An AM signal is represented by the equation s(t) = [10 + m(t)] cos(106πt), where m(t) = 0.5 sin(10¹πt) volts Answer the following: 1) Find the values of the carrier frequency and the modulating signal bandwidth, in Hz? 2) Find the amplitudes of the carrier component, the upper side band component and the lower side band component? 3) Draw the spectrum |S(ƒ)], and indicate the phase of each frequency component.

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An AM signal is represented by the equation
s(t) = [10+ m(t)] cos(10πt), where m(t) = 0.5 sin(10¹πt) volts
Answer the following:
1) Find the values of the carrier frequency and the modulating signal bandwidth, in Hz?
2) Find the amplitudes of the carrier component, the upper side band component and the lower side
band component?
3) Draw the spectrum |S(ƒ)], and indicate the phase of each frequency component.
4) Find the modulation index?
5) Find the transmission bandwidth of the modulated signal, in Hz?
6) Find the total transmission power of the modulated signal?
7) Find the power efficiency of the modulated signal? Comment on your results.
8) Can an Envelope Detector be used for the demodulation of this signal? Why or why not?
If yes, What is the acceptable range of the time constant, in microseconds?
Transcribed Image Text:An AM signal is represented by the equation s(t) = [10+ m(t)] cos(10πt), where m(t) = 0.5 sin(10¹πt) volts Answer the following: 1) Find the values of the carrier frequency and the modulating signal bandwidth, in Hz? 2) Find the amplitudes of the carrier component, the upper side band component and the lower side band component? 3) Draw the spectrum |S(ƒ)], and indicate the phase of each frequency component. 4) Find the modulation index? 5) Find the transmission bandwidth of the modulated signal, in Hz? 6) Find the total transmission power of the modulated signal? 7) Find the power efficiency of the modulated signal? Comment on your results. 8) Can an Envelope Detector be used for the demodulation of this signal? Why or why not? If yes, What is the acceptable range of the time constant, in microseconds?
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