Fractal characteristic analysis of electrochemical noise with wavelet transform

Corrosion Science

Volumn 48, Issue 6, 2006, Pages 1337-1367

  Liu, X F ^a,b   Wang, H G ^a   Gu, H C ^b  

^a XI'AN RESEARCH INSTITUTE OF HIGH TECHNOLOGY   (China)

^b XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Electrochemical noise; Fractal; General and local feature; Standard deviation of wavelet coefficient; Wavelet transform

Indexed keywords

CORROSION; FRACTALS; PASSIVATION; SURFACE PROPERTIES; VOLTAGE MEASUREMENT; WAVELET TRANSFORMS;

ELECTROCHEMICAL NOISE; POTENTIAL SIGNALS; STANDARD DEVIATION (STD); STANDARD DEVIATION OF WAVELET COEFFICIENT;

ELECTROCHEMISTRY;

CORROSION; ELECTROCHEMISTRY; FRACTALS; PASSIVATION; SURFACE PROPERTIES; VOLTAGE MEASUREMENT; WAVELET TRANSFORMS;

EID: 33748059566     PISSN: 0010938X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.corsci.2005.06.001     Document Type: Article

References (52)

1. Mandelbrot B.B. Fractals: Form, Chance and Dimensions (1977), Freeman, San Francisco, CA
2. Turcotte D.L. Fractals and Chaos in Geology and Geophysics. second ed. (1997), Cambridge University Press, Cambridge
3. Mandelbrot B.B., and Van Ness J.W. Fractional Brownian motions, fractional noises and applications. SIAM Rev. 10 (1968) 422-437
4. Hurd A.J., Weitz D.A., and Mandelbrot B.B. Fractal Aspects of Materials: Disordered Systems (1987), Materials Research Society
5. Mandelbrot B.B. The Fractal Geometry of Nature (1983), Freeman, New York
6. Kim T.S., and Kim S. Relations between dimensions and differentiability of curves. Fract. Calculus Appl. Anal. 4 (2001) 135
7. Kent J.T., and Wood A.T.A. J. Roy. Statist. Soc. B 59 (1997) 679
8. Jensen M. An approximate wavelet MLE of short and long memory parameters. Stud. Nonlinear Dynam. Econometr. 3 (1998) 239-253
9. Cottis R.A., Al-Ansari M.A., Bagley G., and Pettiti A. Mater. Sci. Forum 289-292 (1998) 741
10. Dawson J.L. Electrochemical noise measurement. Electrochemical Noise Measurement for Corrosion Applications. ASTM STP vol. 1277 (1996), ASTM 3
11. Searson P.C., and Dawson J.L. J. Electrochem. Soc. 135 (1988) 1908
12. Pistorius P.C. Corrosion 53 (1997) 273
13. Bertocci U., Frydman J., Gabrielli C., Huet F., and Keddam M. J. Electrochem. Soc. 145 (1998) 2780
14. Legat A., and Dolecek V. Corrosion 51 (1995) 295
15. Cheng Y.F., Wilmott M., and Luo J.L. Corros. Sci. 41 (1999) 1245
16. Wharton J.A., Mellor B.G., Wood R.J.K., and Smith C.J.E. J. Electrochem. Soc. 147 (2000) 3294
17. Abry P., Goncalves P., and Flandrin P. Wavelets and Statistics. Lecture Notes in Statistics vol. 103 (1995), Springer 15
18. Nason G.P., and von Sachs R. Philos. Trans. R. Soc. Lond. Series A 357 (1999) 2511
19. Dai X.D., Motard R.L., Joseph B., and Silverman D.C. Ind. Eng. Chem. Res. 39 (2000) 1256
20. Smulko J., Darowicki K., and Zielinski A. Electrochem. Commun. 4 (2002) 388
21. Aballe A., Bethencourt M., Botana F.J., and Marcos M. Electrochem. Acta 44 (1999) 4805
22. Dong Z., Guo X., Zheng J., and Xu L. Electrochem. Commun. 3 (2001) 561
23. Liu X.F., Wang H.G., Huang S.J., and Gu H.C. Corrosion 57 (2001) 843
24. Daubechies I. Ten Lectures on Wavelets (1992), Capital City Press, Montpelier, Vermont
25. Legalt A., and Dolecek V. J. Electrochem. Soc. 142 (1995) 1851
26. Falconer K. Fractal Geometry: Mathematical Foundation and Applications (1990), Wiley, New York, USA
27. Malamud B.D., and Turcotte D.L. J. Statist. Plan. Inference 80 (1999) 173
28. Voss R.F. Fractals in nature: from characterization to simulation. In: Peitgen H.-O., and Saupe D. (Eds). The Science of Fractal Images (1988), Springer, New York 22-70
29. Bassingthwaighte J.B., and Raymond G.M. Ann. Biomed. Eng. 22 (1994) 432
30. Cgallant J., Moore I.D., Hutchinson M.F., and Gessler P. Math. Anal. 26 (1994) 455
31. Voss R.F. Random fractal forgeries. In: Earnshaw R.A. (Ed). Fundamental Algorithms for Computer Graphics. NATO ASI Series F17 (1985), Springer, Berlin 805-835
32. Hurst H.E. Trans. Amer. Soc. Civil Engrs. 116 (1951) 770
33. Wornell G.W. Signal Processing with Fractals: A Wavelet-based Approach (1996), Prentice-Hall, Englewood Cliffs, NJ
34. Hubbard B.B. The World According to Wavelets: The Story of a Mathematical Technique in the Making (1996), A.K. Peters, Wellesley
35. Mallat S.G. IEEE Trans. Pattern Anal. Mach. Intell. 11 7 (1989) 674
36. X.F. Liu, Study of coating inhibitor to restrain corrosion and environmentally assisted cracking of high strength metal materials, Ph.D. thesis, Xi'an Jiaotong University, 2001.
37. Wei R.P., Liao C.M., and Gao M. Metall. Mater. Trans. A 29A (1998) 1153
38. Zhang Q., Li D., Ding X.Y., and Zhang Y.M. Mater. Protect. 29 8 (1996) 6 (in China)
39. Mclntyre J.F., and Dow T.S. Corrosion 48 (1992) 309
40. Liu X.F., Wang H.G., Quan G.F., Huang S.J., and Gu H.C. Chinese J. Anal. Chem. 27 (1999) 1356 (in China)
41. Liao C.M., Olive J.M., Gao M., and Wei R.P. Corrosion 54 (1998) 451
42. Chen G.S., Gao M., and Wei R.P. Corrosion 52 (1996) 8
43. Brett C.M.A., Gomes I.A.R., and Martins J.P.S. J. Appl. Electrochem. 24 (1994) 1158
44. Badawy W.A., Al-Kharafi F.M., and El-Azab A.S. Corros. Sci. 41 (1999) 709
45. Yang W.Z., Huang K.Y., Wang Q., and Kong W. Inhibitor (1989), Chemistry Industry Publishing Company, China
46. de Sa M.S., and Sequeira C.A.C. Corros. Prevent. Control 38 6 (1991) 55
47. Kuang Y.F., Chen S., and Lin Z.C. J. Chinese Soc. Corros. Protect. 15 (1995) 129
48. Zhang D.Q., and Gao L.X. Corros. Sci. Protect. Technol. 13 (2001) 136 (in China)
49. Monticelli C., Brunoro G., Frignani A., and Trabanelli G. J. Electrochem. Soc. 139 (1992) 706
50. Liu X.F., Huang S.J., and Gu H.C. Corrosion 58 (2002) 826
51. Mustafa C.M., and Haque M. Corros. Prevent. Control 44 (1997) 49
52. Otra R., Indrianjafy G.M., and Roberge R. J. Electrochem. Soc. 140 (1993) 343