1. For two cases (i) π
π
π
π
= 0.1 and (ii) π
π
π
π
= 1:
a. (20 pts) Calculate the frequency response analytically
b. (20 pts) (20 pts) Plot the frequency response (magnitude and phase on different plots) as a function of ππ
in Hertz between 0 to 10 Hertz. Which one does suppress the higher frequency tones better?
c. (20 pts) Compute the output π¦π¦(π‘π‘) if the input to the system is given by
π₯π₯(π‘π‘) = 1 + cos(5π‘π‘) + cos(10π‘π‘) + cos(15π‘π‘)
d. (20 pts) Plot both absolute value of the input and output signals
e. (20 pts) Discuss the behavior of the circuit to different tones based on the plots above.
