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Jonski
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Homework Statement
An LTI system has an impulse response h(t) = e-|t|
and input of x(t) = ejΩt
Homework Equations
Find y(t) the system output using convolution
Find the dominant frequency and maximum value of y(t)
Ω = 2rad/s
The Attempt at a Solution
I have tried using the Fourier transform to get y(t) but when you try to find X(Ω), I get infinity
as X(Ω) = ∫ x(t) * e-jΩtdt = ∫ e jΩt*e-jΩtdt = ∫ 1 dt = t between inf and -inf
h(t) I could find as 2/(1+Ω2)
Any ideas on how to solve this?
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