Digital Signal Processing Reference
In-Depth Information
Fig. 7.13
3-dB bandwidth
concept for (
a
) LP and
(
b
) BP processes
So, that is why this denotation
B
3dB
becomes
.
S
XX
ðoÞS
XX
max
=
2
for
0
f B
3dB
:
(7.61)
This concept can also be applied to a band-pass process, as shown in Fig.
7.13b
S
XX
ðoÞS
XX
max
=
2
for
f
1
f f
2
;
f
2
f
1
¼ B
3dB
:
(7.62)
7.2.5.3 Absolute Bandwidth
An absolute bandwidth
B
abs
for a LP band-limited process is defined as a largest
frequency for which the PSD is nonzero in value
S
XX
ð f Þ¼
6¼
0
for
0
<f <B
abs
;
(7.63)
0
for
f B
abs
:
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