In the past, the deconvolutions are mostly based on the parameterized DSD with certain analytical format, such as Gamma function. This introduces two problems in DSD retrieval. (1) The rain DSD and its mean terminal velocity are related via a nonlinear function. In other words, the wind profiler would not be able to discriminate DSD in the small or large rain drop ranges, which results in non-uniqueness and instability in the wind profile algorithm; (2) Gamma function is not always the best presentation of realistic DSD in question, which could lead to diverged solutions in the Doppler spectrum domain.
To address these two issues, we have recently developed a new deconvolution procedure based on discretized DSD, which is similar to the binned DSD of distrometer. Since we can group all the very small or very large drops in two separate bins, we avoid the non-uniqueness of the solution in the retrievals. In addition, no constrain is imposed on different size bins, thus the solution always converges in the Doppler spectrum domain. We will present some results using this new algorithm, as well as their comparison with results from an existing algorithm.
The research described in this paper was carried out by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration.
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