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Statistical properties of a moving wave-form

Published online by Cambridge University Press:  24 October 2008

M. S. Longuet-Higgins
M. S. Longuet-Higgins
Affiliation:
National Institute of OceanographyWormley
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Extract

Many of the statistical properties of a random noise function f(t) have been derived by Rice (4); for example, the mean frequency of zero crossings and the statistical distribution of maxima and minima. These distributions have been shown to apply quite accurately to physical phenomena; in particular, when f(t) represents the height of sea waves at a certain point or the pressure at a fixed point on the sea bed (1, 3, 5).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 52 , Issue 2 , April 1956 , pp. 234 - 245
Copyright
Copyright © Cambridge Philosophical Society 1956

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References

REFERENCES

(1)Barber, N. F.Ocean waves and swell (Lecture, Institution of Civil Engineers, London, 1950, 22 pp.).Google Scholar
(2)Cramér, H.Random variables and probability distributions (Camb. Tracts Math. no. 36, 1937).Google Scholar
(3)Longuet-Higgins, M. S.On the statistical distribution of the heights of sea waves. J. Mar. Res. 9 (1952), 245–66.Google Scholar
(4)Rice, S. O.The mathematical analysis of random noise. Bell Syst. tech. J. 23 (1944), 282–332CrossRefGoogle Scholar
(5)Watters, J. K.Distribution of height in ocean waves. N. Z. J. Sci. Tech. B, 34 (1953), 409–22.Google Scholar