Padding

Zero Padding in Implementing FFT from scratch

Zero Padding in Implementing FFT from scratch
  1. Does zero padding affect FFT?
  2. Why zero padding is needed in FFT?
  3. Is zero padding is mandatory for both linear and circular convolution?
  4. Why is zero padding done in circular convolution?

Does zero padding affect FFT?

Zero padding allows one to use a longer FFT, which will produce a longer FFT result vector. A longer FFT result has more frequency bins that are more closely spaced in frequency.

Why zero padding is needed in FFT?

In addition to making the total number of samples a power of two so that faster computation is made possible by using the fast Fourier transform (FFT), zero padding can lead to an interpolated FFT result, which can produce a higher display resolution.

Is zero padding is mandatory for both linear and circular convolution?

The linear convolution of an N-point vector, x , and an L-point vector, y , has length N + L - 1. For the circular convolution of x and y to be equivalent, you must pad the vectors with zeros to length at least N + L - 1 before you take the DFT.

Why is zero padding done in circular convolution?

The method of extending signals by adding zeros is known as zero padding . If three zeros are added to each of the signals and then a circular convolution is performed, the result is the same as that of a linear convolution.

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