convolution procedure question


by mudcat
Tags: convolution, step integral
mudcat
mudcat is offline
#1
Sep16-09, 07:36 AM
P: 2
Hello. I need help with understanding one part of the convolution procedure. This doesn't involve any particular homework problem, but I'll use the following problem as an example:




I have 2 questions. If anybody can help me, I would greatly appreciate it.

1. When x(0-T) crosses the rectangle part of h(T), I understand the reasons for the integrals with the limits of t-1 to 0 and 1 to t-3. Can anyone confirm that the integral from 1 to 0 happens because x(0-T) is larger on the x plane than h(T)?

2. I don't remember how to obtain the inequalities of T for each respective integral (1 < t < 2, 2 < t < 3, etc. ) This eludes me. Please help. Thanks.
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Mark44
Mark44 is offline
#2
Sep16-09, 09:35 AM
Mentor
P: 20,941
The image is not showing, so we have no clue as to what the problem is.

Why are you writing x(0 - T)? Isn't that the same as x(-T)?
mudcat
mudcat is offline
#3
Sep16-09, 05:30 PM
P: 2
Sorry, that should have been (t - T). Here's the corrected image, I hope:



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