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Phase Estimation in Optical Interferometry
book

Phase Estimation in Optical Interferometry

by Pramod Rastogi, Erwin Hack
November 2014
Intermediate to advanced content levelIntermediate to advanced
366 pages
11h 5m
English
CRC Press
Content preview from Phase Estimation in Optical Interferometry
Local Polynomial Phase Modeling and Estimation 207
simplicity, if we assume a slowly varying amplitude and ignore the eect
of noise, we have
Γ+Γ−≈α
()()()exp[ {2
()
2( 3)}]
2
01 2
2
3
3
23
2
ym ym ay jy
yy
ym
ii ii
ii
ii
(6.37)
In Equation (6.37), the right-hand side comprises a complex signal whose
phase has two components: (1) the term 2(α
i0
+ α
i1
y + α
i2
y
2
+ α
i3
y
3
), which
is invariant to m and is a constant for a given y, and (2) the term 2(α
i2
+
3α
i3
y) m
2
, which is quadratic in m, and the corresponding quadratic coef-
cient is essentially the IFR.
Hence, the CPF in Equation (6.35) can now be expressed as
Ω≈ α+α+α+α
×−
≈α
−Ω
CP(, )()exp[{2( )
2( 3)}] exp[ ]
()exp[ 2( )]
exp[ {IFR()}]
2
01 2
2
3
3
23
22
2
01 2
2
3
3
2
yayj yy y
ym jm
ay jyyy ...
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Publisher Resources

ISBN: 9781466598317