The SASS Sensor Data Record (SDR) files used in this study are described in
[2]. While the SASS SDR files do not include the integrated cell
corners, we developed an algorithm for reconstructing the cell corner positions
from data available in the SDR files (see Fig. 1). The SDR files contain
measurements spanning an incidence angle range of
to
and
include estimates of the normalized standard deviation (
) for each
measurement. We have chosen to exclude
measurements with excessive
(
%) in the experiments
described below. The discarded measurements represent less than 5%of the
measurements, most of which occurred at large incidence angles. Orbits (revs)
for which the measurements exhibited excessive error were not included (see
[4] for a detailed description of the SASS data anomalies and the
rationale for selecting and excluding orbits with excessive error).
To illustrate the variability in the scatterometer data as well as demonstrate
the validity of the model, all the vertically-polarized measurements
over the three month mission from a
region in
north-eastern Brazil were plotted as a function of the measurement incidence
angle (see Fig. 2). Only measurements with incidence angles in the range of
to
with
%were used. This region is a portion of
the Amazon tropical rain forest, an area previously noted for its homogeneous
radar response. Linear regression was used to compute the
and
coefficients and the corresponding line shown. As evident from this figure, the
linear model fits the data well, though there is significant data scatter about
the best-fit line. This scatter is due to: 1) thermal noise in the instrument,
2) errors in the computation of the radar parameters used to compute
from the measured power (this is known as ``retrieval error''), 3) variations in
the radar backscatter of the forest canopy, and 4) variations in the calibration
of the SASS instrument. The latter effect probably accounts for less than 0.1 dB
[4]. The additive error due to the retrieval error and the
thermal noise are both subsumed into
(see LHW), though for the ranges of
observed over land,
is dominated by the retrieval error. The
standard deviation of the canopy backscatter is estimated to be 0.15 dB
[4].
The temporal variation in the radar response can be observed with the aid of
Fig. 3 which contains plots of the vertically-polarized and
versus Julian
day (1978) for the study region defined above. The same measurements used in
Fig. 2 were employed in creating these plots. To generate this plot a moving 10
day window was used to compute a time-averaged
and
value by linear
regression of the
versus incidence angle within the temporal window. The
corresponding time-averaged
and
coefficients were plotted as lines in the
upper portion of the plot. To illustrate the frequent changes in the
measurements as a function of time, the time-averaged
value from the upper
plot was used to remove the incidence angle dependence of each
measurement. The resulting
estimate was then plotted in the lower portion of
Fig. 3 as individual symbols. A windowed time average of these points was
plotted as a solid line on this plot. Gaps in the time series are due to
missing data. We note that both
and
remain relatively constant through
out the mission for this region of tropical forest. As discussed later, some
seasonal variation in savanna areas was noted. In effect, the scatter in the
estimates in the lower plot is treated as measurement noise by the resolution
enhancement algorithm.