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Relationship between Fourier series Coefficients and F Transform

  1. Mar 25, 2014 #1
    1. The problem statement, all variables and given/known data

    "Suppose x[n] is a DT (discrete time) periodic signal with fundamental period N. Let us define x[itex]_{n}[/itex][n] to be x[n] for n ε {0, 1,2, ... , N-1} and zero elsewhere. Denote the Fourier transform of x[itex]_{n}[/itex][n] with X[itex]_{n}[/itex][e^jω]. How can one find the Fourier Series coefficients a[itex]_{k}[/itex][n] from X[itex]_{n}[/itex][e^jω]? Using the provided connection show that Fourier Series coefficients are indeed periodic with period N."


    2. Relevant equations

    None.

    3. The attempt at a solution

    By "provided connection" I think my TA meant the answer from the first part of the question, ie. finding the relationship between FS and FT.

    I am not entirely sure which Fourier coefficients we are supposed to link, those for x[n], or x[itex]_{n}[/itex][n].

    I know the expressions for the Fourier coefficients and Fourier transform, but as with much of what this TA gives us, I don't know where to begin otherwise.
     
  2. jcsd
  3. Mar 27, 2014 #2
    Anyone? I'm still stuck with this one.
     
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