
156 ◾ Moises Padilla and Manuel Servin
the “arc-tangent formulation,” obtained when solving for the estimated
phase φ(x, y) as follows:
ϕπ=
∑
∑
=
−
=
−
[(,)]mod2arctan
(,,)
(,,)
.
0
1
0
1
xy
bIxyn
aIxyn
n
N
n
n
N
n
(5.29)
In summary, linear PSAs are simply a convolution (or cross-correlation)
product between N temporal samples of the interferometric real-valued
data
(,,)
and a (complex-valued) quadrature linear lter
For an encyclopedic list of the most popular PSAs
(presented in the arc-tangent form) see, for instance, the two books of
Malacara et al. [10, 11].
Understanding the linear PSAs as quadrature linear lters and ...