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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
Continuous Wavelet Transforms 79
and its inverse as
=
π
ωω
−∞
ω
()
1
2
ˆ
()
e.
ft
fd
it
(3.14)
More detailed information on the Fourier transform and its properties
may be found in Brigham [6] and Mallat [7], but the essential properties
that we need are listed in Box3.3.
Example 3.2: Centers and Bandwidths of the Morlet Wavelet
As an illustrative example, we now nd the centers and bandwidths
of the Morlet wavelet given in Equation (3.8). For this wavelet, the
corresponding family is given by
ψ=
σπ
ω
σ
t
a
i
tb
a
tb
a
ab
()
11
expexp
1
2
.
,
2
4
0
2
(3.15)
BOX3.3 SELECTED PROPERTIES OF THE FOURIER TRANSFORM
Convolution
∗⇔
ωω
ft ft ff()
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Publisher Resources

ISBN: 9781466598317