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Discrete Fourier Transform

In this experiment, we performed Discrete Fourier Transform of 4-point sequence, zero padded signal (zero padding done to the 4 point sequence signal). Magnitude spectrum of the two case was drawn and observed that DFT coefficients are defined for w=2pik/n. Also the spectrum is discrete in the range 0 to pi.From the two cases when the signal was zero padded the length of the signal increased due to which frequency spacing got decreased which increases the Resolution the spectrum.We also observed that DFT produces periodic Results.Computations in DFT which included real Multiplication and Additions was also Calculated and we found that Discrete Fourier Transform is slow.   

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