Discrete Fourier Transform of a signal converts the signal from time domain to frequency domain. On performing the experiment, we observe that as the number of points increases, i.e. from 4 point to 8 point, the magnitude spectrum becomes smoother. The DFT pf any signal will have the same number of elements as that of the signal.
Go to the link below to view the code for DFT,
https://drive.google.com/open?id=0B8OWu2Drhsp0dC1yUmxuMmJDcUk
Go to the link below to view the code for DFT,
https://drive.google.com/open?id=0B8OWu2Drhsp0dC1yUmxuMmJDcUk
With zero padding, the length of signal increases, the number of points per unit length in the spectrum increases, and so the resolution of the spectrum increases and hence the the approximation error reduces.
ReplyDeleteYes, that makes the curve a lot more smoother...
DeleteExtremely clear and concise description!
ReplyDeleteThis is non technical comment.
DeleteDFT assumes that input signal is periodic in nature.
ReplyDelete