Monday, 13 March 2017

Discrete Fourier Transform

Discrete Fourier Transform (D.F.T) is the transform that deals with a finite discrete-time signal and a discrete number of frequencies. It is the frequency sampled version of D.T.F.T (Discrete Time Fourier Transform). D.F.T gives N coefficient values in frequency domain and it's spectrum is discrete.

In this experiment, we have performed D.F.T over signals of length N=4 and N=8 using C programming. We also determined the number of computations required to find the D.F.T of a signal. Thus we can conclude that D.F.T is computationally slow.


10 comments:

  1. DFT assumes periodic input hence its spectrum is discrete

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  2. By appending more zeroes, the missing values in less point DFT are present in the DFT with more point.

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  3. DFT converts a finite sequence of equally-spaced samples of a function into an equivalent-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency.

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  4. DFT is obtained by sampling of DTFT

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  5. Dft is frequency sampling of dtft..It converts a continuous signal into a discrete signal

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  6. DFT is obtained by sampling DTFT

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  7. DFT is obtained by sampling DTFT

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  8. DFT is periodic in nature because of periodic nature of twiddle factor

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