1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Convolution Identity

  1. Sep 21, 2012 #1
    Hi there,
    working on a physical problem I found two functions that should be equivalent, and indeed they seem to be after a numerical check.

    The functions are shown in the attached PDF. I can not figure a way to prove their equivalence analytically (the double integral especially gives me grief when trying to "unravel" it, to get to a single integral expression)
    Any help would be so appreciated, thank you very much

    Attached Files:

  2. jcsd
  3. Sep 21, 2012 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    G(2t-τ12) = G(t-τ1) G(t-τ2)/c
    The double integral then factors into two separate integrals which are identical in effect.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook