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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 217
e coecient estimate
α
ˆ
iM
is now given as
α=
ω
∏τ
=
ˆ
ˆ
!
1
1
M
iM
iM
k
M
k
(6.66)
Henceforth, we use only the modied forms of HIM and HAF for analysis
because they provide more reliable estimates for the coecients.
We can now summarize how the HAF technique works:
1. Assume a variable r and initialize it as r = M, that is, the highest
order or degree. We haveΓ=Γ()
()yy
i
r
i
for r = M.
2. Compute the HIM
Γτ
[(); ]
1
Py
ri
r
r
using Equation (6.64).
3. Compute the HAF Γωτ
[();
,]
1
Py
ri
r
r
using Equation (6.65) and deter-
mine the frequency
ω
ˆ
ir
corresponding to the spectral peak.
4. Estimate the coecient α
ir
us ...
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Publisher Resources

ISBN: 9781466598317