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## Homework Statement

An LTI system has an impulse response h(t) = e

^{-|t|}

and input of x(t) = e

^{jΩt}

## 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

^{-jΩt}dt = ∫ e

^{jΩt}*e

^{-jΩt}dt = ∫ 1 dt = t between inf and -inf

h(t) I could find as 2/(1+Ω

^{2})

Any ideas on how to solve this?

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