P3: In an amplitude modulation system, the message signal is the periodic square wave shown below and the carrier frequency is 1 kHz. The modulator output is xAM(t) = 2[b+0.5 m(t)]cosωct (a) Determine the average power in xAM(t) as a function of b and A. (b) If b = A, determine the modulation index and the modulation power efficiency. (c) Find the minimum value of b such that the AM signal can still be demodulated via envelope detection. Determine maximum modulation index and maximum modulation power efficiency based on the resulting b.
![P3: In an amplitude modulation system, the message signal is the periodic square wave shown below and the carrier frequency is 1 kHz. The modulator output is xAM(t) = 2[b+0.5 m(t)]cosωct (a) Determine the average power in xAM(t) as a function of b and A. (b) If b = A, determine the modulation index and the modulation power efficiency. (c) Find the minimum value of b such that the AM signal can still be demodulated via envelope detection. Determine maximum modulation index and maximum modulation power efficiency based on the resulting b.](https://www.doubtrix.com/uploads/editor/0689037952brAqHOsamN.jpg)
![4.3-2 In an amplitude modulation system, the message signal is given by Fig. P4.3-1 and the carrier frequency is 1 kHz. The modulator output is sAM(t) = 2[b + 0.5 m(t)]cosωct (a) Determine the average power in sAM(t) as a function of b and A. (b) If b = A, determine the modulation index and the modulation power efficiency. (c) Find the minimum value of b such that the AM signal can still be demodulated via envelope detection. Determine maximum modulation index and maximum modulation power efficiency based on the resulting b.](https://www.doubtrix.com/uploads/editor/9523091543QkSUXCAoJH.png)
![In an amplitude modulation system, the message signal is given below and the carrier frequency is 1 kHz. The modulator output is y(t) = [2b + 0.5m(t)]cosωct. (a) Determine the average power in y(t) as a function of b. (b) If b = 1, determine the modulation index and the modulation power efficiency. (c) Find the minimum value of b such that the AM signal can still be demodulated via envelope detection. (d) Determine maximum modulation index and maximum modulation power efficiency based on the resulting b.](https://www.doubtrix.com/uploads/editor/3734956156vyixnzVQio.png)
![Question 2: In an amplitude modulation system, the message signal is given as shown below: The carrier frequency is 1 kHz and the modulator output is: s(t) = 2[b + 0.5 m(t)]cos(2πfct) a) Determine the average message power. b) If b = 1, determine the modulation index and the modulation power efficiency. c) Sketch the modulated signal s(t) = 2[b + 0.5 m(t)]cos(2πfct) in time domain if b = 1. d) Draw the detailed receiver structure and show the signals at all the stages of the receiver. e) Discuss the system, if b = 0.5.](https://www.doubtrix.com/uploads/editor/7598963780CnyAeHUsmz.png)