baseline angle '0,' is obtainable from the aircraft inertial system,
the aircraft height is known from differential GPS and the
distance from antenna to pixel is the radar slant range. Then it
is simple trigonometry to compute the target height *h" in terms
of these quantities as shown in equations 1-3.
A, |
radar BE |
; _enlargement of rl ^. 3 vu (0, - 8,) |
radar antennas | INE t |
Te | js 4
10, | N
{ i a." : |
beam | P eT beam |
| 9, |
n r.
a 4 |
|
Tg 4 pixel
jh ;
terrain
Figure 1. Schematic of Airborne IFSAR Geometry.
sin(0; - 60,) = 5/B (1
0/4 = ¢/(2*m) + n (2
hzH-r,cos(0,) (3
)
)
)
The path-difference ‘5’ is measured indirectly from the phase
difference between the received wavefronts (eqn. 2). Because
the phase difference can only be measured between 0 and 2x
(modulo 2x), there is an absolute phase ambiguity (*n'
wavelengths) which is normally resolved with the aid of
relatively coarse ground control. A “phase unwrapping"
technique (e.g. Goldstein et al, 1988) completes the solution.
Thus the extraction of elevation is performed on the
"unwrapped" phase. Often the IFSAR is operated in a so-called
ping-pong mode which effectively doubles the value of the
geometric baseline B. These equations become the basis for
sensitivity and error analysis (e.g. Rodriguez and Martin (1996).
A direct consequence is the recognition that for the airborne
IFSAR system STAR-3i, the dominant error source is *phase
noise” so that the signal-to-noise ratio, which is a function of
flying height among other factors, becomes a means of (partly)
controlling height error specifications.
When there is a fixed, rigid baseline separating the two antennas,
the signals are collected simultaneously (single-pass
interferometry). The same principles apply if the data are
received by the same antenna in subsequent passes (repeat-pass
interferometry). Significant issues then become (1) for
satellites: temporal de-correlation due to change in target
between passes (for example Radarsat has a 24 day repeat
cycle) and (2) for airborne systems: positional uncertainty.
This schematic idealization is replaced of course by many
factors in the practical implementation of IFSAR. For example
a complex image containing phase and magnitude information
is created from the signal received at each antenna. Subsequent
operations on the complex images allow three ortho-rectified
products to be derived: DEM, Magnitude and Correlation. The
DEM, as noted earlier, is usually referred to as a DSM in
recognition that the received signal relates to the scattering
surface which may be the terrain or could be an object upon the
terrain, natural or otherwise. The magnitude is often referred to
simply as an ORI (Ortho-Rectified Image). In relatively open
urban or forest situations, it is possible to create a DTM (Digital
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International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B2. Istanbul 2004
Terrain Model) from the DSM (Wang, et. al. (2002)) and this is
offered as a Core Product along with the DSM and ORI (see
Table 2 below).
2.1 Two Airborne IFSAR Implementations
Two examples of IFSAR implementation are shown in Figure 2.
These two systems (STAR-3/ and TopoSAR) are both deployed
operationally by Intermap. A third system, STAR-4, has
recently been developed by Intermap and is currently being
flight tested.
Figure 2. STAR-3i (left) and TopoSAR (right)
STAR-3i was originally designed and built by ERIM, but has
subsequently had major upgrades in hardware and software
(Tennant, et. al., 2003). TopoSAR was originally developed by
AeroSensing under the name AeS-1 (Hoffman, et. al., 2001) and
has also experienced upgrades — mostly in the processing area.
Some of the salient characteristics of the two systems are shown
in Table 1. The STAR-3i system has a higher data acquisition
capacity while the TopoSAR can achieve finer resolution. Of
greater interest however is its multi-polarization P-Band
capability.
Typical Parameters STAR-3i TopoSAR
Platform Lear Jet AeroCommander
Altitude (km) 6.5-9.5 3.5-6.5
Speed (km/hr) 700 450
Frequency Band X X P
Centre Wavelength (cm) 3 3 74
Image Resolution (m) 1:25 0.5-2 2
Polarization HH HH HH, VV,HV/VH
Swath Width (km) 5, 10 2,4,7 4
IFSAR Mode Single Pass Single | Repeat-Pass
DEM Spacing (m) 5 12.5.5 2.5
Table 1: Typical operating parameters of STAR-3i and
TopoSAR airborne IFSAR systems.
A consistent set of Core Product DEM and ORI specifications
irrespective of platform has been created and is summarised in
Table 2. Varying flying altitudes and operating modes, enables
different accuracy specifications to be achieved which may be
reflected in cost and other factors.
Product DSM DTM
Type RMSE Spacing|| RMSE Spacing
| 0.5 5 0.5 5
Il 1 5 1 5
Ill 3 10 - -
Table 2: Intermap Core Product specifications for IFSAR
DEMs. All units are meters. RMSE refers to vertical accuracy
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