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Abstract
In this work a mathematical model is developed that makes it possible to analyze theoretically the structure of frequency modulated (FM) radar signals. The scatterer is assumed to consist of layers of dielectric random medium. For computational reasons, the single scattering approximation is used in the examples. The emphasis is on the numerical analysis of the range resolution power of the radar and on the statistical properties of the signal scattered by a random medium. The signal is expressed in terms of range ambiguity functions, and on the other hand the effect of the stochastic distribution of the scattering medium on the statistical structure of the signal is analyzed in detail. This formulation yields a method of producing well-controlled synthetic data when the stochastic parameters of the medium are known.