Complex Envelope of Surface Gravity Waves
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 115, Issue 5
Abstract
The complex envelope function is presented as the natural analysis technique for wave records where the identification of wave groups is a dominant interest. Algorithms have been developed and confirmed for separation of the complex envelope function, estimation of the dominant frequency, and unwrapping of the phase function. Cross‐correlograms and coherence spectra reveal a link between the envelope amplitude and phase traces that appears to be an intrinsic signature of wave groups. Nevertheless, the majority of the information in typical wave records can be categorized as linear and random, confirming the relative success of the Gaussian random wave model.
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References
1.
Ang, A. H‐S., and Tang, W. H. (1975). Probability concepts in engineering planning and design. John Wiley and Sons, New York, N.Y.
2.
Battjes, J. A., and van Vledder, G. P. (1984). “Verification of Kimura's theory for wave group statistics.” Proc., 19th Int. Conf. on Coast. Engrg., ASCE, Houston, Tex., 1, 642–648.
3.
Bingham, C., Godfrey, M. D., and Tukey, J. W. (1967). “Modern techniques of power spectrum estimation.” IEEE Trans. on Audio and Electroacoustics, 15(2), 56–66.
4.
Bitner‐Gregersen, E. M., and Gran, S. (1983). “Local properties of sea waves derived from a wave record.” Appl. Ocean Res., 5(4), 210–214.
5.
Bloomfield, P. (1976). Fourier analysis of time series, John Wiley and Sons, New York, N.Y.
6.
Bolt, B. A., and Brillinger, D. R. (1979). “Estimation of uncertainties in eigenspectral estimates from decaying geophysical time series.” Geophys. J. of Royal Astronomical Soc., 59(3), 593–603.
7.
Deutsch, R. (1962). Nonlinear transformations of random processes. Prentice‐Hall, Englewood Cliffs, N.J.
8.
Funke, E. R., and Mansard, E. P. D. (1980). “On the synthesis of realistic sea states.” Proc., 17th Int. Conf. on Coast. Engrg., Sydney, Australia, ASCE, 3, 2974–2991.
9.
Hasan, T. (1983). “Complex demodulation: Some theory and applications.” Handbook of Statistics, 3, D. R. Brillinger and P. R. Krishnaiah, eds., Elsevier, New York, N.Y., 125–156.
10.
Jenkins, G. M., and Watts, D. G. (1968). Spectral analysis and its applications. Holden‐Day, San Francisco, Calif.
11.
Kendall, M. G., and Stuart, A. (1966). The advanced theory of statistics. Hafner Publishing Co., New York, N.Y.
12.
Kimura, A. (1980). “Statistical properties of random wave groups.” Proc., 17th Int. Conf. on Coast. Engrg., Sydney, Australia, ASCE, 3, 2955–2973.
13.
Longuet‐Higgins, M. S. (1952). “On the statistical distribution of the heights of sea waves.” J. Marine Res., 11(3), 245–266.
14.
Longuet‐Higgins, M. S. (1984). “Statistical properties of wave groups in a random sea state.” Philosophical Trans., Royal Soc. of London, London, U.K., A312, 219–250.
15.
Melville, W. K. (1983). “Wave modulation and breakdown.” J. Fluid Mech., 128, Mar., 489–506.
16.
Read, W. W., and Sobey, R. J. (1987). “The phase spectrum of surface gravity waves.” J. Wtrway., Port, Coast., and Oc. Engrg., ASCE, 113(5), 507–522.
17.
Rice, S. O. (1944). “Mathematical analysis of random noise.” Bell System Tech. J., 23(3), 282–332.
18.
Rice, S. O. (1945). “Mathematical analysis of random noise.” Bell System Tech. J., 24(1), 46–156.
19.
Sobey, R. J. (1986). “Wind wave prediction.” Annual Rev. of Fluid Mech., 18, 149–172.
20.
Sobey, R. J., and Colman, E. J. (1982). “Natural wave trains and scattering transform.” J. of Wtrwy., Port, Coast., and Oc. Div., ASCE, 108(3), 272–290.
21.
Sobey, R. J., and Colman, E. (1983). “Scattering analysis and synthesis of wave trains.” J. of Australian Math. Soc., Series B, Special Issue on Waves and Fluids, 25, 44–63.
22.
Sobey, R. J., and Read, W. W. (1984). “Wave groups in the frequency and time domains.” Proc., 19th Int. Conf. on Coastal Engrg., Houston, Tex., ASCE, 1, 695–706.
23.
Sobey, R. J., and Young, I. R. (1986). “Hurricane wind waves—A discrete spectral model.” J. Wtrway., Port, Coast., and Oc. Engrg., ASCE, 112(3), 370–389.
24.
Tayfun, M. A. (1983). “Frequency analysis of wave heights based on wave envelope.” J. Geophys. Res., 88(C12), 7573–7587.
25.
Thompson, E. F., and Seelig, W. N. (1984). “High wave grouping in shallow water.” J. Wtrway., Port, Coast., and Oc. Engrg., ASCE, 110(2), 139–157.
26.
Thompson, W. C., Nelson, A. R., and Sedivy, D. G. (1984). “Wave group anatomy of ocean wave spectra.” Proc., 19th Int. Conf. on Coast. Engrg., Houston, Tex., ASCE, 1, 665–677.
Information & Authors
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 115 • Issue 5 • September 1989
Pages: 681 - 700
Copyright
Copyright © 1989 ASCE.
History
Published online: Sep 1, 1989
Published in print: Sep 1989
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