v khaoticheskikh signalakh (Flicker Noise Spectroscopy: Information in Chaotic Signals), Moscow Fizmatlit, 2007.
Roberge, P.R., Halliop, E., and Farrington, M.D., J. Power Sources, 1991, vol. 34, p. 233.
Martinet, S., Durand, R., Ozil, P., Lebranc, P., and Blanchard, P., J. Power Sources, 1999, vol. 83, p. 93.
Baert, D.H.J. and Vervaet, A.A.K., J. Power Sources, 2003, vol. 114, p. 357.
Legros, B., Thivel, P.-X., Bultel, Y., and Nogueira, R.P., Electrochem. Commun., 2011, vol. 13, p. 1514.
Martemianov, S., Adiutantov, N., Evdokimov, Y.K., Madier, L., Maillard, F., and Thomas, A., J. Solid State Electrochem., 2015, vol. 19, p. 2803.
Grafov, B.M., Dobrovol’skii, Yu.A., Davydov, A.D., Ukshe, A.E., Klyuev, A.L., and Astaf’ev, E.A., Russ. J. Electrochem., 2015, vol. 51, p. 503.
Nikiforov, A.F., Suslov, S.K., and Uvarov, V.B., Klassicheskie ortogonal’nye polinomy diskretnoi peremennoi (Classical Orthogonal Discrete–Variable Polynomials), Moscow Nauka, 1985.
Gogin, N. and Hirvensalo, M., On the Generating Function of Discrete Chebyshev Polynomials. TUCS Technical Report, 2007, no. 819, p. 8.
Astaf’ev, M.G., Kanevskii, L.S., and Grafov, B.M., Russ. J. Electrochem., 2007, vol. 43, p. 17.
Mansfeld, F., Sun, Z., Hsu, C.H., and Nagiub, A., Corros. Sci., 2001, vol. 43, p. 341.
Bertocci, U., Huet, F., Nogueira, R.P., and Rousseau, P., Corrosion, 2002, vol. 58, p. 337.
Xia, D.H. and Behnamian, Y., Russ. J. Electrochem., 2015, vol. 51, p. 593.
Oppenheim, A.V., Schafter, R.W., and Buck, J.R., Discrete–Time Signal Processing, Prentice Hall: Englewood Cliffs, 1999, Ch. 9.
Aballe, A., Bethencourt, M., Botana, F.J., and Marcos, M., Electrochim. Acta, 1999, vol. 44, p. 4805.
Welstead, S., Fractal and Wavelet Image Compression Techniques, Bellingham: SPIE Optical Engineering Press, 1999, Chs. 5 and 6.
Klyuev, A.L., Grafov, B.M., Dobrovol’skii, Yu.A., Davydov, A.D., and Ukshe, A.E., Russ. J. Electrochem., 2015, vol. 51, p. 1180.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.L. Klyuev, A.D. Davydov, B.M. Grafov, Yu.A. Dobrovolskii, A.E. Ukshe, E.A. Astaf’ev, 2016, published in Elektrokhimiya, 2016, Vol. 52, No. 10, pp. 1123–1127.
Rights and permissions
About this article
Cite this article
Klyuev, A.L., Davydov, A.D., Grafov, B.M. et al. Electrochemical noise spectroscopy: Method of secondary Chebyshev spectrum. Russ J Electrochem 52, 1001–1005 (2016). https://doi.org/10.1134/S1023193516100062
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1023193516100062