Integrating piecewise functions
- To: mathgroup at smc.vnet.net
- Subject: [mg9104] Integrating piecewise functions
- From: Al Arduengo <exal at texas.net>
- Date: Mon, 13 Oct 1997 23:33:18 -0400
- Organization: UTSA EE
- Sender: owner-wri-mathgroup at wolfram.com
Hello all,
I have a somewhat newbie question. I am studying Information Theory and
Coding and am currently working on matched filters and their response.
Typically, we are given piecewise functions such as:
x[t]=Which[0<=t<T/2,1,T/2<=t<=T,-1] (0<=t<=T)
a matched filter would be:
h[t]=x[T-t]
The response is, of course, the convolution of x[t] and h[t] which is:
Integrate[x[t]h[t],{t,0,T}]
My question is, is there a way to symbolically evaluate this integral in
MMa 3.0? I have tried several approaches, but always end up with the
integral itself as the result. Anyone have experience with this? Help
would be appreciated.
Al