Environmental Engineering Reference
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Fig. 8.4 Scatter plots showing effects of the SNO calibration on the error statistics and distribu-
tion of the MSU channel 2 brightness temperature difference between NOAA-10 and NOAA-11.
( a ) SNO data between T L (N10) and
δT L
¼ T L (N11)
T L (N10); ( b ) SNO data between T b (N10)
and
T b (N10), where T L represents linear calibrated brightness temperature and
T b the SNO-calibrated brightness temperature (Plots from Zou et al. 2006 )
δT b
¼ T b (N11)
difference time series of the gridded temperature. In this approach, a series of sensitiv-
ity experiments were conducted in which
μ N10 changed in a reasonable range [e.g.,
0-12.5 (sr m 2 cm 1 )(mW) 1
μ N10 ,asetof
calibration coefficients for all other satellites were obtained sequentially from
regressions of their SNO matchups. These calibration coefficients were then applied
globally to every observation footprint to obtain a Level-1c radiance dataset for each
satellite from Eq. ( 8.1 ). Next, a limb correction was applied to adjust different incident
angles of the off-nadir footprints to the nadir direction, and global ocean-mean
brightness temperatures were further obtained by averaging seven near-nadir, limb-
corrected radiances for each sensitivity experiment. Similar to Fig. 8.3 , the ocean-mean
data are used here for evaluating inter-satellite radiance biases that are related to
instrument temperature variability.
The global ocean-mean inter-satellite bias variability, as measured by the mean
standard deviation (
for all MSU channels]. For each given
σ m ) of the inter-satellite difference time series for all satellite
pairs, is evaluated for all the sensitivity experiments. Figure 8.5 shows
σ m versus
μ N10 for all the sensitivity experiments. The quantity
is a measurement of
instrument calibration errors related to the instrument temperature signals in the
radiance datasets. Figure 8.3 showed an example of this quantity for a particular
satellite pair. The final calibration point for
σ
μ N10 is selected when the mean
instrument calibration error is minimized.
The new calibration coefficients resulted in a FCDR with much smaller solar
heating-related calibration errors compared to the prelaunch calibration. Figure 8.6
shows a similar global ocean-mean inter-satellite brightness temperature difference
time series as in Fig. 8.3 except for the SNO-calibrated radiances. As seen, the
instrument temperature-related variability as observed in Fig. 8.3 for NOAA-10
through NOAA-14 is mostly removed, and their inter-satellite biases are signifi-
cantly reduced. Quantitatively,
the inter-satellite biases and
σ m for the SNO
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