Friday, 22 April 2016

Discrete Fourier Transform

EXPERIMENT 2: Discrete Fourier Transform

Day two of DSPP practicals. We know knew what to expect and braced ourselves for the same. We were even encouraged by our previous successful experiment. So we entered the lab with a spring in our steps and a song on our lips.
The aim of this experiment was to perform Discrete Fourier Transform.
Initially, we studied the theory of DFT and solved a sum for the same. Using these formulae and results, we proceeded with the experiment.
We developed a function to perform DFT of N point signal and concluded on the effect of zero padding on magnitude spectrum.  We found that as N increases, frequency spacing reduces, approximation of error in representation of spectrum decreases and resolution of spectrum increases. Therefore, the visual appearance of the spectrum increases.
With that we completed two experiments of DSPP. Our joy knew no bounds.


Program codes:  DFT
                           IDFT

5 comments:

  1. Agreed , this was one of the easier experiments

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  2. We perform DFT to convert a signal from time domain to frequency domain

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  3. If signal appended with zeros ,information after DFT remains same.

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  4. The resolution error reduces as N increases.

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  5. The resolution error reduces as N increases.

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