“Maximum likelihood estimation of ocean wave spectra from general arrays of wave gauges”

Authors: Harald E. Krogstad,
Affiliation: OCEANOR
Reference: 1988, Vol 9, No 2, pp. 81-97.

Keywords: Maximum Likelihood Method (MLM), wave spectra, arrays

Abstract: The paper discusses estimation of directional ocean wave spectra from a spatial array of sensors by means of the Maximum Likelihood (ML) method. An iterative improvement of the ML estimate is proposed and illustrated on synthetic and real data. The wave data was obtained by an acoustic Doppler current meter in the Current Measurement Experiment (CUMEX) carried out by Esso Norge a.s at the Odin platform in the Norwegian Sea.

PDF PDF (2250 Kb)        DOI: 10.4173/mic.1988.2.3

DOI forward links to this article:
[1] K. C. Ewans and T. van der Vlugt (1999), doi:10.1115/1.2829562
[2] Jean-Baptiste Saulnier, Christophe Maisondieu, Ian Ashton and George H. Smith (2012), doi:10.1016/j.apor.2012.02.001
[3] V. Venugopal, J. Wolfram and B.T. Linfoot (2005), doi:10.1016/j.oceaneng.2004.07.009
[4] M. Donelan, A. Babanin, E. Sanina and D. Chalikov (2015), doi:10.1002/2015JC010808
[5] D.W. Fredriksson, C.N. Steppe, L. Luznik, L. Wallendorf and R.H. Mayer (2016), doi:10.1016/j.aquaeng.2015.12.003
[6] Guiomar Lopez, Daniel C Conley and Deborah Greaves (2016), doi:10.1175/JTECH-D-15-0159.1
[7] Dimitra I. Malliouri, Constantine D. Memos and Michalis K. Chondros (2016), doi:10.1080/23249676.2016.1172270
[8] Abushet Simanesew, Harald E. Krogstad, Karsten Trulsen and José Carlos Nieto Borge (2016), doi:10.1016/j.apor.2016.06.011
[9] Michel Benoit and Charles Teisson (1995), doi:10.1061/9780784400890.004
[10] M. L. McAllister, T. A. A. Adcock, P. H. Taylor and T. S. van den Bremer (2018), doi:10.1017/jfm.2017.774
[11] Abushet W. Simanesew, Harald E. Krogstad, Karsten Trulsen and José Carlos Nieto Borge (2018), doi:10.1175/JTECH-D-17-0007.1
[12] Bin Zhao, Wei Zheng, Li Hui, Ying Yang, Chengji Lu, Li Yang, Zhi Wang and Xiangtao Ran (2017), doi:10.1109/ICSESS.2017.8342995
[13] Harald E. Krogstad (1991), doi:10.1007/978-3-663-01312-9_4
[14] Guiomar Lopez and Daniel C. Conley (2019), doi:10.3390/jmse7080271
[15] D.G. Gryazin and K.A. Gleb (2020), doi:10.1088/1742-6596/1536/1/012006
[16] K. A. Gleb (2020), doi:10.32603/1993-8985-2020-23-4-57-65
[17] Maria Francesca Bruno, Matteo Gianluca Molfetta, Vincenzo Totaro and Michele Mossa (2020), doi:10.3390/jmse8030214
[1] BARSTOW, S.F., KROGSTAD, H.E. (1984). General analysis of directional ocean wave data from heave/pitch/roll buoys, Modeling, Identification and Control, 5, 47-70 doi:10.4173/mic.1984.1.3
[2] BORGMAN, L.E. (1979). Directional spectra from wave sensors, in Ocean wave climate, Ed.: M. D. Earle and A. Malahoff. vol. 88, pp. 269-300 Marine Science Series,.Plenum Press, New York.
[3] BORGMAN, L.E. (1982). Maximum-entropy and data-adaptive procedures in the investigation of ocean waves, Manuscript presented at the Second Workshop on Maximum Entropy and Bayesian Methods in Applied Statistics, Laramie, Wyoming.
[4] BOX, G.E.P., JENKINS, G.M. (1976). Time Series Analysis, Forecasting and Control, Holden-Day Inc., San Francisco.
[5] BRILLINGER, D.R. (1975). Time Series, Data Analysis and Theory, Holt Rinehart and Winston, Inc., New York.
[6] CAPON, J. (1969). High resolution frequency-wavenumber spectrum analysis, Proc. IEEE, 57, 1408-1418 doi:10.1109/PROC.1969.7278
[7] CAPON, J. (1979). Maximum-likelihood spectral estimation, in Nonlinear Methods in Spectral Analysis, pp. 155-179, edited by S. Heykin.Springer, Berlin, Heidelberg, New York.
[8] DAVIES, R.E. REGIER, L.A. (1977). Methods for estimating directional wave spectra from multi-element arrays, J. Mar. Res., 35, 453-477.
[9] GIHMAN, I.I. SKOROHOD, A.V. (1974). The Theory of Stochastic Processes, vol..Springer, Berlin, Heidelberg.
[10] GORDON, R.L. SKORSTAD, H.E. (1985). North Sea current data will upgrade platform design, Ocean Industry, July 1985.
[11] HANNAN, E.J. (1970). Multiple Time Series, Wiley, New York doi:10.1002/9780470316429
[12] ISOBE, M., KONDO, K., HORIKAWA, K. (1984). Extension of MLM for estimating directional wave spectra, Proc. Symp on Description and Modelling of Directional Seas, June 18-20, 1984, Lyngby, Denmark.
[13] JEFFREYS, E.R., WAREHAM, G.T., RAMSDEN, N.A., PLATES, M.J. (1981). Measuring directional spectra with the MLM, Proc. Directional Wave Spectra Applications, pp. 203-218, Berkeley, California, Publ. by ASCE, New York.
[14] KINSMAN, B. (1965). Wind waves, Prentice Hall, Inc., Englewood Cliffs, New Jersey.
[15] KROGSTAD, H.E., MILLER, M. GORDON, R.L. (1988). High resolution directional wave spectra from horizontally mounted acoustic Doppler current meters, to appear in J. of Atmospheric and Oceanic Techn., February, 1988.
[16] LYGRE, A. KROGSTAD, H.E. (1986). Maximum entropy estimation of the directional distribution in ocean wave spectra, J. Phys. Ocean., 16, 2052-2060.
[17] MARDIA, K.V., KENT, J.T., BIBBY, J.M., (1979). Multivariate Analysis, Academic Press, London.
[18] McDONOUGH, R.N. (1979). Application of the maximum likelihood method and the maximum entropy method to array processing, in Nonlinear Methods in Spectral Analysis, pp. 181-244, edited by S. Haykin,.Springer, Berlin, Heidelberg, New York.
[19] OLTMAN-SHAY, J. GUZA, R.T. (1984). A data-adaptive ocean wave directional-spectrum estimator for pitch/roll type measurements, J. Phys. Ocean., 14, 1800-1810.
[20] PAWKA, S.S. (1983). Island shadows in wave directional spectra, J. Geophys. Res. 88, 2579-2591 doi:10.1029/JC088iC04p02579
[21] PHILLIPS, O.M., (1977). The Dynamics of the Upper Ocean, 2nd Ed..Cambridge University Press, Cambridge.

  title={{Maximum likelihood estimation of ocean wave spectra from general arrays of wave gauges}},
  author={Krogstad, Harald E.},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}