Convolution procedure question

  1. 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.
  2. jcsd
  3. Mark44

    Staff: Mentor

    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)?
  4. Sorry, that should have been (t - T). Here's the corrected image, I hope:

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