Transient detection with cross wavelet transforms and wavelet coherence

IEEE Transactions on Signal Processing

Volumn 55, Issue 5 I, 2007, Pages 1605-1611

  Plett, Melani I ^a  

^a SEATTLE PACIFIC UNIVERSITY   (United States)

Author keywords

Signal detection; Statistics; Time varying; Wavelet transforms

Indexed keywords

DISCRETE WAVELET TRANSFORMS; FAST FOURIER TRANSFORMS; GAUSSIAN NOISE (ELECTRONIC); SIGNAL TO NOISE RATIO; STATISTICS; TIME VARYING NETWORKS;

CROSS WAVELET TRANSFORM; WAVELET COHERENCE;

SIGNAL DETECTION;

EID: 34247873094     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.890874     Document Type: Article

References (18)

1. J. H. Kaspersen and L. Hudgins, "Wavelet quadrature methods for detecting coherent structures in fluid turbulence," Proc. SPIE, vol. 2825, pp. 540-550, 1996.
2. M. Plett and K. W. Beach, "Ultrasonic vibration detection with wavelets: Preliminary results," J. Ultrasound Med. Biol., vol. 31, pp. 367-375, 2005, (Erratum: Vol. 32, pp. 1621-1624, 2006).
3. M. I. Plett, "Ultrasonic arterial vibrometry with wavelet based detection and estimation," Ph.D. dissertation, Dept. Elect. Eng., Univ. Washington, Seattle, WA, 2000.
4. T. H. Li and W. R. Klemm, "Detection of cognitive binding during ambiguous figure tasks by wavelet coherence analysis of EEG signals," in Proc. 15th Int. Conf. Pattern Recog., 2000, vol. 3, pp. 94-97.
5. C. Torrence and G. P. Compo, "A practical guide to wavelet analysis," Bull. Amer. Meteor. Soc., vol. 79, pp. 61-78, 1998.
6. P. C. Liu, "Wavelet spectrum analysis and ocean wind waves," in Wavelets in Geophysics, E. Foufoula-Georgiou and P. Kumar, Eds. San Diego, CA: Academic Press, 1994.
7. A. Grinsted, S. Jevrejeva, and J. Moore, "Application of the cross wavelet transform and wavelet coherence to geophysical time series," Nonlinear Proc. Geophys., vol. 11, pp. 561-566, 2004.
8. D. S. Bloomfield, R. T. J. McAteer, B. W. Lites, P. G. Judge, M. Mathioudakis, and F. P. Keenan, "Wavelet phase coherence analysis: Application to a quiet-sun magnetic element," Astrophys. J., vol. 617, pp. 623-632, 2004.
9. C. Demazière, C. Sunde, and I. Pázsit, Final Report on the Research Project Ringhals Diagnostics and Monitoring, Stage 9 Dept. of Reactor Physics, Chalmers Univ. of Tech., Göteborg, Sweden, Rep. CTH-RF-187/RR-11, Jan. 2005.
10. A. Wang and P. Willett, "All-purpose and plug-in power-law detectors for transient signals," IEEE Trans. Signal Process., vol. 49, pp. 2454-2466, 2001.
11. D. Maraun and J. Kurths, "Cross wavelet analysis: Significance testing and pitfalls," Nonlinear Processes Geophys., vol. 11, pp. 515-514, 2004.
12. C. Torrence and P. Webster, "Interdecadal changes in the ESNO-monsoon system," J. Clim., vol. 12, pp. 2679-2690, 1999.
13. P. Kumar and E. Foufoula-Georgiou, "Wavelet analysis in geophysics: An introduction," in Wavelets in Geophys., E. Foufoula-Georgiou and P. Kumar, Eds. San Diego, CA: Academic Press, 1994.
14. A. Serroukh and A. T. Walden, "The scale analysis of bivariate non-Gaussian time series via wavelet cross-covariance," in Imperial College of Science Statistics Section, Technical Report TR-98-02, 1998.
15. B. J. Whitcher, "Assessing nonstationary time series using wavelets," Ph.D. dissertation, Dept. Statistics, Univ. Washington, Seattle, WA, 1998.
16. M. Farge, "Wavelet transforms and their applications in turbulence," Ann. Rev. of Fluid Mech., vol. 24, pp. 395-457, 1992.
17. A. Papoulis, Probability, Random Variables, and Stochastic Processes 3rd ed. San Francisco, CA: McGraw-Hill, 1991.
18. D. B. Percival and A. T. Walden, Spectral Analysis for Physical Applications: Multitaper and Conventional Univariate Techniques. New York: Cambridge Univ. Press, 1993.