Q7. Figure Q7(a) shows the spectrum of a frequency modulated waveform with a sinusoidal modulation. 12 10 4.8 5.0 5.2 5.4 5.6 5.8 6.0 Frequency/MHz Figure Q7: (a) Spectrum of a frequency modulated waveform with a sinusoidal modulation. (a) Is this modulated waveform described as narrowband or as wideband? (b) What is the value of the carrier frequency? (c) What is the value of the modulation frequency? (d) Determine the value of the peak frequency deviation. Plots of Bessel functions of the first kind are provided below in Figure Q7(b) to assist you. (e) Estimate the fraction of the total signal power at the carrier frequency. (f) Detection of such a frequency modulated signal is usually accomplished with the use of a discriminator. Describe the function of a discriminator. (g) What is the equivalent AM modulation index obtained if this signal in Figure Q7(a) is demodulated with a high-pass RC filter discriminator? J„(x) 1.0 0.8 0.6 0.4 0.2 Figure Q7: (b) Bessel functions of the first kind J(x) for n 0-6 Spectrum Modulus/(arb. units)

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Q7. Figure Q7(a) shows the spectrum of a frequency modulated waveform with a sinusoidal
modulation.
12
4.8
5.0
5.2
5.4
5.6
5.8
6.0
Frequency/MHz
Figure Q7: (a) Spectrum of a frequency modulated waveform with a sinusoidal modulation.
(a) Is this modulated waveform described as narrowband or as wideband?
(b) What is the value of the carrier frequency?
(c) What is the value of the modulation frequency?
(d) Determine the value of the peak frequency deviation. Plots of Bessel functions of the
first kind are provided below in Figure Q7(b) to assist you.
(e) Estimate the fraction of the total signal power at the carrier frequency.
(f) Detection of such a frequency modulated signal is usually accomplished with the use
of a discriminator. Describe the function of a discriminator.
(g) What is the equivalent AM modulation index obtained if this signal in Figure Q7(a) is
demodulated with a high-pass RC filter discriminator?
J„(x)
1.0
0.8
0.6
0.4
0.2
-0.2
-0.4
Figure Q7: (b) Bessel functions of the first kind J„(x) for n =0–6
Spectrum Modulus/(arb. units)
Transcribed Image Text:Q7. Figure Q7(a) shows the spectrum of a frequency modulated waveform with a sinusoidal modulation. 12 4.8 5.0 5.2 5.4 5.6 5.8 6.0 Frequency/MHz Figure Q7: (a) Spectrum of a frequency modulated waveform with a sinusoidal modulation. (a) Is this modulated waveform described as narrowband or as wideband? (b) What is the value of the carrier frequency? (c) What is the value of the modulation frequency? (d) Determine the value of the peak frequency deviation. Plots of Bessel functions of the first kind are provided below in Figure Q7(b) to assist you. (e) Estimate the fraction of the total signal power at the carrier frequency. (f) Detection of such a frequency modulated signal is usually accomplished with the use of a discriminator. Describe the function of a discriminator. (g) What is the equivalent AM modulation index obtained if this signal in Figure Q7(a) is demodulated with a high-pass RC filter discriminator? J„(x) 1.0 0.8 0.6 0.4 0.2 -0.2 -0.4 Figure Q7: (b) Bessel functions of the first kind J„(x) for n =0–6 Spectrum Modulus/(arb. units)
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