Consider a continuous-time LTI system whose frequency response is H(jw) = [*₂ If the input to this system is a periodic signal with period T x(t) - h(t)e¯jwt dt = - sin(4w) ω 1, 0 < t <4 - 1, 4 ≤t<8 = 8, determine the corresponding system output y(t).

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This is a practice question from my Signals and Systems course in my Electrical and Computer Engineering program.

Could you please walk me through the process of how to solve this problem.

Thank you very much for your assistance.

Consider a continuous-time LTI system whose frequency response is
H(jw) = [*₂
If the input to this system is a periodic signal
with period T
x(t)
-
h(t)e¯jwt dt
=
-
sin(4w)
ω
1, 0 < t <4
- 1,
4 ≤t<8
=
8, determine the corresponding system output y(t).
Transcribed Image Text:Consider a continuous-time LTI system whose frequency response is H(jw) = [*₂ If the input to this system is a periodic signal with period T x(t) - h(t)e¯jwt dt = - sin(4w) ω 1, 0 < t <4 - 1, 4 ≤t<8 = 8, determine the corresponding system output y(t).
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