2/5 A sinusoidal message signal with frequency fm is applied to an FM modulator with modulation index B=3. Let the carrier be given by c(t) =10cos(27 f!). a. Find the effective bandwidth of the modulated signal. b. Determine how many harmonics should be selected to contain 75% of the modulated signal power. c. The output of the FM modulator is passed through an ideal bandpass filter centered at fe with bandwidth k.f, where k is some constant number. If k = 3, plot the spectrum of the output of the ideal bandpass filter. Also, determine the power at the filter output. Following Bessel function values may be useful: n 1 3 4 5 Jn (3) - 0.260 0.339 0.486 0.309 0.132 0.043 2.

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2/5
2.
A sinusoidal message signal with frequency fm is applied to an FM
modulator with modulation index B=3. Let the carrier be given by
c(t) =10cos(27 f1).
a. Find the effective bandwidth of the modulated signal.
b. Determine how many harmonics should be selected to contain 75% of the
modulated signal power.
c. The output of the FM modulator is passed through an ideal bandpass filter
centered at fe with bandwidth k.f, where k is some constant number. If
k = 3, plot the spectrum of the output of the ideal bandpass filter. Also,
determine the power at the filter output.
Following Bessel function values may be useful:
n
1
2
3
4
J, (3)
- 0.260
0.339
0.486
0.309
0.132
0.043
Transcribed Image Text:2/5 2. A sinusoidal message signal with frequency fm is applied to an FM modulator with modulation index B=3. Let the carrier be given by c(t) =10cos(27 f1). a. Find the effective bandwidth of the modulated signal. b. Determine how many harmonics should be selected to contain 75% of the modulated signal power. c. The output of the FM modulator is passed through an ideal bandpass filter centered at fe with bandwidth k.f, where k is some constant number. If k = 3, plot the spectrum of the output of the ideal bandpass filter. Also, determine the power at the filter output. Following Bessel function values may be useful: n 1 2 3 4 J, (3) - 0.260 0.339 0.486 0.309 0.132 0.043
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