Hi,

I have the following problem:

$\displaystyle h(t)=(sin t+cost)\theta(t)$

$\displaystyle w(t)=\theta(t)-\theta(t-2\pi)$

How do I compute the following convolution::

$\displaystyle h(t)\ast w(t)$

I know that the definition for convolution is as follow:

(1)

But how do I apply (1) to the given problem?

Do I distribute the parentheses

$\displaystyle w(t)=\theta(t)-\theta(t-2\pi)=\theta(t)-\theta(t)-\theta2\pi$

Any help would be greatly appreciate it.

Thank you