A Study on Algorithm to Make Attenuation Correction to Radar Observations of Radar Reflectivity Factor (Ⅰ): Theoretical Analysis
From radar meteorological equation and the relationship betweenradar reflectivity factor and attenuation coefficient, an algorithm named bin-by-bin and its approximations and the over-correction detecting criteria have been derived for attenuation correction to discrete radar observations. The algorithm has taken into account the spatially discrete, integrate-sampling feature of radar observations and the criteria are determined by the coefficients in k-Z relationship and bin resolution. It is expected that the algorithm behaves as good as Hitschfeld-Bordan approach when attenuation is weak and the approximations to the algorithm would be more efficient for computation than the iterative method. The criteria can be used to avoid efficiently the compntation overflow caused by unstable over-correction even though the unstability feature inherent in attenuation correction can not be solved. It has been shown that high resolution of data bin is beneficial to improve the stability during correction computation.
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