Solution Found!
In Sections 8.1 and 8.2, we analyzed the sinusoidal amplitude modulation and
Chapter 8, Problem 8.21(choose chapter or problem)
In Sections 8.1 and 8.2, we analyzed the sinusoidal amplitude modulation and demodulation system of Figure 8.8, assuming that the phase 8 c of the carrier signal was zero. 8.22. cos(5wt) (a) For the more general case of arbitrary phase 8 c in the figure, show that the signal in the demodulation system can be expressed as 1 1 w(t) = 2x(t) + 2x(t)cos(2wct + 28c). (b) If x(t) has a spectrum that is zero for lw I 2:: w M, determine the relationships required among w co [the cutoff frequency of the ideallowpass filter in Figure 8.8(b)], We (the carrier frequency), and WM so that the output of the lowpass filter is proportional to x(t). Does your answer depend on the carrier phase 8 c?
Questions & Answers
QUESTION:
In Sections 8.1 and 8.2, we analyzed the sinusoidal amplitude modulation and demodulation system of Figure 8.8, assuming that the phase 8 c of the carrier signal was zero. 8.22. cos(5wt) (a) For the more general case of arbitrary phase 8 c in the figure, show that the signal in the demodulation system can be expressed as 1 1 w(t) = 2x(t) + 2x(t)cos(2wct + 28c). (b) If x(t) has a spectrum that is zero for lw I 2:: w M, determine the relationships required among w co [the cutoff frequency of the ideallowpass filter in Figure 8.8(b)], We (the carrier frequency), and WM so that the output of the lowpass filter is proportional to x(t). Does your answer depend on the carrier phase 8 c?
ANSWER:Step 1 of 5
(a)
Representing the modulated signal as shown,