TECHNICAL PAPERS
Jan 1, 1994

Estimation of Wave Directional Spectra from Pitch‐Roll Buoy Data

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 120, Issue 1

Abstract

Estimates of the directional wave spectrum are generally extracted from data obtained by a heave‐pitch‐roll buoy. Many different spectra estimators are now available, and there is a question as to which one is the more reliable in different environmental conditions. Routine data analysis and wave‐spectra calculation require a computationally efficient and robust estimator. Five different directional spectrum estimates are compared for both synthetic and field data. Synthetic data consists of reconstructed cross‐spectral density matrices with and without noise, and the field data come from the Atlantic Ocean via the Surface Wave Dynamics Experiment (SWADE). Directional spreading and higher‐order statistics of the wave field are compared for each technique. Test results indicate that the maximum likelihood method (MLM) estimator, although not considered an “optimal” estimator, gives the most consistent and predictable results, and should therefore be favored over more traditionally used direct Fourier transform methods. Other spectral estimators, such as the maximum entropy method, iterative MLM, and eigen vector MLM, outperform the MLM in many cases, but have unwanted characteristics, such as wavenumber dependence, high sensitivity to noise, and numerical instability. Results outline the fact that none of the directional spectra estimators performs very well in every case and that care should be taken in data interpretation for engineering applications.

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References

1.
Anctil, F., Donelan, M. A., Forristal, G. Z., Steele, K. E., and Ouellet, Y. (1993). “Deep water field evaluation of NDBC‐SWADE 3‐m discus directional buoy.” J. Atmos. and Ocean. Tech., 10(1), 97–112.
2.
Brissette, F. P., Tsanis, I. K., and Wu, J. (1993). “Wave directional spectra and wave‐current interaction in Lake St. Clair.” J. Great Lakes Res., 19(3), 553–568.
3.
Brissette, F. P., and Tsanis, I. K. (1992). “An integrated software for the analysis of directional seas.” Computer techniques in environmental studies IV, P. Zannetti, ed., Elsevier, New York, N.Y., 359–369.
4.
Brissette, F. P. (1992). “Estimation of wave directional spectra and applications to the study of surface gravity water waves,” PhD thesis, McMaster University, Hamilton, Ontario, Canada.
5.
Capon, J. (1969). “High‐resolution frequency‐wavenumber spectrum analysis.” Proc. IEEE, 57, 1408–1418.
6.
Donelan, M. A., Hamilton, J., and Hui, W. H. (1985). “Directional spectra of windgathered waves.” Phil. Trans., R. Soc. Lond., London, England, A‐315, 509–562.
7.
Herbers, T. H. C., and Guza, R. T. (1990). “Estimation of directional wave spectra from multi‐components observations.” J. Phys. Oceanogr., 20, 1703–1724.
8.
Isobe, M., Kondo, K., and Horikawa, K. (1984). “Extension of the MLM for estimating directional wave spectrum.” Symp. on Desc. and Model. of Direc. Seas, Tech. University, Denmark, A‐6, 1–15.
9.
Jefferys, E. R. (1986). “Comparison of three methods for calculation of directional spectra.” Proc., 5th Int. Off. Mech. and Artic Engrg. Symp., ASME, New York, N.Y., vol. I, 45–50.
10.
Jefferys, E. R., Wateham, G. T., Ramsden, M. A., and Platts, M. J. (1981). “Measuring directional spectra with the MLM.” Proc., Directional Wave Spectra App. Conf., University of California, Berkeley, Calif., 203–219.
11.
Kobune, K., and Hashimoto, N. (1986). “Estimation of directional spectra from the maximum entropy principle.” Proc., 5th Int. Off. Mech. and Artic Engrg. Symp., ASME, New York, N.Y., 80–85.
12.
Krogstad, H. E., Gordon, R. L., and Miller, M. C. (1988). “High‐resolution directional wave spectra from horizontally mounted acoustic doppler current meters.” J. Atmos. Ocean. Tech., 5, 340–352.
13.
Kuik, A. J., VanVledder, G. P., and Holthuijsen, L. H. (1988). “A method for the routine analysis of pitch and roll buoy wave data.” J. Phys. Oceanogr., 18, 1020–1034.
14.
Lacoss, P. (1971). “Data adaptive spectral analysis methods.” Geophys., 365(4), 661–675.
15.
Lawson, L. M., and Long, R. B. (1983). “Multimodal properties of the surface‐wave field observed with pitch‐roll buoys during GATE.” J. Phys. Oceanogr., 13, 474–486.
16.
Long, R. B., and Hasselmann, K. (1979). “A variational technique for extracting directional spectra from multi‐component wave data.” J. Phys. Oceanogr., 9, 373–381.
17.
Long, R. B. (1980). “The statistical evaluation of directional spectrum estimates derived from pitch/roll buoy data.” J. Phys. Oceanogr., 10, 944–952.
18.
Longuet‐Higgins, M. S., Cartwright, D. E., and Smith, N. D. (1963). “Observations of the directional spectrum of sea waves using the motions of a floating buoy.” Ocean Wave Spectra, Prentice‐Hall, Englewood Cliffs, N.J., 111–132.
19.
Lygre, A., and Krogstad, H. E. (1986). “Maximum entropy estimation of the directional distribution in ocean wave spectra.” J. Phys. Oceanogr., 16, 2052–2060.
20.
Marsden, R. F., and Juszko, B.‐A. (1987). “An eigenvector method for the calculation of directional spectra from heave, pitch and roll buoy data.” J. Phys. Oceanogr., 17, 2157–2167.
21.
Oltman‐Shay, J., and Guza, R. T. (1984). “A data adaptive ocean wave directional spectrum estimator for pitch/roll type measurements.” J. Phys. Oceanogr., 14, 1800–1810.
22.
Pawka, S. S. (1983). “Island shadows in wave directional spectra.” J. Geophys. Res., 88, 2579–2591.
23.
Tsanis, I. K., and Brissette, F. P. (1992). “Wave directional spectra studies in Lake Ontario.” J. Great Lakes Res., 18(3), 489–506.
24.
Weller, R. A., Donelan, M. A., Briscoe, M. G., and Huang, N. E. (1991). “Riding the crest: a tale of two wave experiments.” Bull. Amer. Meteorol. Soc., 72(2), 163–183.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 120Issue 1January 1994
Pages: 93 - 115

History

Received: Jul 14, 1992
Published online: Jan 1, 1994
Published in print: Jan 1994

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Authors

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F. P. Brissette
École de Technologie Supérieure, Université du Québec, 4750 Henri‐Julien Street, Montréal, Que., Canada, H2T 2C8
Formerly, Grad. Stud., Dept. of Civ. Engrg., McMaster Univ., Hamilton, Ont., Canada, L8S 4L7
I. K. Tsanis, Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., McMaster Univ., Hamilton, Ont., Canada, L8S 4L7

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