## Example of Computation of Fourier transform of a CT SIGNAL

$x(t)=e^{-3t} u(t-3) u(t+3)$

$X(w) = \int^{\infty}_{- \infty}x(t)e^{-jwt} dt$

$= \int^{\infty}_{- \infty} e^{-3t} u(t-3) u(t+3) e^{-jwt} dt$

$= \int^{3}_{-3} e^{-(3 + jw)t} dt$

$[\frac{e^{-(3 + jw)t}}{-(3 + jw)}]_{-3}^{3}$

$\frac{e^{-(9 + 3jw)}}{-(3 + jw)} - \frac{e^{(9 + 3jw)}}{-(3 + jw)}$

## Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett