While there are many obvious shortcomings to this algorithm, it has performed extremely well both for TRMM and (when applied to the SSM/I) for the Global Precipitation Climatology Project.
In order to eliminate some of these shortcomings, in particular to enable the use of more of the available frequencies, a new algorithm has been developed. The success of the previous algorithm has established a high standard for determining that the new algorithm is, in fact, an improvement.
In this algorithm the rain-rates are computed using 10.7, 19.35 and 37 GHz. Each of the retrievals has a valid range of rain rates. Each also has a different spatial resolution because of the properties of microwave antennas. The rain rates are brought to a common resolution by smoothing to the 10.7 GHz resolution. The higher the frequency, the greater the sensitivity to rain relative to other interfering phenomena. However, at brightness temperatures above about 250K, the retrievals become doubtful. Therefore for each smoothed pixel the highest frequency not contaminated with the doubtful retrievals is used.
Histograms of all of the retrievals at each frequency are accumulated. By knowing the most probable rain rate (0 mm/hr) any small offset due to modeling errors or instrument calibration can be detected and corrected.
It has been found that having the full range of frequencies has eliminated the need for the log-normal assumption. The monthly total rainfall is simply summed from the individual observations.
Results from applying this algorithm to TMI data will be shown.
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