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Integration in Frequency Domain

  1. Oct 6, 2015 #1
    How to integrate $$\int_{-0.5}^{0.5} {\bigg({\frac{1}{4-2e^{-j2{\pi}f}}}\bigg)}^2 df$$
     
  2. jcsd
  3. Oct 6, 2015 #2

    BvU

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    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution

    Hello again; must be you forgot how PF homework sections work: you are supposed to make an effort yourself.
    In the mean time I do wonder where this comes from and what the problem statement really is: you now seem to be wanting to integrate a complex function over a section of the real axis ?
     
  4. Oct 6, 2015 #3
    I did try it somewhere else using integration by parts but the function to be integrate just got more complicated as I go on.
    I am suppose to find the energy signal of a DTFT [ie X(f)] signal. The range defined is over the principal period of the DTFT signal.
     
  5. Oct 6, 2015 #4

    BvU

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    Isn't the energy a real number ?
     
  6. Oct 6, 2015 #5
    Yeah? So can you give me some hints on how to integrate the complex function?
     
  7. Oct 6, 2015 #6

    HallsofIvy

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    I would think a rather obvious substitution would be [itex]u= 4- 2e^{j2\pi f}[/itex]. Did you try that? What do you get?
     
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