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Springer Proceedings in Earth and Environmental Sciences

ISSN:2524342

2022

10.1007/978-3-030-99504-1_3

The influence of the choice of the probability density function (PDF) of sea surface elevations on the shape of the altimeter pulse reflected from the sea surface is analyzed. Currently, the main PDF model in problems of interaction of radio waves with the sea surface is a model based on the truncated Gram-Charlier series. This model allows us to describe changes in elevations only in a limited range, beyond which strong distortions occur, up to the appearance of negative values. The relatively small number of members of the Gram-Charlier series is due to the fact that in field experiments it is possible to determine the cumulants of elevations no older than the fourth order. Distortion at the tails of the distribution when calculating the reflected pulse of the altimeter leads to distortion of its shape, as a result, an error occurs in determining the level of the sea surface. For application of reflection of radio waves from the sea surface, it is proposed to use PDF in the form of a Gaussian mixture, free from the limitation of the truncated Gram-Charlier series. The parameters of the Gaussian mixture, as well as the parameters of the truncated Gram-Charlier series, are calculated based on the first four cumulants

Altimetry, Brown model, Distribution of surface elevations, Remote sensing, Sea surface

2022-07-13 11:59:36