Determination of the parameters of a four-point partially coherent model of radar object based on its equivalence to a five-point non-coherent model
The problem of determining the parameters of a four-point partially coherent model of radar object based on its equivalence to a five-point non-coherent model was solved. The obtained analytical relations describe the spectral and correlation characteristics of signals delivered to the emitters of the four-point partially coherent model of the matrix simulator emitting statistically dependent normal random processes. Correlations are defined based on the equivalence of a four-point model emitting correlated signals and five-point model emitting uncorrelated signals. Moreover, the projections of an original five-point non-coherent model onto two mutually orthogonal coordinate axes are reviewed. Based on that, the projections onto the same axes of a four-point partially coherent model are derived. Expressions relating to the derived projections and required four-point partially coherent model are obtained. Conditions that are necessary for the synthesis of an adequate five-point non-coherent distributed radar target geometric model are described. Based on them, the limitations within which a transition from non-coherent five-point models to partially coherent four-point models is possible are formulated. The obtained theoretical results are confirmed by software modeling.