Digital Signal Processing Reference
In-Depth Information
n ¼ m þ 2 : 5 log 2 f s
2 : 14 ¼ 10 þ 2 : 5 log 2 160
b.
2 : 14
2 f max
2 20
¼ 12 : 86 z 13 bits
12.21. a.
f c =B ¼ 6 is an even number, which is case 1, so we select
f s ¼ 10 kHz.
(a)
Bandpass signal with
baseband bandwidth
B = 5 kHz
f
kHz
20
2
28
30
32
35
4
0
Bandpass signal
sa m p led at fs = 10 kHz
f kHz
2
1
20
3
0
40
0
b. Since f c =B ¼ 5 is an odd number, we select
f s ¼ 10 kHz.
(b)
Bandpass signal with
baseband bandwidth
B = 5 kHz
f
kHz
20
23
2
27
30
35
4
0
Bandpass signal
sa m pled at f s = 10 kHz
f kHz
3
1
0
20
3
0
40
0
c. No w , f c =B ¼ 6 : 6, w hic h is a noninteger. We extend the bandwidth to B ¼ 5 : 5 kHz, so
f c =B ¼ 6 and f s ¼ 2 B ¼ 11 kHz.
(c)
Bandpass signal with
baseband bandwidth
B = 5.5 kHz
f
kHz
20
30
31
33
35
40
0
Bandpass signal
sa m pl ed at fs = 11 kHz
f kHz
2
1
0
20
3
0
40
0
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