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Math Help - Discrete Fourier Transform (DFT).

  1. #1
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    Discrete Fourier Transform (DFT).

    Compute the discrete Fourier Transform (DFT) for the following spatial domain points. Draw magnitude spectrum and compute its phase spectrum as well.

    f(0)=15, f(1)=220, f(2)=60, f(3)42, f(4)=54, f(5)=75, f(6)=105, f(7)=150
    Last edited by mr fantastic; November 27th 2010 at 04:07 AM. Reason: Title.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by ajbozdar View Post
    Compute the discrete Fourier Transform (DFT) for the following spatial domain points. Draw magnitude spectrum and compute its phase spectrum as well.

    f(0)=15, f(1)=220, f(2)=60, f(3)42, f(4)=54, f(5)=75, f(6)=105, f(7)=150
    What is the problem here, this is a computational excise. You are being asked to compute (numerically):

    \displaystyle X_k=\sum_{n=0}^{N-1}x_ne^{-\frac{2\pi}{N}kn},\  \ \ k=0,.., N-1

    Then do the requested plots.

    CB
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