Geology Reference
In-Depth Information
1.0
-
T
/2
-
T
/4
0
T
/4
T
/2
t
Figure 2.10 The Parzen time window. Both the window and its slope vanish at
t
=±
T
/2.
1
10
-2
10
-4
10
-6
-12/
T
-8/
T
-4/
T
4/
T
8/
T
12/
T
0
f
Figure 2.11 The Parzen frequency window. It is plotted logarithmically, as a frac-
tion of the central lobe height, 3
T
/8.
The Parzen time window is the piecewise cubic
⎩
6 (2
t
/
T
)
2
|
/
T
)
3
1
−
+
6 (2
|
t
,
|
t
|≤
T
/4,
|
/
T
)
3
p
(
t
)
=
2 (1
−
2
|
t
,
T
/4 <
|
t
|
<
T
/2,
(2.284)
0,
|
t
|≥
T
/2.
The Parzen time window is shown in Figure 2.10 and the Parzen frequency window,
its Fourier transform, is illustrated in Figure 2.11. To show the sidelobes clearly,
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