Estimación espectral de ondas oceánicas por máxima entropía
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Abstract
This paper discusses the statistics of four criteria to estimate the order of the autorregressive process (AR) used to fit ocean wave data. These criteria are:
a) Final Prediction Error (FPE)
b) Autorregressive Transfer Function (CAT)
c) slope change of FPE function
d) Partial Autocorrelation (PA)
The Maximum Entropy Method (MEM TECHNIQUE) is used to estimate the spectra of two sets of data: with and without swell energy contributions. Each time series is 17 minutes long. It was found that the optimum filter prediction length is between 20 and 30 for signals without swell energy contribution, and between 35 and 45 otherwise.
MEM estimates are compared with conventional ones (smoothed periodogram). From MEM spectra estimates of different AR process order, the spectral moments are computed up to order four and no significant differences are found.
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References
AKAIKE, H., 1969. Power Spectrum Estimation through Autorregressive Model Fitting, Ann. Inst. Statist. Math. Vol. 21, pp. 407-419. DOI: https://doi.org/10.1007/BF02532269
BLACKMAN, R. B. and J. W. TUKEY, 1958. The measurement of the Power Spectra from the Point of View of Communication Engineering, New York, Dover Publications. DOI: https://doi.org/10.1002/j.1538-7305.1958.tb01530.x
BOX, G. E. P. and G. M. JENKINS, 1976. Time Series Analysis: Forecasting and Control, San Francisco, CA, Holden Day.
BURG, J. P., 1967. Maximum Entropy Spectral Analysis, paper presented at the 37th Meeting Soc. Explor. Geophys., Oklahoma City, Okla.
GRIFFITHS, L. J., 1975. Rapid Measurement of Digital Instantaneous Frequency, IEEE Trans. on Acoustics, Speech, and Signal Process., Vol ASSP-23, No. 2, pp. 207-222. DOI: https://doi.org/10.1109/TASSP.1975.1162662
GUTOWSKI, P. R. et al., 1978. Spectral Estimation: Fact or Fiction, IEEE Trans. Geosc. Electr., Vol. GE-16, No. 2. DOI: https://doi.org/10.1109/TGE.1978.294568
HOLM, S. and J. M. HOVEM, 1979. Estimation of Solar Ocean Wave Spectra by the Maximum Entropy Method, IEEE Journal Oce. Eng., Vol OE-4, No. 3, pp. 76-83. DOI: https://doi.org/10.1109/JOE.1979.1145426
JONES, R. H., 1965. A Reappraisal of the Periodogram in Spectral Analysis, Tectonometrics, Vol. 7, pp. 531-542. DOI: https://doi.org/10.1080/00401706.1965.10490296
MUNK, W. H. et al., 1963. Directional Recording of Swell from Distant Storms, Phil Trans. Royal Society, London, Vol. 255A, pp. 505-589. DOI: https://doi.org/10.1098/rsta.1963.0011
PARZEN, E., 1976. An Approach to Time Series Modelling and Forecasting Illustrated by Hourly Electricity Demands, Statistical Science Division, State Univ. New York at Buffalo, Tech. Rep. 37.
PLAISTED, R. Centro de Investigación Científica y Educación Superior de Ensenada, B. C. (No publicado).
ULRYCH, T. J., and T. N. BISHOP, 1975. Maximum Entropy Spectral Analysis and Autorregressive Decomposition, Rev. Geophys. and Space Phys., Vol. 13, No. 1, pp. 183-200. DOI: https://doi.org/10.1029/RG013i001p00183
VAN DEN BOS, A., 1971. Alternative Interpretation of Maximum Entropy Spectral Analysis. IEEE Trans. Inform. Theory, Vol. II-17, pp. 493-494. DOI: https://doi.org/10.1109/TIT.1971.1054660