Abstract
IN the study of the observed properties of random noise, for example, ocean wave records, it has been pointed out by Barber1 that, for a narrow spectrum, the probability distribution of amplitude approximates to the distribution of the wave envelope. Since the latter distribution is simple to use and gives a good fit for the higher waves, the approximation is of practical value, and has been discussed in the literature by Longuet-Higgins2 and Watters3.
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References
Paper read before the Institution of Civil Engineers, Maritime and Waterways Engineering Division, London, February 7, 1950.
Longuet-Higgins, M. S., J. Mar. Res., 11, 245 (1952).
Watters, Jessie K. A., N.Z. J. Sci. Tech., B, 34, 408 (1953).
Rice, S. O., Bell Syst. Tech. J., 24, 76 (1945).
Rice, S. O., Bell Syst. Tech. J., 27, 122 (1948).
Rice, S. O., Bell Syst. Tech. J., 24, 54 (1945).
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WOODING, R. Approximate Joint Probability Distribution for Wave Amplitude and Frequency in Random Noise. Nature 176, 564–565 (1955). https://doi.org/10.1038/176564a0
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DOI: https://doi.org/10.1038/176564a0
