# Homework Help: System Response

1. Oct 9, 2009

### ryukyu

1. Determine the Continuous Time Fourier Series representation of the response where:

h(t)=e^(-4*|t|)

and

x(t)=summation n=-inf to inf of dirac(t-n)

The attempt at a solution:

I used Laplace transforms to find the frequency response:
H(s) = 4/(16-s^2)

from what I recall isn't the x(t) simply going to return the h(t) since the shift n is from -inf to inf?

If so then the output response would be x(t) convolved with h(t) which is messy work to do, so I'm assuming things are easier kept in the frequency domain....?