Fractional order signal processing of electrochemical noises

JVC/Journal of Vibration and Control

Volumn 14, Issue 9-10, 2008, Pages 1443-1456

  Chen, Yangquan ^a   Sun, Rongtao ^a   Zhou, Anhong ^a   Zaveri, Nikita ^a  

^a Utah State University   (United States)

Author keywords

Electrochemical noise; Fractional Fourier transform; Rescaled range analysis; Self similar signals; Spectral noise impedance; Stainless steel

Indexed keywords

CONVENTIONAL METHODS; CORROSION PROCESSES; ELECTROCHEMICAL NOISE; ELECTROCHEMICAL NOISES; FRACTIONAL FOURIER TRANSFORM; FRACTIONAL FOURIER TRANSFORMS; FRACTIONAL ORDERS; FREQUENCY DOMAINS; NON-STATIONARY; POW ERFUL TOOL; RESCALED RANGE ANALYSIS; SELF-SIMILAR; SELF-SIMILAR SIGNALS; SPECTRAL NOISE IMPEDANCE; STAINLESS STEELS; TIME-FREQUENCY ANALYSIS;

CORROSION; CORROSION PREVENTION; SIGNAL PROCESSING; STAINLESS STEEL;

FOURIER TRANSFORMS;

EID: 52349115496     PISSN: 10775463     EISSN: 17412986     Source Type: Journal    
DOI: 10.1177/1077546307087438     Document Type: Conference Paper

References (18)

1. Almeida, L.B., 1994, " The fractional Fourier transform and time-frequency representations, " IEEE Transactions on Signal Processing 42, 3084-3091.
2. Bertocci, U., Huet, F., and Keddam, M., 1997, " Noise resistance applied to corrosion measurements I: Theoretical analysis, " Journal of the Electrochemical Society 144 (1). 31-37.
3. Cottis, R. and Turgoose, S., 1999, " Electrochemical impedance and noise, " in Corrosion testing made easy, Vol. 7, Syrett, B. C., ed., NACE International, Houston, TX.
4. Eden, D.A., Hladky, K., John, D.G., and Dawson, J.L., 1986, " Electrochemical noise-simultaneous monitoring of potential and current noise signals from corroding electrodes, " in Proceedings of Corrosion 86, Houston, TX, March 17-21, paper number 274.
5. Feder, J., 1988, Fractals, Plenum Press, New York, pp. 149-183.
6. Fonollosa, J.R. and Nikias, C.L., 1994, " A new positive time-frequency distribution, " in Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, Adelaide, Australia, April 19-22, Vol. 4, pp. 301-304.
7. Gabrielli, C., Huet, F., and Keddam, M., 1985, " Characterization of electrolytic bubble evolution by spectral analysis, " Journal ofApplied Electrochemistry 15 (4). 503-508.
8. Hurst, H.E., 1951, " Long-term storage of capacity reservoirs, " in Transactions of the American Society of Civil Engineering, Vol. 116, ASCE, Reston, VA, pp. 770-799.
9. Hurst, H.E., Black, R.P., and Simaika, Y.M., 1965, Long-term storage: An experimental study, Constable, London.
10. Lohmann, A.W., 1993, " Image rotation, Wigner rotation and the fractional Fourier transform, " Journal of the Optical Society of America A 10, 2181-2186.
11. Mandelbrot, B.B. and Wallis, J.R., 1968, " Noah, Joseph, and operational hydrology, " Water Resources Research 4, 909-918.
12. Mendlovic, D., Ozaktas, H.M., and Lohmann, A.W., 1995, " Fractional correlation, " Applied Optics 34, 303-309.
13. Ozaktas, H.M. and Mendlovic, D., 1993 a, " Fourier transforms of fractional order and their optical interpretation, " Optics Communications 101, 163-169.
14. Ozaktas, H.M. and Mendlovic, D., 1993 b, " Fractional Fourier transformations and their optical implementation: Part II, " Journal of the Optical Society of America A 10, 2522-2531.
15. Ozaktas, H.M., Barshan, B., Mendlovic, D., and Onural, L., 1994, " Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms, " Journal of the Optical Society of America A 11, 547-559.
16. Ozaktas, H.M., Kutay, M.A., and Bozdagi, G., 1996, " Digital computation of the fractional Fourier transform, " IEEE Transactions on Signal Processing 44, 2141-2150.
17. Sun, R., Zaveri, N., Chen, Y., Zhou, A., and Zufelt, N., 2006, " Electrochemical noise signal processing using R/S analysis and fractional Fourier transform, " in Proceedings of the IFAC Workshop on Fractional Derivatives and Applications, Porto, Portugal, July 19-22.
18. Sun, R., 2007, " Fractional order signal processing: Techniques and applications, " Masters Thesis, Department of Electrical and Computer Engineering, Utah State University, Logan, UT ( http://mechatronics.ece.usu.edu/ foc/yan.li/thesis_Rongtao_Sun.pdf ).