Non-linearity and non-stationarity of the New Year abnormal wave

Applied Ocean Research

Volumn 30, Issue 3, 2008, Pages 215-220

  Cherneva, Z ^a   Guedes Soares, C ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Abnormal waves; Freak waves; High order spectra; Rogue waves; Time frequency analysis

Indexed keywords

LINEARIZATION; SPECTRUM ANALYSIS;

ABNORMAL WAVES; FREAK WAVES; HIGH ORDER SPECTRA; ROGUE WAVES; TIME-FREQUENCY ANALYSIS;

TIME SERIES;

FREQUENCY ANALYSIS; NONLINEAR WAVE; STANDING WAVE; WIND WAVE;

EID: 59749096375     PISSN: 01411187     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apor.2008.08.003     Document Type: Article

References (52)

1. Annenkov S, Badulin S. Multi-wave resonances and formation of high-amplitude waves in the ocean. In: Olagnon M, Athanassoulis G, editors. Rouge waves 2000. Ifremer; 2001. p. 205-13
2. Brillinger D. An introduction to polyspectra. Ann Math Statist 36 (1965) 1351-1374
3. Brillinger D., and Rosenblatt M. Computation and integration of k-th order spectra. In: Harris B. (Ed). Spectral analysis of time spectra (1967), John Wiley&Sons, NY 189-232
4. Cherneva Z. Wind wave in the coastal zone as a non-linear probability process. In: Ozhan E. (Ed). Proc. of the int. MEDCOAST conf. on wind wave climate of the mediterranean and the black sea (1999), NATO Science for Stability Program Publ., Ankara 71-80
5. Cherneva Z., and Guedes Soares C. Bispectra and time-frequency spectra of wind waves in the coastal zone. In: Guedes Soares C., Garbatov J., and Fonseca N. (Eds). Maritime transportation and exploitation of ocean and coastal resources vol. 2 (2005), Taylor and Francis Group, London 1005-1014
6. Cherneva Z., and Guedes Soares C. Estimation of the bispectra and phase distribution of storm sea states with abnormal waves. Ocean Eng 34 (2007) 2009-2020
7. Choi H., and Williams W. Improved time-frequency representation of multicomponent signals using exponential kernels. IEEE Trans Acoust Speech Signal Process 37 (1989) 862-871
8. Cohen L. Time frequency distributions. A review. Proc IEEE 77 (1989) 941-981
9. Claasen T., and Meeklenbrauker W. The Wigner distribution. A tool for time-frequency signal analysis; Part II; Discrete time signals. Phillips J Res 35 (1980) 276-300
10. Dean R. Abnormal waves: A possible explanation. In: Torum A., and Gudmestat O. (Eds). Water wave kinematics (1990), Kluwer 609-612
11. Draper L. Freak ocean waves. Oceanus 10 (1964) 13-15
12. Elgar E., and Guza R. Observations of bispectra of shoaling surface gravity waves. J Fluid Mech 161 (1985) 425-448
13. Elgar E., and Guza R. Nonlinear model predictions of bispectra of shoaling surface gravity waves. J Fluid Mech 167 (1986) 1-18
14. Fonolosa J., and Nikias C. Wigner higher order moment spectra: Definition, properties, computation and application to transient signal analysis. IEEE Tran Signal Process 41 (1993) 245-266
15. Fonolosa J., and Nikias C. Analysis on finite-energy signals using higher order moments and spectra-based time-frequency distributions. Signal Process 36 (1994) 315-328
16. Gerr N. Introducing a third-order Wigner distribution. Proc IEEE 76 (1988) 290-292
17. Giannakis G., and Mendel J. Identification of non-minimum phase systems using higher order statistics. IEEE Trans Acoust Speech Signal Process 37 (1989) 360-377
18. Giannakis G.B., and Mendel J. Cumulant-based order determination of non-Gaussian ARMA models. IEEE Trans Acoust Speech Signal Process 38 (1990) 1411-1423
19. Giannakis GB, Dandawate AV. Polyspectral analysis of nonstationary signals: Bases, consistency and HOS-WV. In: Proc signal processing workshop higher order Stat. 1991. p. 167-70
20. Guedes Soares C., Cherneva Z., and Antão E. Characteristics of abnormal waves in north sea storm sea states. Appl Ocean Res 25 (2003) 337-344
21. Guedes Soares C., Cherneva Z., and Antão E.M. Abnormal waves during hurricane camille. J Geophys Res 109 (2004) 1-7 10.1029/2003JC002244 [C08008]
22. Guedes Soares C., Cherneva Z., and Antão E. Steepness and asymmetry of the largest waves in storm sea states. Ocean Eng 31 (2004) 1147-1167
23. Guedes Soares C., and Cherneva Z. Spectrogram analysis of the time-frequency characteristics of ocean wind waves. Ocean Eng 32 (2005) 1643-1663
24. Hasselmann K. On the non-linear energy transfer in a gravity wave spectrum. Part I. J Fluid Mech 12 (1962) 481-500
25. Hasselmann K. On the non-linear energy transfer in a gravity wave spectrum. Part II. J Fluid Mech 15 (1962) 273-281
26. Hasselmann K. On the non-linear energy transfer in a gravity wave spectrum. Part III. J Fluid Mech 15 (1963) 385-398
27. Hasselmann K., Munk W., and McDonald G. Bispectra of ocean waves. In: Rosenblatt M. (Ed). Time series analysis (1963), Wiley, NY 125-139
28. Haver S. Freak waves - a suggested definition and consequences for marine structures. In: Proceedings rogue waves conference, IFREMER Brest. 2004
29. Haver S, Karunakaran D. Probabilistic description of crest heights of ocean waves. In: Proc. of the 5th international workshop on wave hindcasting and forecasting. 1998
30. Hlawatsch F., and Boudreaux-Bartels G. Linear and quadratic time-frequency signal representations. IEEE Signal Process Mag April (1992) 21-67
31. Huang N., Shen Z., Long S., Wu M., Shih H., Zheng Q., et al. The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis. Proc R Soc 454 (1998) 903-995
32. Kharif C., and Pelinovsky E. Physical mechanisms of the rogue wave phenomenon. European J Mech B/Fluids 22 (2003) 603-634
33. Kwon S.H., Lee H.S., and Kim C.H. Wavelet transform based coherence analysis of freak wave and its impact. Ocean Eng 32 13 (2005) 1572-1589
34. Kurkin A., and Pelinovsky E. Freak waves: Facts, theory and modeling (2004), Nizhegorod Techn Univ Printing House, Nizhny Novgorod p. 158 [in Russian]
35. Liu P. Wavelet spectrum analysis and ocean wind waves. In: Foufoula-Georgiou, and Kumar (Eds). Wavelets in geophysics (1994), Acad. Press, NY 151-166
36. Liu P. Is the wind wave frequency spectrum outdated?. Ocean Eng 27 (2000) 577-588
37. Liu P., and Mori N. Wavelet spectrum of freak waves in the ocean. Proc. of proc 27th int conf on coastal eng ICCE00 (2000), ASCE 1092-1098
38. Longuet-Higgins M. The effect of non-linearity on statistical distributions in the theory of sea waves. J Fluid Mech 17 (1963) 459-480
39. Longuet-Higgins M. On the skewness of the sea surface slopes. J Phys Oceanogr 12 (1982) 1283-1291
40. Massel S. Wavelet analysis for processing of ocean surface wave records. Ocean Eng 28 (2001) 957-987
41. Martin W., and Prost R. Wigner-Ville spectral analysis of non-stationary processes. IEEE Trans Acoust Speech Signal Process ASSP-33 (1986) 1461-1470
42. McComas H., and Briscoe M. Bispectra of internal waves. J Fluid Mech 97 (1980) 205-213
43. Mori N., Liu P.C., and Yasuda N. Analysis of freak wave measurements in the sea of Japan. Ocean Eng 29 (2002) 1399-1414
44. Nikias C.L., and Raghuveer M. Bispectrum estimation: A digital signal processing framework. Proc IEEE 75 (1987) 869-891
45. Peryn F., and Prost R. A unified definition for the discrete- time, discrete-frequency and discrete time-frequency Wigner distributions. IEEE Trans Acoust Speech Signal Process 34 (1986) 858-867
46. Petrova P., Cherneva Z., and Guedes Soares C. Distribution of crest heights in sea states with abnormal waves. Appl Ocean Res 28 (2006) 235-245
47. Petrova P., Cherneva Z., and Guedes Soares C. On the adequacy of second-order models to predict abnormal waves. Ocean Eng 34 (2007) 956-961
48. Rodriguez GR, Guedes Soares C, Pérez Martell E, Nieto Borge J. Non-uniformity in the wind generated gravity waves phase distribution. In: Proc 26th int conf on coastal eng. 1998. p. 3668-79
49. Slunyaev A., Pelinovsky E., and Guedes Soares C. Modeling freak waves from the north sea. Appl Ocean Res 27 (2005) 12-22
50. Tayfun M., and Lo J. Envelope, phase and narrow-band models of sea waves. J Wtrway Post Coast and Oc Eng ASCE 115 5 (1989) 594-613
51. Veltcheva A., and Guedes Soares C. Identification of the components of wave spectra by Hilbert Huang transform method. Appl Ocean Res 26 (2004) 1-12
52. Veltcheva A., and Guedes Soares C. Analysis of abnormal wave records by the Hilbert Huang transform method. J Atmos Ocean Technol 24 (2007) 1678-1689