Padding

Time domain interpolation using FFT with zero padding on the end

Time domain interpolation using FFT with zero padding on the end
  1. Does zero padding affect FFT?
  2. What is the use of zero padding in FFT?
  3. How do you interpolate with FFT?
  4. How does zero padding increase frequency resolution?

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.

What is the use of zero padding 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.

How do you interpolate with FFT?

The fastest way to compute a single interpolated FFT spectral sample at frequency k is to merely compute a brute force N‑point DFT of the original x(n) time samples using: where, again, 0 ≤ k ≤ N‑1, and k is not an integer. Assuming the x(n) input in Eq. (6) is real-only, the computational workload comparison of Eq.

How does zero padding increase frequency resolution?

In summary, the use of zero-padding corresponds to the time-limited assumption for the data frame, and more zero-padding yields denser interpolation of the frequency samples around the unit circle. Sometimes people will say that zero-padding in the time domain yields higher spectral resolution in the frequency domain.

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