DFT of the same signal with different values of N

1. What does N-point DFT mean?
2. How do you calculate N in DFT?
3. How does the length of a signal affect the DFT?
4. What is the difference between DFT and DTFT?

What does N-point DFT mean?

Definition. An N-point DFT is expressed as the multiplication , where is the original input signal, is the N-by-N square DFT matrix, and. is the DFT of the signal.

How do you calculate N in DFT?

DFT[x1(n) N x2(n)] = X1(k)X2(k) Where N indicates N-point circular convolution. Where N Indicates N-point circular convolution.

How does the length of a signal affect the DFT?

The length N of the DFT is the number of frequency points that will result in the DFT output. Zero padding will result in more frequency samples, however this does not increase frequency resolution, it just interpolates samples in the DTFT.

What is the difference between DFT and DTFT?

original sequence spans all the non-zero values of a function, its DTFT is continuous (and periodic), and the DFT provides discrete samples of one cycle. If the original sequence is one cycle of a periodic Page 2 function, the DFT provides all the non-zero values of one DTFT cycle.