(Solved): Question 1: [8] Given an analog signal x(t)=8cos(4000 pi t)+5cos(7000 pi t), for t >= 0, which is ...

Question 1: [8] Given an analog signal x(t)=8cos(4000 pi t)+5cos(7000 pi t), for t >= 0, which is sampled at the rate of 6000Hz. a. Sketch the spectrum for the sampled analog signal x(t) up to 20kHz. [4] b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal (y(n)=x(t) in this case) to recover the original signal. [2]. After observation, explain if there is any anomaly on the recovered signal? [2]