TECHNICAL PAPERS
Sep 1, 1987

Phase Spectrum of Surface Gravity Waves

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113, Issue 5

Abstract

The common analysis technique for field records of wind waves is the variance spectrum. The phase spectrum, half of the information available from the record, is routinely ignored on the assumption that the Gaussian random wave model is a sufficiently complete description of the record. Procedures are developed for unwrapping and detrending the phase spectrum. Evaluation of these algorithms provide insight into the potential identification of ordered structures, possibly wave groups, in the phase spectrum without sacrificing the convenience of linear analysis.

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References

1.
Abramowitz, M., and Stegun, I. A., eds. (1965). Handbook of mathematical functions, Dover Publications, Inc., New York, N.Y.
2.
Ang, A. H.‐S., and Tang, W. H. (1975). Probability concepts in engineering planning and design. John Wiley and Sons, Inc., New York, N.Y.
3.
Battjes, J. A., and van Vledder, G. P. (1984). “Verification of Kimura's theory for wave group statistics,” Proceedings, 19th Intl. Conference on Coastal Engrg., Houston, Tex., ASCE, 1, 642–648.
4.
Bloomfield, P. (1976). Fourier analysis of time series: an introduction. John Wiley and Sons, Inc., New York, N.Y.
5.
Brigham, E. O. (1974). The fast Fourier transform. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
6.
Burcharth, H. F. (1980). “Comparison of nature waves and model waves with special reference to wave grouping.” Proceedings, 17th Intl. Conference on Coastal Engrg., Sydney, Australia, 2992–3009.
7.
Elgar, S., Guza, R. T., and Seymour, R. J. (1984). “Prediction of wave group statistics.” Proceedings, 19th Intl. Conference on Coastal Engrg., Houston, Tex., ASCE, 1, 770–781.
8.
Funke, E. R., and Mansard, E. P. D. (1980). “On the synthesis of realistic sea states.” Proceedings, 17th Intl. Conference on Coastal Engrg., Sydney, Australia, 2974–2991.
9.
Funke, E. R., and Mansard, E. P. D. (1981). “On the meaning of phase spectra in the Fourier transform of random waves.” Proceedings Intl. Conference Hydro. in Ocean Engrg., Trondheim, Norway.
10.
Goda, Y. (1983). “Analysis of wave grouping and spectra of long‐travelled swell.” Report, Port and Harbour Res. Inst., 22, 3–41.
11.
Hamilton, J., Hui, W. H., and Donelan, M. A. (1979). “A statistical model for groupiness in wind waves.” J. Geophysical Res., 84, 4875–4994.
12.
Lanczos, C. (1956). Applied analysis, Prentice‐Hall, Inc., Englewood Cliffs, N.J.
13.
Lewis, P. A., Goodman, A. S., and Miller, J. M. (1969). “Pseudo‐random number generator for the System/360.” IBM Systems J., 8, 136–146.
14.
Moilo‐Christensen, E., and Ramamonjiarisoa, A. (1978). “Modeling the presence of wave groups in a random wave field.” J. Geophysical Res., 83, 4117–4122.
15.
Oppenheim, A. V., and Schafer, R. W. (1975). Digital Signal Processing. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
16.
Rice, S. O. (1945). “Mathematical analysis of random noise.” Bell Systems Tech. J., 24, 46–156.
17.
Rye, H. (1983). “Ocean wave groups: Their relation to spectral information and their reproduction by means of laboratory or numerical simulation.” Proceedings, Intl. Conference Coastal and Port Engrg. in Developing Countries, Colombo, Sri Lanka, 1274–1289.
18.
Sobey, R. J., and Colman, E. J. (1982). “Natural wave trains and scattering transform.” J. Waterway, Port, Coastal, and Ocean Engrg., ASCE, 108(3), Aug., 272–290.
19.
Sobey, R. J., and Colman, E. J. (1983). “Scattering analysis and synthesis of wave trains.” J. Australian Math. Soc., Series B, Special Issue on Waves and Fluids, 25, 44–63.
20.
Sobey, R. J., and Read, W. W. (1984). “Wave groups in the frequency and time domains.” Proceedings, 19th Intl. Conference on Coastal Engrg., Houston, Tex., ASCE, 1, 695–707.
21.
Su, M.‐Y., Bergin, M. T., and Bales, S. L. (1982). “Characteristics of wave groups in storm seas.” Proceedings, Ocean Struct. Dynamics Symp., Corvallis, Oreg., ASCE, 118–132.
22.
Thompson, E. F., and Seelig, W. N. (1984). “High wave grouping in shallow water.” J. Waterway, Port, Coastal, and Ocean Engrg., ASCE, 110(2), May, 139–157.
23.
Thompson, W. C., Nelson, A. R., and Sedivy, D. G. (1984). “Wave group anatomy of ocean wave spectra.” Proceedings, 19th Intl. Conference on Coastal Engrg., Houston, Tex., ASCE, 1, 661–677.
24.
Tribolet, J. M. (1977). “A new phase unwrapping algorithm.” IEEE Trans., Acoustics, Speech, and Signal Processing. ASSP‐25, 170–177.

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Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113Issue 5September 1987
Pages: 507 - 521

History

Published online: Sep 1, 1987
Published in print: Sep 1987

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Authors

Affiliations

W. Wayne Read
Lect., Dept. of Comp. Sci., James Cook Univ., Townsville, Queensland 4811, Australia
Rodney J. Sobey, M. ASCE
Prof., Dept. of Civ. Engrg., Univ. of California, Berkeley, CA 94720

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