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Discrete Time Fourier Transform

  1. Apr 8, 2013 #1
    Find the DTFT of:

    h[n]=(-1)[itex]^{n}[/itex][itex]\frac{sin(\frac{\pi}{2}n}{sin(\pi n}[/itex]

    useful properties:

    x[n]y[n] --> X[Ω]*Y[Ω]

    [itex]\frac{sin(\frac{\pi}{2}n}{sin(\pi n}[/itex] --> rect[[itex]\frac{2Ω}{\pi}[/itex]

    I have no clue how to deal with the (-1)[itex]^{n}[\itex] the DTFT of that doesn't converge. . .

    any help would be appreciated
  2. jcsd
  3. Apr 8, 2013 #2


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    Why do you say that?
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