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Observed electromagnetic wave depolarization in forward propagation due to precipitation in a short-term period tends to distribute statistically about some mean level of depolarization. Using a special Rayleigh depolarization model, we have analyzed the statistical scatter of the cross-polarization discrimination (XPD) of the received signal and found an approximate normal model with a standard deviation of approximately 4.34 dB about the mean, independent of all the parameters of the radio link.