The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part Bl. Beijing 2008
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complex images of the proposed tri-baseline configuration can
be modelled as:
S', =Z C1 +N t +Z ri
S 2 =Z C1 +N 2 + Z T2 (!)
S 3 = Z C3 + N 3 +Z r3
where Z C1 , Z C2 and Z c3 are the clutter processes representing
the SAR complex images acquired from the three antennas, N u
N 2 and N 3 are due to the presence of thermal noise at the
receivers and Z n , Z n and Z73 denote the SAR images of the
moving target relative to the three interferometric antennas.
ATI analysis exploits the correlation between the complex
sample sets of the first aperture image, SI, and the second
aperture image, S2, to produce the interferogram matrix
/ = S t S’ = |S, \\S 2 1 exp[/0, - (p 2 )] (2)
Where (p x and (p 2 are the phase angle of the first and second
aperture images, respectively.
In presence of a moving target (in absence of noise and
decorrelation effects ), the interferogram phase angles
y/ = (p x - cp 2 can be related to the line-of-sight component of
the target velocity, V r by
This novel proposed configuration can be adapted to the
velocity range of the objects of interest. Short baseline and long
baseline enables highly accurate velocity estimates for slow and
fast object MTI (as shown in table 1). Hence, an acquisition
with multiple long & short along-track baselines can enable
improved and more accurate measurements over a wide
spectrum of potential scatterer velocities.
2.3 INSAR
The goal of INSAR is to measure the difference in range
between two observations of a given ground point with
sufficient accuracy to allow accurate topographic reconstruction.
Operational DEM generation will be performed through the
interferometric phase and knowledge of the interferometer
geometry (see Figure 2). Accuracy is obtained by careful
measurement of the baseline length and orientation and the
location of the platform relative to the reference coordinate
system.
Figure 2. Geometry of the interferometer
% in An
w = —AR = v -T
X X
(3)
A simplified expression for the target height h is
Where A is the radar wavelength, t is the time lag. B is the
distance between the two SAR antenna. For DSS, while A1 is
transmitting, A1 and A2 are receiving from pulse to pulse
resulting in an effective baseline of B/2. A moving target can
then be detected by comparing the interferometric phase with a
threshold.
r 2nB
(4)
h = H -rcos[sin _l (——) + a]
2 kB
(5)
where h is the platform height (antenna altitude with respect to
the WGS84 reference ellipsoid), r is the range, <D is the
measured interferometric phase, a is the baseline roll angle,
X is the observing wavelength, and B is the baseline length.
For Distributed SAR Satellite the radar instrument provided
data necessary to determine r and <X>, while a dual frequency
GPS, measured the detailed shape of the interferometer, in
essence (B, a )or (Ax, Ay, Az).
DRA ATI
DSS ATI
Along-Track Baseline
2.4m
150m
Signal to Noise Ratio
15dB
lOdB
MDV
2.5m/s
0.15m/s
Vmax
59.37m/s
0.7919m/s
Table 1. short and long baseline performance
Error source
Error
Allocation
Ah(m)
a ( arcsec)
2 arcsec
4.5m
B(mm)
8mm
4.56m
Platform position(m)
lm
lm
Table 2. Baseline estimation accuracy requirements