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Statistical properties of a moving wave-form

  • M. S. Longuet-Higgins (a1)
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).

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COPYRIGHT: © Cambridge Philosophical Society 1956
References
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(1)Barber, N. F.Ocean waves and swell (Lecture, Institution of Civil Engineers, London, 1950, 22 pp.).
(2)Cramér, H.Random variables and probability distributions (Camb. Tracts Math. no. 36, 1937).
(3)Longuet-Higgins, M. S.On the statistical distribution of the heights of sea waves. J. Mar. Res. 9 (1952), 245–66.
(4)Rice, S. O.The mathematical analysis of random noise. Bell Syst. tech. J. 23 (1944), 282–332
(5)Watters, J. K.Distribution of height in ocean waves. N. Z. J. Sci. Tech. B, 34 (1953), 409–22.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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