# Convolution with sign function

1. Mar 27, 2013

### PhysicsGirl90

Hello all,

I am having some trouble calculating a convolution. For the question, and my attempt at a solution, please take a look at the pic. Can someone please point me in the right direction?

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2. Mar 27, 2013

### vela

Staff Emeritus
I didn't check your work closely. If it's correct, you probably want to now look at two cases separately: t<0 and t>0.

The other suggestion I'd have is to try using $\tau-t$ as the argument of sgn instead of the exponential. It might make the integral easier to analyze.

3. Mar 27, 2013

### PhysicsGirl90

Ok, I will try it and see what i get

4. Mar 30, 2013

### rude man

Tried it that way, got 2exp(-t) -1