Question 1 (20 points, Amplitude Modulation): We are given the following signal in frequency domain (Fig. 1), Figure 1: Message signal in frequency domain. (a) (10 Pts.) Draw the spectrum for the SSB modulated signal. Show how we recover the original signal through a receiver architecture? (b) (10 Pts.) Repeat Part a, for the VSB modulation.
![An amplitude modulated wave is given by s(t) = [1 + kam(t)]c(t), where ka is the modulator sensitivity, m(t) is the message wave and c(t) is the carrier wave. Assume that a sinusoidal signal is chosen as the carrier wave; c(t) = cos(2πfct), where fc is the carrier frequency. Let the message signal m(t) be a periodic triangular pulse wave shown in Fig. 1 Figure 1: Message signal m(t) (a). Find ka for 50% modulation. [hint: Percentage modulation is defined as max|kam(t)| × 100% ] (b). Sketch the amplitude modulated signal s(t) for 50% modulation.](https://www.doubtrix.com/uploads/editor/0778063553RLzvMpgLmL.jpeg)
