1. Not finding help here? Sign up for a free 30min 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 Product

  1. Sep 27, 2009 #1
    I need to find the convolution product f*g when the functions f, g on [tex]P_{4}[/tex] are given by:

    (a) f:=(1,2,3,4), g:=(1,0,0,0)
    (b) f:=(1,2,3,4), g:=(0,0,1,0)

    I know that [tex](f*g)[n]=f[0]\cdot g[n]+f[1]\cdot g[n-1]+f[2]\cdot g[n-2]+...+f[N-1]\cdot g[n-(N-1)][/tex]

    and

    [tex]\sum_{m=0}^{N-1}f[m]g[n-m] [/tex] when f, g, and f*g are functions on [tex]P_{N}[/tex]

    I need to find (f*g)[n] for n =0,1,2,3. when I plug in 0 for n in the sum above, I get f[0]g[0] which is fine. f[0] and g[0] both correspond to 1 considering what is given in (a). However, when I plug 1 into the sum above, I get f[1]g[-1] . f[1] corresponds to 2 from (a) but I don't know what g[-1] corresponds to. Am I doing this right?
     
    Last edited: Sep 27, 2009
  2. jcsd
  3. Sep 27, 2009 #2
    Wait, on [tex]P_{4}[/tex] does g[-1]=g[3]?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Convolution Product
  1. Convolution Problem (Replies: 3)

  2. Help with convolution (Replies: 1)

  3. Optics convolution (Replies: 5)

Loading...