Vol. 3, issue 12, article # 3Vol'pov A.L., Zimin Yu.A., Lopatkin V.N. Statistical model of the signalin the synthesis of images of small objects by the method of active interferometry. // Atmospheric and oceanic optics. 1990. V. 3. No. 12. P. 1133-1139.
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The statistical characteristics and the probability density of the signal recorded when using the method of active interferometry for synthesis of images of small objects observed through a turbulent atmosphere are analyzed. Two types of signals are studied. They differ by the ratio of the diameter of the illuminating apertures and the correlation radius of the phase distortions of the optical field. The dependence of the statistical characteristics on the distance between the illuminating apertures and on the increment of this distance is analyzed for both cases. It is shown that the distribution of the signals is log-normal. The dependence of the distribution on the dispersion of the phase distortions of the optical field and the number of independent spatial and spatial-frequency regions of correlation of the recorded signal is investigated. The cases in which the distribution approaches a log-normal distribution are determined.