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When testing onboard equipment of aircraft using for local monitoring, there is a need for mathematical models of signals reflected from the sea surface. The mathematical model of sea surface echoes based on the log-normal law is proposed, taking into account the spatiotemporal correlation function of the sea surface echo signal observed in the distance gate of the airborne locator of the aircraft. The proposed analytical expressions used to approximate the correlation functions are based on experimental data and a multidimensional logarithmic-normal model of fluctuations in the envelope of the echo signal. The model can be used in the design of onboard location complexes, in the interests of radar mapping, monitoring of environmental pollution, as well as for the synthesis of simulated sea-surface echo signals.

Mathematical Model of Location Signal Reflections from The Substrate Surface of The Sea Observed By On-Board Radar