IEEE Geoscience and Remote Sensing Magazine - June 2021 - 11
geometry, if the topography of the surface can be thought of
as the unique source of true interferometric phases (distributed
mode), the absolute phase of the sth pixel is defined by
·
}
topo s =
()
4r
m
·
rs
()·( )
()
Bh s
sin i
,
(1)
where m is the wavelength of SAR signal, B is the normal
baseline length, i is the incidence angle, r(s) is the distance
between the master antenna and the target of the sth pixel
in the scene, and h(s) is the terrain height of the sth pixel.
If ground deformation occurs within the SAR image acquisition
period, the absolute phase change (i.e., differential
phase) of the sth pixel is defined by
}
def() =
sd(),s
4
r
·
m
(2)
where d(s) is the ground displacement of the sth pixel in
the line-of-sight direction. Figure 2(a) shows a real interferogram,
which is from the topography of the Mount Etna
volcano, Italy; Figure 2(b) shows a real differential interferogram,
which is caused by the 2003 Bam earthquake,
Iran. From Figure 2, it can be seen that the measured phase
value of each pixel in the InSAR interferogram is only the
absolute phase modulo 2π, which has the periodic nature
JUNE 2021 IEEE GEOSCIENCE AND REMOTE SENSING MAGAZINE
of phase called the wrapped phase. Under this condition,
most of the aforementioned InSAR-based applications are
usually done by means of the PU [4].
The traditional SB PU (also called a traditional 2D
PU) is an ill-posed inverse problem [5], [6]. This means
that, no matter how skillful the PU algorithm designer
is, it is impossible to design an algorithm that can correctly
process every PU situation, i.e., for any given SB
PU method, we can always generate its unsolvable input
wrapped phase in polynomial time. Therefore, it is only
-2
2
-2
2
(a)
(b)
FIGURE 2. (a) A real interferogram from the topography of the
Mount Etna volcano, Italy. (b) A real differential interferogram,
which was caused by the 2003 Bam earthquake, Iran.
11
IEEE Geoscience and Remote Sensing Magazine - June 2021
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