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.
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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