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liable estimation of linear deformation. What’s more, by
integrating the amplitude-based criterion for pixels selection,
CPT can provide full-resolution deformation. In some sense, we
can say CPT is a well-integrated technique of the main PSI
techniques.
2.5 Other techniques
Some other multiple-interferogram techniques for deformation
monitoring emerge and gained many uses as well, including,
Interferometric Points Targets Analysis (IPTA) developed by
GAMMA remote sensing research group (Wegmtiller et al.,
2000; Werner et al., 2003) in Switzerland, Spatio-Temporal
Unwrapping Network (STUN) (Kampes et al., 2005) and phase
gradient approach to stacking interferograms (Sandwell et al.,
1998; Raucoules et al., 2003; Rocca, 2007). Moreover, there is
STB AS (Small Temporal BAseline Subset) for monitoring of
wetland’s water level changes (Hong et al., 2008).
2.6 Remarks on Advanced D-InSAR techniques
Compared with Classical D-InSAR, which employs several
SAR images (4 at most for the 4-pass version D-InSAR) to
analyze a single deformation episode, Advanced D-InSAR
technique fully exploits the SAR archives available, and we
may consider it a postprocessing step (Usai, 2003; Berardino et
al., 2002) applied to the set of D-InSAR interffograms that may
be generated via already available interferometric data
processing tools. Based on this, several considerations are in
order.
2.6.1 Foundation of Advanced D-InSAR
The input of Advanced D-InSAR is a set of Differential
interferograms. Therefore, a careful D-InSAR processing has to
be implemented, controlling the quality of all major processing
steps (e.g. image co-registration, phase unwrapping, etc.),
guaranteeing a high quality set of input data for the Advanced
techniques. This is of particular significance for PS method,
where no compulsive constraints are enforced on temporal and
spatial baseline and any noisy area existed will introduce mis
registration problems. Phase unwrapping, on the other hand,
always remaining the most delicate issue, behaves as a sparse
and irregularly sampled data unwrapping problem in advanced
techniques, and can be performed following a two-step
algorithm (Ghiglia et al., 1998)
1) estimation of the unwrapped phase differences between
neighboring pixels; 2) integration of the gradient using one of
the known techniques, such as minimum cost flow (Costantini,
1998), weighted least mean squares (Ghiglia et al., 1998;
Spagnolini, 1995), and branch and cut (Goldstein et al., 1988).
2.6.2 Data acquisition
Besides the large stack of SAR images required, uniform
distribution of temporal and spatial baselines are always
preferred in order to acquire more accurate and reliable
information about the ongoing deformation. However, global
availability of SAR acquisitions is somewhat limited. Many
areas have few or no acquisitions unless the area of interest was
previously tasked for imaging. For example, there are subsiding
areas in Mexico and in the People’s Republic of China that
have significant aquifer-system compaction problems, however,
with limited ERS SAR coverage. For Envisat SAR coverage,
the various selectable polarizations of the transmitted
electromagnetic SAR signal may limit the availability of SAR-
image pairs suitable for InSAR processing (Galloway et al.,
2007).
2.7 Difference and similarity among Advanced techniques
Besides several differences among the techniques detailed
above, mainly relying in data requirements (minimum number
of SAR images, more than thirty needed for PS for a well
statistics estimation of phase stability), the limitations on
baseline length (SBAS, LS, CPT), the need of multilooking
(SBAS, LS, CPT), the multi-pair approach (SBAS, LS, CPT)
for interferogram formation, there exist several similarities
among them.
2.7.1 Deformation extraction strategy
All the techniques extract deformation through a two-step way,
linear and nonlinear. In fact, we’d better regard the introduction
of a linear model as a way to clean phase to make easier
nonlinear estimation. Such a strategy, dividing and conquering,
running through the whole signal isolation process, does help a
lot (Blanco et al., 2007).
2.7.2 APS estimation and removal
The output of Advanced D-InSAR includes LOS displacement
rate, DEM error, and Atmospheric disturbance, with the latter
two byproducts indicating great superiority compared with
Classical D-InSAR, and in some way justifying the need of a
large number of images (Ferretti et al., 2000).
After the estimation and removal of linear phase (linear
deformation and DEM error phases), theoretically, three
contributions still remain: APS, nonlinear deformation and
noise. In practice, however, the noise contribution was
mitigated to the minimum either due to the multilooking process
in SBAS and CPT, or due to the neighboring differencing in PS
and CPT, thus only APS being the target to be cleaned. Based
on the observation that the atmospheric signal phase component
is characterized by a high spatial correlation and exhibits a
significantly low temporal correlation (random), the desired
nonlinear deformation is estimated as the result of the cascade
of a spatial low-pass and a temporal high-pass filtering
operation, with APS removed( Ferretti et al., 2001; Berardino et
al., 2002; Mora et al.,2003).
2.7.3 Multi-plantform interferometry
The frequency difference between ERS and EnviSAT, although
a small shift, limits the possibilities of the generation of useful
cross-interferograms (Monti et al., 2000). For a flat surface,
theoretically, it’s possible to compensate for the 31 MHz center
frequency difference unless the normal baseline reaches 2100m
(Gatelli et al., 1994). Although some researchers found several
pairs of images for successful crossing-interferometry by
searching, with delicacy, the whole archives(Santoro et al,
2007) , we should note that the consequence of such large
baselines are, on the one hand, the restrictive elevation of
ambiguity with respect to the image, around 4.5m, which makes
the interferograms sensitive to topography. On the other hand,
interferograms with large baseline are extremely sensitive to
volumetric decorrelation, which poses great limitation in urban
areas.
Again, Advance DInSAR techniques circumvent the above
dilemma elegantly, exploiting pointwise targets, as in the case
of the Permanent Scatterer approach (Arrigoni et al., 2003;
Ferretti et al., 2004; Wegmuller et al., 2005) that allows
investigating the temporal evolution of the detected
displacements by analyzing full-resolution (single look)
interferograms, or in the SBAS and CPT cases, by considering
ERS and EnviSAT as independent subsets, searching for a least