Mr. Farrar et al., THE IMPACT OF SPATIAL-RESOLUTION ENHANCEMENT OF SSM I MICROWAVE BRIGHTNESS TEMPERATURES ON RAINFALL RETRIEVAL ALGORITHMS/, Journal of applied meteorology, 33(3), 1994, pp. 313-333
The impact of spatial resolution enhancement on estimates of tropical
typhoon rainfall based on SSM/I (Special Sensor Microwave/Imager) meas
urements is evaluated with six different microwave precipitation retri
eval algorithms. Passive microwave estimates of rainfall are susceptib
le to errors from nonhomogeneous beam filling. The SSM/I ground footpr
ints for the 19-, 22-, and 37-GHz channels have considerable overlap,
and thus deconvolution techniques can be applied to enhance spatial re
solution of measurements at those frequencies. The authors utilize a B
ackus-Gilbert matrix transform approach to accomplish the deconvolutio
n so as to minimize noise amplification, as suggested by Stogryn. The
deconvolution scheme is evaluated in terms of its impact on rain rates
throughout the life cycles of seven tropical cyclones that occurred d
uring the 1987 hurricane and typhoon season. The evaluation was perfor
med on a single-frequency emission-based algorithm, a single-frequency
scattering-based algorithm, two multiple-frequency statistical regres
sion algorithms, and two physical inversion-based profile algorithms.
While rainfall patterns detected by all algorithms were qualitatively
enhanced by accentuating rainfall gradients and other smaller-scale fe
atures, quantitative responses to the deconvolution process were quite
different for each algorithm. Furthermore, each of the algorithms, wh
ich uses its own distinct scientific approach, exhibits its own distin
ct properties in retrieving the rainfall patterns and in recovering th
e storm domain-averaged rain rates. The rain rates derived from the si
ngle-frequency emission algorithm were consistently increased by appli
cation of the deconvolution procedure. Time- and space-averaged rain r
ates were elevated by approximately 5%-6% due to the nonlinear relatio
nship of rain rate to brightness temperature. On the other hand, rain
rates from the single-frequency scattering algorithm were consistently
reduced, with the time-space-averaged reduction between 10% and 20%.
This effect is not algorithm related but is due to alteration of noise
properties of the two polarized 37-GHz channels introduced during the
deconvolution process. The multiple-frequency algorithms have more co
mplex responses to deconvolution. Although instantaneous rain rates ca
n be changed quite significantly by these methods, differences between
deconvolved and raw time-space-averaged rain rates are small compared
to the single-channel algorithms-because the pixel-scale differences
tend to be of a more random nature (positive and negative changes inst
ead of consistent bias). However, it appears that the profile methods
can undergo the greatest improvement to instantaneous rain rates after
deconvolution is applied because they use perturbative inversion proc
edures rather than fixed brightness temperature-rain rate relationship
s.