Intrinsic ambiguities in the retrieval of rain rates from radar returns at attenuating wavelengths

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Abstract

It is well known that there are significant deterministic ambiguities inherent in trying to determine the particular rain-rate profile that produced some given sequence of air- or spaceborne radar echo powers at a single attenuating fequency. For different combinations of radar data, formulas for the mutually ambiguous solutions are derived and the resulting ambiguities are quantified mathematically. When the given data consist of a single radiometer measurement together with a single-frequency set of range-gated echo powers, it is shown that several substantially different rain profiles can still realistically be considered solutions. On the other hand, if the data consist of a two-frequency set of echo powers, it is proven that the inversion problem generically has a unique solution. -Authors

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Haddad, Z. S., Im, E., & Durden, S. L. (1995). Intrinsic ambiguities in the retrieval of rain rates from radar returns at attenuating wavelengths. Journal of Applied Meteorology, 34(12), 2667–2679. https://doi.org/10.1175/1520-0450(1995)034<2667:IAITRO>2.0.CO;2

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