The Sampling Theory of the Binary Random Field Decides the Relation about Point and Plane of the Extra Rainstorms

Abstract

This paper studies the theoretical relation of rainstorm point-area coefficient and raises a correlation function sampling theorem. For the white noise of low frequency band-limitedand the stochastic process of moving average mold, the conclusion to the sampling theorem of correlation function and to the cut-off frequency is entirely the same. But the cut-off frequency doesn’t exist in the autoregressive mold and the like, therefore the random process of the cut-off frequency can’t be used. The sampling interval obtained from the sampling theorem of correlation function can make the variance of the mean computed by the sampling value approach the real variance. In this paper, on the basis of the sampling principle, the statistic average theoretical relation of the rainstorm point area coefficient has been reasoned out with the help of correlation function of the rainfall field.