Abstract
The attenuation is considered to be a serious problem when rainfall is measured by C or X -band weather radar. In this study, a stability analysis has been presented which showed that: (1) a numerical attenuation correction algorithm should be unstable if the sum of measured reflectivity at a gate and path integrated attenuation up to the previous gate is greater than an upper limit, which in turn depends on the slope of the specific attenuation curve; (2) two true reflectivities exist for a particular measured reflectivity and both the true reflectivities may need to be retrieved. Besides these, it has also been shown that the attenuation correction scheme can be very sensitive to measurement error when the true reflectivities are greater than or equal to 60 dBZ .
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