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Fourier transformation

  1. Jan 30, 2014 #1
    1. The problem statement, all variables and given/known data
    x(t) = 5cos(2*pi*1000*t) and g(t) = ∑ from n=-infinity to infinity delta(t-n/10000)

    find fourier transform of x(t) and g(t) and the product of the two


    3. The attempt at a solution

    x(w) = 5*sqrt(pi/2) [delta(w-2000pi)+delta(w+2000pi)]

    g(w) = 1

    so would the product of the two just be the x(w) ?
     
  2. jcsd
  3. Jan 31, 2014 #2

    vela

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    ##G(\omega)## isn't equal to 1. That's the Fourier transform of a single delta function. You have a train of delta functions.
     
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