6. A 270kHz sinusoidal carrier of amplitude 5V is frequency modulated by a 4.5kHz sinusoidal information signal of amplitude 3V. Assume the modulation index as 2.41. i) Refer the Bessel function table B16 and Sketch the voltage spectrum for the above signal. ii) Calculate maximum frequency and maximum frequency deviation for the above FM signal iii) Identify whether the above equation corresponds to Narrowband or Wideband FM modulator. Table B16: Values of Bessel function Modulation Sideband index Carrier 1 2 3 5 7 89 10 11 12 13 14 15 16 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 2.41 0.52 0.43 0.20 0.06 0.02 2.5 -0.05 0.50 0.45 0.22 0.07 0.02 0.01 -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 3.0 4.0 5.0 -0.18 -0.33 0.05 0.36 0.39 0.26 0.13 0.05 0.02 -0.34 -0.13 0.25 0.40 0.32 0.19 0.09 0.03 0.01 0.15 -0.28 -0.24 0.11 0.36 0.36 0.25 0.13 0.06 0.02 5.53 6.0 0.30 0.00 -0.30 -0.17 0.16 0.35 0.34 0.23 0.13 0.06 0.02 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 7.0 8.0 8.65 9.0 -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 -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 0.01 10.0 12.0

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Q16. A 270kHz sinusoidal carrier of amplitude 5V is frequency modulated by a 4.5kHz sinusoidal
information signal of amplitude 3V. Assume the modulation index as 2.41.
i)
Refer the Bessel function table B16 and Sketch the voltage spectrum for the above
signal.
ii)
Calculate maximum frequency and maximum frequency deviation for the above FM
signal
iii) Identify whether the above equation corresponds to Narrowband or Wideband FM
modulator.
Table B16: Values of Bessel function
Modulation
Sideband
index
Carrier
1
2
3
4
5
6
8 9 10 11 12 13 14 15 16
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
2.41
0.52 0.43 0.20 0.06 0.02
2.5
-0.05 0.50 0.45 0.22 0.07 0.02 0.01
3.0
-0.26 0.34 0.49 0.31 0.13 0.04 0.01
4.0
-0.40 -0.07 0.36 0.43 0.28 0.13 0.05 0.02
5.0
-0.18 -0.33 0.05 0.36 0.39 0.26 0.13 0.05 0.02
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
8.65
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
-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 0.01
9.0
10.0
12.0
Transcribed Image Text:Q16. A 270kHz sinusoidal carrier of amplitude 5V is frequency modulated by a 4.5kHz sinusoidal information signal of amplitude 3V. Assume the modulation index as 2.41. i) Refer the Bessel function table B16 and Sketch the voltage spectrum for the above signal. ii) Calculate maximum frequency and maximum frequency deviation for the above FM signal iii) Identify whether the above equation corresponds to Narrowband or Wideband FM modulator. Table B16: Values of Bessel function Modulation Sideband index Carrier 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 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 2.41 0.52 0.43 0.20 0.06 0.02 2.5 -0.05 0.50 0.45 0.22 0.07 0.02 0.01 3.0 -0.26 0.34 0.49 0.31 0.13 0.04 0.01 4.0 -0.40 -0.07 0.36 0.43 0.28 0.13 0.05 0.02 5.0 -0.18 -0.33 0.05 0.36 0.39 0.26 0.13 0.05 0.02 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 8.65 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 -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 0.01 9.0 10.0 12.0
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