Estimation of the bispectra and phase distribution of storm sea states with abnormal waves

Ocean Engineering

Volumn 34, Issue 14-15, 2007, Pages 2009-2020

  Cherneva, Z ^a   Guedes Soares, C ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Abnormal waves; Bispectrum; Cumulant spectra; Freak waves; Phase coupling; Phase distribution; Rogue waves

Indexed keywords

ABNORMAL WAVES; BISPECTRA; CUMULANT SPECTRA; FREAK WAVES; PHASE COUPLING; PHASE DISTRIBUTION; ROGUE WAVES; SEA WAVES; WIND WAVES;

ESTIMATION; NUMERICAL METHODS; SPECTRUM ANALYSIS; STORMS; TIME SERIES ANALYSIS; WIND;

WATER WAVES;

ESTIMATION; NUMERICAL METHODS; SPECTRUM ANALYSIS; STORMS; TIME SERIES ANALYSIS; WATER WAVES; WIND;

ABNORMALITY; ESTIMATION METHOD; STORM; TIME SERIES ANALYSIS; WAVE ACTION; WAVE FIELD; WAVE GENERATION; WIND WAVE;

EID: 34447501992     PISSN: 00298018     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.oceaneng.2007.02.010     Document Type: Article

References (37)

1. Batchelor G. Pressure fluctuations in isotropic turbulence. Proceeedings of the Cambridge Philosophical Society 47 2 (1951) 359-374
2. Brillinger D. An introduction to polyspectra. Annals of Mathematical Statistics 36 (1965) 1351-1374
3. Brillinger D., and Rosenblatt M. Computation and integration of kth order spectra. In: Harris B. (Ed). Spectral Analysis of Time Spectra (1967), Wiley, NY 189-232
4. Cherneva Z. Second order interaction spectra for shallow-water wind waves. Oceanology, S. 17 (1988) 3-11 (in Bulgarian)
5. Cherneva, Z., 1999. Wind wave in the coastal zone as a nonlinear probability process. In: Proceedings of the International MEDCOAST Conference on Wind Wave Climate of the Mediterranean and the Black Sea, NATO Science for Stability Program, pp. 71-80.
6. Cherneva, Z., Guedes Soares, C., 2001. Local non-stationary properties of wind wave groups. In: Proceedings of the International Conference "Design and Operation for Abnormal Conditions II, RINA, 6-7th November, London, UK, pp 137-145.
7. Cherneva Z., and Guedes Soares C. Bispectra and time-frequency spectra of wind waves in the coastal zone. In: Guedes Soares C., Garbatov Y., and Fonseca N. (Eds). Maritime Transportation and Exploitation of Ocean and Coastal Resources (2005), Francis & Taylor, London 1005-1014
8. Elgar S., and Guza R.T. Observations of bispectra of shoaling surface gravity waves. Journal of Fluid Mechanics 161 (1985) 425-448
9. Elgar S., and Guza R. Statistics of bicoherence. IEEE Transactions on Acoustic, Speech and Signal Processing 36 10 (1988) 1667-1668
10. Guedes Soares C., Cherneva Z., and Antão E. Characteristics of abnormal waves in North Sea storm sea states. Applied Ocean Research 25 (2003) 337-344
11. Hasselmann K., Munk W., and Mc Donald G. Bispectra of ocean waves. In: Rosenblatt M. (Ed). Time Series Analysis (1963), Wiley, NY 125-139
12. Haver, S., Andersen, O.J., 2000. Freak waves: rare realizations of a typical population or typical realizations of a rare population? In: Proceedings of the Tenth International Offshore and Polar Engineering Conference, Seattle, USA, May 28-June 2, pp. 123-130.
13. Heisenberg W. On the theory of statistical and isotropic turbulence. Proceedings of the Royal Society of London A 195 A1042 (1948) 402-406
14. Hinich M. Testing for Gaussianity and linearity of stationary time series. Journal of Time Series Analysis 3 (1982) 169-176
15. Hinich M., and Clay C. The application of the discrete Forier transform in the estimation of power spectra coherence and bispectra of geophysical data. Review of Geophysics 6 3 (1968) 347-363
16. Kesler S. Modern Spectral Analysis II (1986), IEEE Press, New York
17. Kharif C., and Pelinovsky E. Physical mechanisms of the rogue wave phenomenon. European Journal of Mechanics B/Fluids 22 (2003) 603-634
18. Leonov V.P., and Shiryaev A.N. On a method of calculation of semi-invariants. Theory of Probability and its Application 4 (1959) 1195-1208
19. Longuet-Higgins M.S. On the statistical distribution of the heights of sea waves. Journal of Marine Research XI 3 (1952) 245-266
20. Malakhov, A., 1978. Cumulant analysis of random non-Gaussian processes and their transformations. Soviet Radiochemistry, Moskow (in Russian).
21. McComas C.H., and Briscoe M.G. Bispectra of internal waves. Journal of Fluid Mechanics 97 (1980) 205-213
22. Mendel J. Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications. Proceedings of the IEEE 79 3 (1991) 278-305
23. Neshiba S., and Sobey C. Vertical cross coherence and cross bispectra between internal waves measured in a multiple layerd ocean. Journal of Geophysical Research 80 9 (1975) 1152-1162
24. Nikias C.L., and Raghuveer M. Bispectrum estimation: a digital signal processing framework. Proceedings of IEEE 75 (1987) 869-891
25. Ochi M.K. Applied Probability and Stochastic Processes (1990), Wily, NY 499p
26. Osborne, A.R., 2000. Nonlinear instability analysis of deep water wave trains: computation of maximum heights of rogue waves. In: Proceedings of the 19th International Offshore Mechanics and Arctic Engineering (OMAE), Paper OSU OFT-4033.
27. Pflug L., Ioup G., Ioup J., and Field R. Properties of higher-order correlations and spectra for bandlimited transients. Journal of Acoustical Society America 1 (1992) 975-988
28. Rodriguez, G.R., Guedes Soares, C., Pérez Martell, E., Nieto Borge, J.C., 1998. Non-uniformity in the wind generated gravity waves phase distribution. In: Proceedings 26th International Conference on Coastal Engineering (ICCE'98); Copenhagen, pp. 3668-3679.
29. Rosenblatt M., and Van Ness J. Estimation of the bispectrum. Annals of Mathematical Statistics 36 (1965) 1120-1136
30. Sasaki K., Sato T., and Yamashita Y. Real-time bispectral analysis of gear noise and its application to contactless diagnosis. Journal of Acoustical Society America 62 (1977) 382-387
31. Slunyaev, A., Pelinovsky, E., Guedes Soares, C., 2005. Modeling freak waves from the North Sea. Applied Ocean Research, in press.
32. Stratonovich, R., 1961. Selected problems in theory of fluctuations in radiotechnics, Soviet Radiochemistry, Moskow (in Russian).
33. Subba Rao T., and Gabr M. An Introduction to Bispectra Analysis and Bilinear Time-Series Models (1984), Springer-Verlag, NY pp. 42-43
34. Tayfun M., and Lo J. Envelope, phase and narrow-band models of sea waves. Journal of Waterway Post, Coast and Oceanic Engineering 115 5 (1989) 594-613
35. Tomita, H., Kawamura, T., 2000. Statistical analysis and inference from the in-situ data of the Sea of Japan with reference to abnormal and/or freak waves. In: Proceedings of the 10th International Offshore and Polar Engineering Conference (ISOPE), Seattle, USA, pp. 116-122.
36. Trulsen, K., Dysthe, K.B., 1997. Water wave kinematics computed with nonlinear Schrödinger theory. In: Proceedings of the 16th International Offshore Mechanics and Arctic Engineering Conference (OMAE); ASME vol. I, pp. 7-18.
37. Welch P. The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Transactions on Audio and Electroacoustics 15 (1967) 70-73