Bias of Effective Degrees of Freedom of a Spectrum
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113, Issue 1
Abstract
Estimates of the effective number of degrees of freedom for integrals of a spectrum (e.g., significant wave height) are shown to be biased. The mean value of estimates of the effective degrees of freedom from unsmoothed spectra is one-half of the true value for a smoothed spectrum. Numerical simulations of JONSWAP spectra and field data agree well with the theoretical results.
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References
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Andrew, M. E., and Borgman, L. E. (1981). “Procedures for studying wave grouping in wave records from California Coastal Data Collection Program.” U.S. Army Corps of Engrs., San Francisco, Calif.
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Donelan, M., and Pierson, W. J. (1983). “The sampling variability of estimates of spectra of wind‐generated gravity waves.” J. Geophys. Res., 88, 4,381–4,392.
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Hasselman, K., et al. (1973). “Measurements of wind‐wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP).” Erg. Deutsch. Hydrograph. Zeitschr. Reihe A(8), 12, 1–95.
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Medina, J. R., Aguilar, J., and Diez, J. J. (1985). “Distortions associated with random sea simulators.” J. Waterway Port Coast. Ocean Engrg., ASCE, 111(4), 603–628.
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Young, I. R. (1986). “Probability distribution of spectral integrals.” J. Waterway Port Coast. Ocean Engrg., ASCE, 112(2), pp. 338–341.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113 • Issue 1 • January 1987
Pages: 77 - 82
Copyright
Copyright © 1987 ASCE.
History
Published online: Jan 1, 1987
Published in print: Jan 1987
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