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Distributions of spatial wave size for random fields

Conference paper
Authors Podgorski Krzysztof
Igor Rychlik
Published in 2nd International Conference on Event-Based Control, Communication, and Signal Processing (EBCCSP), Krakow, POLAND, JUN 13-15, 2016
Publication year 2016
Published at Department of Mathematical Sciences
Language en
Subject categories Mathematics


A method of measuring three-dimensional spatial wave size is proposed and statistical distributions of the size characteristics are derived in explicit integral forms for Gaussian sea surfaces. New definitions of wave characteristics such as the crest-height, the length, the size and the wave front location are provided in fully dimensional context. The joint statistical distributions of these wave characteristics are derived using the Rices formulas for expected numbers of local maximum and distance from a local maximum to a level crossing countour. %The methodology will be also illustrated by some examples from other type of engineering applications. Review of the Rice's method to study crossing distributions is given.

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