a) For amplitude modulation (AM) i) Write the time domain equation for AM signal XAM(t). ii) Write the frequency domain equation for AM signal XAM(ω). iii) Draw the circuit diagram for the envelop detector. iv) Define the modulation index and its maximum value. b) An audio signal 3sin 2π(4000t) amplitude modulates a carrier 5sin 2π(500000t). i) Sketch the amplitude modulated wave.

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a) For amplitude modulation (AM)
i) Write the time domain equation for AM signal XAM(t).
ii) Write the frequency domain equation for AM signal XAM(ω).
iii) Draw the circuit diagram for the envelop detector.
iv) Define the modulation index and its maximum value.


b) An audio signal 3sin 2π(4000t) amplitude modulates a carrier 5sin 2π(500000t).
i) Sketch the amplitude modulated wave.
ii) Determine the modulation index ?
iii) What is the frequency content of the modulated wave?


c) An audio signal 10sin 2π(2000t) amplitude modulates a carrier 20sin 
2π(200000t).
i) Sketch the amplitude modulated wave.
ii) Determine the modulation index?
iii) What is the frequency content of the modulated wave?


d) How many AM broadcast stations can be accommodated in a 100 KHz 
bandwidth if the highest frequency modulating a carrier fmax is 5 KHz?


e) The total power content of an AM signal is 1000 W. Determine the carrier 
power PC and the sideband power Ps and power efficiency when the modulation 
index is 0.5?

f) An amplitude modulated wave has a power at its carrier frequency (PC) of 800 
W. determine the sideband power Ps and total power when the modulation 
factor is 0.8?

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"Since you have asked multiple questions, we will solve the first  question for you. If you want any specific question to be solved, the please specify the number of  that question"

The process of imposing a low frequency signal on high frequency signal is called modulation.

The frequency of carrier signal is high.

When amplitude of carrier signal varies according to message signal is called amplitude modulation.

When frequency of carrier signal varies with message signal it is called frequency modulation.

 

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