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Fourier analysis: Impulse Symbol(dirac Delta Function)

  1. Nov 1, 2012 #1
    1. what is the even part of δ(x+3)+δ(x+2) -δ(x+1) +1/2δ(x) +δ(x-1) -δ(x-2) -δ(x-3)?


    2. δ= 0 x≠0; ∞ x = 0
    1/2 (f(x) + f(-x))
    1/2 (f(x) - f(-x))



    Knowing the piecewise definition of the delta function, and knowing 1/2 (f(x) + f(-x)) for even parts of a function. I plug this in, knowing that it will give me delta function to be even. Im not sure of exactly how to approach this problem? any help will be greatly appreciated
     
  2. jcsd
  3. Nov 1, 2012 #2
    It clicked on me last night, while I was thinking about this. I think the way I should approach this problem is not to find out a value per-say of the even part, but to look at this problem graphically. By looking at the graph of the function, I can graph the different spikes then find the "even part" graphically.
     
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