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Wavelet-Based Algorithm for Signal Analysis

EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 038916 (2007) Cite this article

Abstract

This paper presents a computational algorithm for identifying power frequency variations and integer harmonics by using wavelet-based transform. The continuous wavelet transform (CWT) using the complex Morlet wavelet (CMW) is adopted to detect the harmonics presented in a power signal. A frequency detection algorithm is developed from the wavelet scalogram and ridges. A necessary condition is established to discriminate adjacent frequencies. The instantaneous frequency identification approach is applied to determine the frequencies components. An algorithm based on the discrete stationary wavelet transform (DSWT) is adopted to denoise the wavelet ridges. Experimental work has been used to demonstrate the superiority of this approach as compared to the more conventional one such as the fast Fourier transform.

References

  1. IEEE recommended practice for monitoring electric power quality IEEE Standards Board, June 1995

  2. Lai LL, Chan WL, Tse CT, So ATP: Real-time frequency and harmonic evaluation using artificial neural networks. IEEE Transactions on Power Delivery 1999,14(1):52-59. 10.1109/61.736681

    Article  Google Scholar 

  3. Chan WL, So ATP, Lai LL: Harmonics load signature recognition by wavelets transforms. Proceedings of International Conference on Electric Utility Deregulation and Restructuring and Power Technologies (DRPT '00), April 2000, London, UK 666–671. IEEE Catalog no. 00EX382

    Google Scholar 

  4. Tse NCF: Practical application of wavelet to power quality analysis. Proceedings of IEEE Power Engineering Society General Meeting, June 2006, Montreal, Quebec, Canada 5. IEEE Catalogue no. 06CH37818C, CD ROM

    Google Scholar 

  5. Addison PS: The Illustrated Wavelet Transform Handbook. Institute of Physics, Bristol, UK; 2002.

    MATH  Google Scholar 

  6. Pham VL, Wong KP: Wavelet-transform-based algorithm for harmonic analysis of power system waveforms. IEE Proceedings: Generation, Transmission and Distribution 1999,146(3):249-254. 10.1049/ip-gtd:19990316

    Google Scholar 

  7. Strang G, Nguyen T: Wavelets and Filter Banks. Wellesley-Cambridge, Wellesley, Mass, USA; 1996.

    MATH  Google Scholar 

  8. Huang S-J, Hsieh C-T, Huang C-L: Application of Morlet wavelets to supervise power system disturbances. IEEE Transactions on Power Delivery 1999,14(1):235-241. 10.1109/61.736728

    Article  Google Scholar 

  9. Teolis A: Computational Signal Processing with Wavelets. Birkhäuser, Boston, Mass, USA; 1998.

    MATH  Google Scholar 

  10. Misiti M, Misiti Y, Oppenheim G: Wavelet Toolbox for Use with Matlab. The Mathworks, Natick, Mass, USA; 1996.

    MATH  Google Scholar 

  11. Mallet S: A Wavelet Tour of Signal Processing. Academic Press, San Diego, Calif, USA; 1998.

    Google Scholar 

  12. Carmona RA, Hwang WL, Torrésani B: Multiridge detection and time-frequency reconstruction. IEEE Transactions on Signal Processing 1999,47(2):480-492. 10.1109/78.740131

    Article  Google Scholar 

  13. Carmona RA, Hwang WL, Torresani B: Characterization of signals by the ridges of their wavelet transforms. IEEE Transactions on Signal Processing 1997,45(10):2586-2590. 10.1109/78.640725

    Article  Google Scholar 

  14. Antoniadis A, Oppenheim G (Eds): Wavelets and Statistics, Lecture Notes in Statistics. Springer, New York, NY, USA; 1995.

    Google Scholar 

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Authors and Affiliations

  1. Division of Building Science and Technology, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

    Norman C.F. Tse

  2. School of Engineering and Mathematical Sciences, City University, Northampton Square, London, EC1V0HB, UK

    L.L. Lai

Authors
  1. Norman C.F. Tse
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  2. L.L. Lai
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Correspondence to Norman C.F. Tse.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://doi.org/creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Tse, N.C., Lai, L. Wavelet-Based Algorithm for Signal Analysis. EURASIP J. Adv. Signal Process. 2007, 038916 (2007). https://doi.org/10.1155/2007/38916

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  • DOI: https://doi.org/10.1155/2007/38916

Keywords

  • Fast Fourier Transform
  • Detection Algorithm
  • Frequency Component
  • Identification Approach
  • Power Signal