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By combining the bright band model used in the GPM retrieval algorithm and Mie scattering calculation, the lookup table of scattering functions is generated for three types of precipitation, i.e., solid precipitation, liquid precipitation and mixed phase precipitation. The accuracy of the lookup table is verified by comparing with the measured data of GPM. The result shows that the maximum deviation of scattering calculation is less than 0.5 dB. Based on the lookup table, the frequency correction from spaceborne Ku band radar to S-band radar is completed. The analysis of the scattering function shows that the frequency correction from Ku band to S band depends on the phase and spectral parameter
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