Analysis of subtidal coastal sea level fluctuations using wavelets

Journal of the American Statistical Association

Volumn 92, Issue 439, 1997, Pages 868-880

  Percival, Donald B ^a,b   Mofjeld, Harold O ^c,d  

^a UNIVERSITY OF WASHINGTON   (United States)

^b MathSoft   (United States)

^c NOAA EARTH SYSTEM RESEARCH LABORATORY   (United States)

^d UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Coastal sea level variability; Discrete wavelet transform; Natural hazards; Time series analysis; Tsunamis

Indexed keywords

EID: 21744462135     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1997.10474042     Document Type: Article

References (40)

1. Barnes, J. A, Chi, A R, Cutler, L. S., Healey, D. J., Leeson, D. B., McGunigal, T. E., Mullen, J. A, Jr., Smith, W. L., Sydnor, R. L., Vessot, R. E C., and Winkler, G. M. R(1971), "Characterization of Frequency Stability,"IEEE Transactions on Instrumentation and Measurement, 20, 105-120.
2. Bloomfield, P.(1976), Fourier Analysis of Time Series: An Introduction, New York: Wiley.
3. Bruce, A, and Gao, H.-Y.(1996), Applied Wavelet Analysis With S-PLUS, New York: Springer.
4. Chelton, D. B., and Davis, R E.(1982), "Monthly Mean Sea-Level Variability Along the West Coast of North America,"Journal of Physical Oceanography, 12,757-784.
5. Cohen, L.(1995), Time-Frequency Analysis, Englewood Cliffs, NJ: Prentice-Hall.
6. Coifman, R R., and Donoho, D.(1995), "Translation-Invariant DeNoising," in Wavelets and Statistics, Lecture Notes in Statistics 103, eds. A Antoniadis and G. Oppenheim, New York: Springer-Verlag, pp. 125-150.
7. Daubechies, I.(1992), Ten Lectures on Wavelets, Philadelphia: SIAM.
8. Denbo, D. w., and Allen, J. S.(1987), "Atmospheric Forcing of Shelf Currents and Coastal Sea Level of f the West Coast of North America: May-July, 1981 and 1982,"Journal of Geophysical Research, 92, 1757-1782.
9. Enfield, D. B.(1987), "The Intraseasonal Oscillation in Eastern Pacific Sea Levels: How is it Forced?,"Journal of Physical Oceanography, 17, 1860-1876.
10. Greenhall, C. A(1991), "Recipes for Degrees of Freedom of Frequency Stability Estimators,"IEEE Transactions on Instrumentation and Measurements, 40, 994-999.
11. Halliwell, G. R., Jr., and Allen, J. S.(1984), "Atmospheric Forcing Along the West Coast of North America, Summer 1973,"Journal of Physical Oceanography, 14, 864-886.
12. Hamming, R W.(1989), Digital Filters (3rd ed.), Englewood Cliffs, NJ: Prentice-Hall.
13. Hickey, B. M.(1989), "Patterns and Processes of Circulation over the Washington Continental Shelf and Slope," in Coastal Oceanography of Washington and Oregon, eds. M. R. Landry and B. M. Hickey, Amsterdam: Elsevier, pp. 41-115.
14. Lander, J. E, and Lockridge, P.A(1989), United States Tsunamis (Including United States Possessions) 1690-1988, Boulder, CO: NOAA NGDC Publication41-42.
15. Lindsay, R.W., Percival, D. B., and Rothrock, D. A(1996), "The Discrete Wavelet Transform and the Scale Analysis of the Surface Properties of Sea Ice,"IEEE Transactions on Geoscience and Remote Sensing, 34, 771-787.
16. Liang, J., and Parks, T. W.(1996), "A Translation-Invariant Wavelet Representation Algorithm With Applications,"IEEE Transactions on Signal Processing, 44, 225-232.
17. Mallat, S. G.(1989), "A Theory for Multiresolution Signal Decomposition: The Wavelet Representation,"IEEE Transactions on Pattern Analysis and Machine Intelligence, 11, 674-693.
18. McCoy, E. J., Percival, D. B., and Walden, A T.(1995), "On The Phase of Least-Asymmetric Scaling and Wavelet Filters," Technical Report TR-95-15, Imperial College, London, Statistics Section.
19. McCoy, E. J., and Walden, A. T.(1996), "Wavelet Analysis and Synthesis of Stationary Long-Memory Processes,"Journal of Computational and Graphical Statistics, 5, 26-56.
20. Meyer, Y.(1993), Wavelets: Algorithms and Applications, Philadelphia: SIAM.
21. Mofjeld, H. O., Gonzalez, E I., and Newman, J. C.(1997a), "ShortTerm Forecasts of Inundation During Teletsunamis in the Eastern North Pacific Ocean," in Perspectives on Tsunami Hazard Reduction, ed. J. Hebenstreit, Dordrecht: Kluwer, pp. 145-155.
22. Mofjeld, H. O., Gonzalez, E I., and Newman, J. C. (1997b), "Tsunami Prediction in U.S. Coastal Regions," in Coastal Ocean Prediction, ed. C. Mooers, Washington D.C.: American Geophysical Union, in press.
23. Nason, G. P., and Silverman, B. W. (1994), "The Discrete Wavelet Transform in S," Journal of Computational and Graphical Statistics, 3, 163-191.
24. Nason, G. P., and Silverman, B. W. (1995), "The Stationary Wavelet Transform and Some Statistical Applications," in Wavelets and Statistics, Lecture Notes in Statistics 103, eds. A. Antoniadis and G. Oppenheim, New York: Springer-Verlag, pp. 281-299.
25. Newland, D. E.(1993), An Introduction to Random Vibrations, Spectral & Wavelet Analysis, New York: Longman Scientific & Technical.
26. Pattullo, J., Munk, W., Revelle, R., and Strong, E.(1955), ''The Seasonal Oscillation in Sea Level,"Journal of Marine Research, 14, 88-155.
27. Percival, D. B.(1995), "On Estimation of the Wavelet Variance,"Biometrika, 82, 619-731.
28. Percival, D. B., and Guttorp, P.(1994), "Long-Memory Processes, the Allan Variance and Wavelets," in Wavelets in Geophysics, eds. E. FoufoulaGeorgiou and P. Kumar, San Diego: Academic Press, pp. 325-344.
29. Pesquet, J.-c., Krim, H., and Carfantan, H.(1996), ''Time-Invariant Orthonormal Wavelet Representations,"IEEE Transactions on Signal Processing, 44, 1964-1970.
30. Petrauskas, C., and Borgman, L. E.(1971), "Frequencies of Crest Heights for Random Combinations of Astronomical Tides and Tsuanmis Recorded at Crescent City, California," Technical Report16-8, University of California, Berkeley, Hydraulics Engineering Laboratory.
31. Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P.(1992), Numerical Recipes: The Art of Scientific Computing (2nd ed.), Cambridge, UK: Cambridge University Press.
32. Pugh, D. T.(1987), Tides, Surges and Mean Sea-Level, New York: Wiley.
33. Roden, G. I.(1960), "On the Nonseasonal Variations in Sea Level Along the West Coast of North. America,"Journal of Geophysical Research, 65, 2800-2826.
34. Roden, G. I. (1989), "Analysis and Interpretation of Long-Term Climatic Variability Along the West Coast of North America," in Aspects of Climate Variability in the Pacific and the Western Americas, Geophysical Monograph 55, ed. D. H. Peterson, Washington, DC: American Geophysical Union, pp. 93-111.
35. Shensa, M. J.(1992), "The Discrete Wavelet Transform: Wedding the A Trous and Mallat Algorithms,"IEEE Transactions on Signal Processing, 40, 2464-2482.
36. Spillane, M. C., Enfield, D. B., and Allen, J. S.(1987), "Intraseasonal Oscillations in Sea Level Along the West Coast of the Americas,"Journal of Physical Oceanography, 17,313-325.
37. Strang, G.(1993), "Wavelet Transforms Versus Fourier Transforms,"Bulletin of the American Mathematical Society, 28, 288-305.
38. Strub, P. T., Allen, J. S., Huyer, A., and Smith, R. L.(1987a), "Large-Scale Structure of the Spring Transition in the Coastal Ocean of f Western North America,"Journal of Geophysical Research, 92,1527-1544.
39. Strub, P. T., Allen, J. S., Huyer, A., Smith, R. L., and Beardsley, R. C.(1987b), "Seasonal Cycles of Currents, Temperatures, Winds, and Sea Level Over the Northeast Pacific Continental Shelf: 35N to 48 N," Journal of Geophysical Research, 92,1507-1526.
40. Strub, P. T., and James, C.(1988), "Atmospheric Conditions During the Spring and Fall Transitions in the Coastal Ocean of f the Western United States,"Journal of Geophysical Research, 93, 15561-15584.