Abstract
A new approach to the modeling of analytical signals based on the combined Tikhonov regularization and cumulant analysis of random non-Gaussian processes, allowing us to subtract the background, determine and refine the parameters, and to separate overlapping peaks is presented. The efficiency of the developed procedure in analyzing the stripping voltammetric measurements of analytical signals for Cd(II), Cu(II), and Pb(II) pollutants of natural water at mercury-graphite electrodes is demonstrated.
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References
A. N. Tikhonov and V. Ya. Arsenin, Methods for Solving Ill-Posed Problems (Nauka, Moscow, 1979) [in Russian].
V. A. Morozov, Regular Methods of Solving Incorrectly Posed Problems (Mosk. Gos. Univ., Moscow, 1974) [in Russian].
A. N. Tikhonov, A. B. Vasil’eva, and A. G. Sveshnikov, Differential Equations (Nauka, Moscow, 1980) [in Russian].
A. A. Samarskii and B. S. Nikolaev, Methods of Grid Difference Equations Solution (Nauka, Moscow, 1978) [in Russian].
R. Z. Deyanov and B. M. Shchedrin, in Computational Methods and Programming (Mosc. Gos. Univ., Moscow, 1983), No. 39, p. 55 [in Russian].
Z. Galus, Fundamentals of Electrochemical Analysis (Polish Scientific Publ. PWN, Warsaw, 1994).
A. Yu. Rumyantsev, Candidate’s Dissertation in Chemistry (Mosc. State Univ. Lomonosova, Moscow, 2000).
A. G. Stromberg, S. V. Romanenko, and E. S. Romanenko, J. Anal. Chem. 55, 1024 (2000).
S. V. Romanenko and A. G. Stromberg, Anal. Chim. Acta 581, 342 (2007).
A. N. Malakhov, Cumulant Analysis of Random Non-Gaussian Processes and their Transformations (Sovetskoe radio, Moscow, 1978) [in Russian].
A. A. Ischenko, J. D. Ewbank, and L. Schafer, J. Phys. Chem. 99, 15790 (1995).
R. Z. Deyanov and B. M. Shchedrin, in Applied Mathematics and Informatics, No. 30 (VMK Dep., Mosc. Gos. Univ., Moscow, 2008), p. 46 [in Russian].
Kh. Z. Brainina, N. A. Malakhova, and N. Yu. Stojko, Fresenius J. Anal. Chem. 368, 307 (2000).
A. I. Kamenev, I. P. Viter, K. A. Kovalski, A. V. Tulakin, and E. F. Gorshkova, in Proceedings of the International Ecologic Forum on Environmental and Human Heals (St.-Petersburg, 2003), p. 103.
A. M. Lebedev, A. I. Kamenev, and A. A. Ishchenko, Vestn. MITKhT 6(1), 82 (2011).
M. N. Magomedov, Poverkhnost’, No. 1, 94 (2005).
M. N. Magomedov, J. Surf. Invest. 6, 86 (2012).
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Original Russian Text © R.Z. Deyanov, A.A. Ischenko, A.I. Kamenev, A.M. Lebedev, B.M. Shchedrin, S.Kh. Yagoubpour, 2013, published in Poverkhnost’. Rentgenovskie, Sinkhrotronnye i Neitronnye Issledovaniya, 2013, No. 1, pp. 45–49.
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Deyanov, R.Z., Ischenko, A.A., Kamenev, A.I. et al. Implementation of the regularization and cumulant techniques for interpreting and modeling analytical signals. J. Surf. Investig. 7, 41–45 (2013). https://doi.org/10.1134/S1027451013010084
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DOI: https://doi.org/10.1134/S1027451013010084