International Journal of Soft Computing

Year: 2021
Volume: 16
Issue: 3
Page No. 59 - 63

Mathematical Models of Location Signals Reflected from the Underlying Surfaces of the Earth and the Sea Modeling SAR Images for Ecosystem Monitoring Task

Authors : Gysberth Maurits Wattimena

Abstract: When testing onboard equipment of aircraft using navigation radar maps for navigation, there is a need for mathematical models of signals reflected from the earth’s surface and the sea surface. Traditionally, using theoretical constructions, such models were models of stochastic signals, the envelope fluctuations were described by the laws of Rayleigh and Rayleigh-Rice. These models were used both for simulating signals reflected from the earth’s surface, and for signals reflected from the sea surface. With low resolution of airborne radars, these models described the statistical characteristics of fluctuating signals quite well. Modern onboard locators have high resolving power and the Rayleigh and Rice models can no longer be used in the synthesis and modeling of modern on-board navigation systems. In this study, we propose an approach to the construction of models of location signals that uses both theoretical construction and experimental data which allows us to take into account the features of the reflection of the location signals from small parts of the underlying surface of the earth and the sea, while taking into account both the correlation between the individual sections and the an isotropy of the reflections when observing areas from different angles. Reflections from the sea surface are approximated by a log-normal law, reflections from the terrestrial in view of the variety of surface types, Beckman and Weibull laws, particular cases of which are the laws of Rice, Hoyt and Rayleigh. These models can be used for high-precision mapping, monitoring environmental pollution, testing the operating modes of aircraft equipment.

How to cite this article:

Gysberth Maurits Wattimena , 2021. Mathematical Models of Location Signals Reflected from the Underlying Surfaces of the Earth and the Sea Modeling SAR Images for Ecosystem Monitoring Task. International Journal of Soft Computing, 16: 59-63.

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