DISCRETE FOURIER TRANSFORM

Discrete Fourier Transform, transforms one function into another which is called the frequency domain repreransentation. In this experiment, we found Discrete Fourier Transform of the input signal and then verified it by mathematical formulae. Then we plotted the magnitude spectrum of the output signal and analysed the results. We found that as N(length of the signal) increases,frequency spacing reduces, approximate error reduces and resolution of the spectra increases. DFT  is used to convert signals from Time Domain to Frequency Domain.

Comments

  1. Effect of length on spectra is mentioned which is good

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  2. Very informative and well written.

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  3. DFT has more computations which makes it slower than FFT

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  4. As the length of the signal increases the resolution increases because basically we are taking more samples.

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  5. Yes therefore we use FFT for fast computations

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  6. The magnitude spectrum is periodic due to the characteristic of twiddle factor

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