FM modulator is used to transmit a cosine message signal with 4V amplitude and 20Hz frequency. The frequency deviation constant kf = 25 Hz/V, the carrier is a cosine sign with an amplitude of 10V and a frequency of 2000Hz. The FM modulated signal is passed through a bandpass filter and 90% of the power of the modulated signal remains. What is the bandwidth of the FM modulated signal in this case? a) 240hz b) 20hz c) 100hz d)200hz

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FM modulator is used to transmit a cosine message signal with 4V amplitude and 20Hz frequency. The frequency deviation constant kf = 25 Hz/V, the carrier is a cosine sign with an amplitude of 10V and a frequency of 2000Hz. The FM modulated signal is passed through a bandpass filter and 90% of the power of the modulated signal remains. What is the bandwidth of the FM modulated signal in this case?

a) 240hz b) 20hz c) 100hz d)200hz

B = 0.1
B = 0.2 B = 0.5 B = 1 B= 2 B = 5 B= 8
B = 10
0.998
0.990
0.938
0.765
0.224
-0.178
0.172
-0.246
0.050
0.100
0.242
0.440
0.577
-0.328
0.235
0.043
1
2
0.001
0.005
0.031
0.115
0.353
0.047
-0.113
0.255
2
3
0.020
0.129
0.034
0.365
-0.291
0.058
3
4
0.002
0.391 -0.105
-0.220
4
5
0.007
0.261
0.186
-0.234
5
6.
0.001
0.131
0.338
-0.014
6.
7
0.053
0.321
0.217
7
8.
0.018
0.223
0.318
8
9.
0.006
0.126
0.292
10
0.001
0.061
0.207
10
11
0.026
0.123
11
12
0.010
0.063
12
13
0.003
0.029
13
14
0.001
0.012
14
15
0.004
15
16
0.001
16
Transcribed Image Text:B = 0.1 B = 0.2 B = 0.5 B = 1 B= 2 B = 5 B= 8 B = 10 0.998 0.990 0.938 0.765 0.224 -0.178 0.172 -0.246 0.050 0.100 0.242 0.440 0.577 -0.328 0.235 0.043 1 2 0.001 0.005 0.031 0.115 0.353 0.047 -0.113 0.255 2 3 0.020 0.129 0.034 0.365 -0.291 0.058 3 4 0.002 0.391 -0.105 -0.220 4 5 0.007 0.261 0.186 -0.234 5 6. 0.001 0.131 0.338 -0.014 6. 7 0.053 0.321 0.217 7 8. 0.018 0.223 0.318 8 9. 0.006 0.126 0.292 10 0.001 0.061 0.207 10 11 0.026 0.123 11 12 0.010 0.063 12 13 0.003 0.029 13 14 0.001 0.012 14 15 0.004 15 16 0.001 16
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