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.