Q16. For a frequency modulated signal v()=15sin(15×10ʻt+2.5sin(2750t)), the amplitude of modulating signal is 3.5V. Refer the Bessel function table B16. i) Sketch the voltage spectrum for the above signal. ii) Calculate maximum frequency, minimum frequency, maximum frequency deviation, Bandwidth, amplitude of maximum frequency from the spectrum. iii) Identify whether the above equation corresponds to Narrowband or Wideband FM modulator. Justify your answer.
Q16. For a frequency modulated signal v()=15sin(15×10ʻt+2.5sin(2750t)), the amplitude of modulating signal is 3.5V. Refer the Bessel function table B16. i) Sketch the voltage spectrum for the above signal. ii) Calculate maximum frequency, minimum frequency, maximum frequency deviation, Bandwidth, amplitude of maximum frequency from the spectrum. iii) Identify whether the above equation corresponds to Narrowband or Wideband FM modulator. Justify your answer.
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![Q16. For a frequency modulated signal V(t)=15sin(15 ×10ʻt+2.5sin(2750t)), the amplitude of modulating
signal is 3.5V. Refer the Bessel function table B16.
i) Sketch the voltage spectrum for the above signal.
ii) Calculate maximum frequency, minimum frequency, maximum frequency deviation,
Bandwidth, amplitude of maximum frequency from the spectrum.
iii) Identify whether the above equation corresponds to Narrowband or Wideband FM
modulator. Justify your answer.
Table B16: Values of Bessel function
Modulation
Sideband
index
Carrier
2
3
4
5
6
7
8
9 10 11 12
13 14 15 1
0.00
1.00
0.25
0.98 0.12
0.5
0.94 0.24 0.03
1.0
0.77 0.44 0.11 0.02
1.5
0.51 0.56 0.23 0.06 0.01
2.0
0.22 0.58 0.35 0.13 0.03
0.52 0.43 0.20 0.06 0.02
-0.05 0.50 0.45 0.22 0.07 0.02 0.01
2.41
2.5
-0.26 0.34 0.49 0.31 0.13 0.04 0.01
-0.40 -0.07 0.36 0.43 0.28 0.13 0.05 0.02
-0.18 -0.33 0.05 0.36 0.39 0.26 0.13 0.05 0.02
3.0
4.0
5.0
5.53
-0.34 -0.13 0.25 0.40 0.32 0.19 0.09 0.03 0.01
6.0
0.15 -0.28 -0.24 0.11 0.36 0.36 0.25 0.13 0.06 0.02
7.0
0.30 0.00 -0.30 -0.17 0.16 0.35 0.34 0.23 0.13 0.06 0.02
8.0
0.17 0.23 -0.11-0.29 -0.10 0.19 0.34 0.32 0.22 0.13 0.06 0.03
0.27 0.06-0.24-0.23 0.03 0.26 0.34 0.28 0.18 0.10 0.05 0.02
-0.09 0.25 0.14-0.18-0.27-0.06 0.20 0.33 0.31 0.21 0.12 0.06 0.03 0.01
8.65
9.0
-0.25 0.04 0.25 0.06-0.22 -0.23 -0.01 0.22 0.32 0.29 0.21 0.12 0.06 0.03 0.01
0.05 -0.22 -0.08 0.20 0.18-0.07 -0.24 -0.17 0.05 0.23 0.30 0.27 0.20 0.12 0.07 0.03 0
10.0
12.0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4f7ab8b-aea2-4102-b31e-c9fa89cf45a7%2Ffed8be18-1e0f-416c-8eb8-9956b8f16ae7%2Fvswhix_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q16. For a frequency modulated signal V(t)=15sin(15 ×10ʻt+2.5sin(2750t)), the amplitude of modulating
signal is 3.5V. Refer the Bessel function table B16.
i) Sketch the voltage spectrum for the above signal.
ii) Calculate maximum frequency, minimum frequency, maximum frequency deviation,
Bandwidth, amplitude of maximum frequency from the spectrum.
iii) Identify whether the above equation corresponds to Narrowband or Wideband FM
modulator. Justify your answer.
Table B16: Values of Bessel function
Modulation
Sideband
index
Carrier
2
3
4
5
6
7
8
9 10 11 12
13 14 15 1
0.00
1.00
0.25
0.98 0.12
0.5
0.94 0.24 0.03
1.0
0.77 0.44 0.11 0.02
1.5
0.51 0.56 0.23 0.06 0.01
2.0
0.22 0.58 0.35 0.13 0.03
0.52 0.43 0.20 0.06 0.02
-0.05 0.50 0.45 0.22 0.07 0.02 0.01
2.41
2.5
-0.26 0.34 0.49 0.31 0.13 0.04 0.01
-0.40 -0.07 0.36 0.43 0.28 0.13 0.05 0.02
-0.18 -0.33 0.05 0.36 0.39 0.26 0.13 0.05 0.02
3.0
4.0
5.0
5.53
-0.34 -0.13 0.25 0.40 0.32 0.19 0.09 0.03 0.01
6.0
0.15 -0.28 -0.24 0.11 0.36 0.36 0.25 0.13 0.06 0.02
7.0
0.30 0.00 -0.30 -0.17 0.16 0.35 0.34 0.23 0.13 0.06 0.02
8.0
0.17 0.23 -0.11-0.29 -0.10 0.19 0.34 0.32 0.22 0.13 0.06 0.03
0.27 0.06-0.24-0.23 0.03 0.26 0.34 0.28 0.18 0.10 0.05 0.02
-0.09 0.25 0.14-0.18-0.27-0.06 0.20 0.33 0.31 0.21 0.12 0.06 0.03 0.01
8.65
9.0
-0.25 0.04 0.25 0.06-0.22 -0.23 -0.01 0.22 0.32 0.29 0.21 0.12 0.06 0.03 0.01
0.05 -0.22 -0.08 0.20 0.18-0.07 -0.24 -0.17 0.05 0.23 0.30 0.27 0.20 0.12 0.07 0.03 0
10.0
12.0
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