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# Tutorial8 - 7 t t t v π × = across a 50-ohm resistive...

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EE 3008. FM Tutorial Questions 1. A carrier waveform is frequency-modulated by the sum of two sinusoids φ (t) = 100cos( ω c t + sin ω m t + 2sin2 ω m t) where f c = 100 kHz and f m =1 kHz. What is the peak frequency deviation from carrier? 2. A 1-GHz carrier is frequency-modulated by a 10-kHz sinusoid so that the peak frequency deviation is 100 Hz. Determine (i) the approximate bandwidth of the FM signal; (ii) the bandwidth if the modulating signal amplitude were doubled; (iii) the bandwidth if the modulating signal frequency were doubled; (iv) the bandwidth if both the amplitude and the frequency of the modulating signal were double. 3. The sinusoidal signal f(t)=Acos(2 π f m t) is applied to the input of a FM system. The corresponding modulated signal output (in volts) for A=1V, f m =1kHz, is ) 2000 sin 4 10 2 cos( 100 )
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Unformatted text preview: ( 7 t t t v π + × = across a 50-ohm resistive load. (i) What is the peak frequency deviation from carrier? (ii) What is the total average power developed by v(t)? (iii) What percentage of the average power is at 10.000MHz? (iv) What is the approximate bandwidth, using Carson’s Rule? 4. A certain sinusoid at a frequency f m Hz is used as the modulating signal in both an AM(DSB-C) and a FM system. When modulated, the peak frequency deviation of the FM system is set to three times the bandwidth of the AM system. The magnitudes of those sidebands spaced ± f m Hz from carrier in both systems are equal, and the total average powers are equal in both systems. (i) Determine the modulation index of the FM system and (ii) Determine the modulation index of the AM system....
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