A continuous-time LTI system is represented by the ordinary differential equation dy(t) dt -y(t) + x (t) a. Determine the magnitude and phase angle of the system at w = 0, ±1, and ± ∞o. Use four decimal places w rad/sec -1 |H (w)| (w) radians b. What type of filter is the given system? c. If the input to the LTI system is a (t) places. w rad/sec |Y (w)| -8 0 -1 1 sin(t) , determine the magnitude response of the output |Y(w)| at w=0, ±1, and ± ∞. Use four decimal at 0 8 1

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A continuous-time
LTI system is represented by the ordinary differential equation
dy(t)
dt
-y(t) + x (t)
a. Determine the magnitude and phase angle of the system at w = 0, ±1, and ± ∞ . Use four decimal places
w rad/sec
-1
|H (w)|
(w) radians
-∞
b. What type of filter is the given system?
c. If the input to the LTI system is a (t)
places.
w rad/sec
|Y (w)|
sin(t)
πt
0
-1
1
determine the magnitude response of the output |Y(w)| at w=0, ±1, and too. Use four decimal
0
∞
1
Transcribed Image Text:A continuous-time LTI system is represented by the ordinary differential equation dy(t) dt -y(t) + x (t) a. Determine the magnitude and phase angle of the system at w = 0, ±1, and ± ∞ . Use four decimal places w rad/sec -1 |H (w)| (w) radians -∞ b. What type of filter is the given system? c. If the input to the LTI system is a (t) places. w rad/sec |Y (w)| sin(t) πt 0 -1 1 determine the magnitude response of the output |Y(w)| at w=0, ±1, and too. Use four decimal 0 ∞ 1
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