## Example of Computation of inverse Fourier transform (CT signals)

$X(w) = \frac{2sin{3(w-2\pi)}}{w-2\pi}\,$

We already knew that when $x(t) = \frac{sinWt}{\pi t}, X(w) = 1 for |w|<W. \,$

when$x(t) = x(t-t_0), X(w) = e^{-jwt_0}X(jw)$

W is 3 , and this was delayed $2\pi\,$

So $x(t) = e^{j2\pi t}$ for $|t| < 3 \,$

And $x(t) = 0 \,$ for otherwise

## Alumni Liaison

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

Dr. Paul Garrett