Zero

Non radix-2 FFT hardware implementation zero-padding vs custom algorithms

Non radix-2 FFT hardware implementation zero-padding vs custom algorithms
  1. What is the advantage of Radix 2 FFT algorithm in comparison with the classical DFT method?
  2. What is the use of zero padding in FFT?
  3. Why is it necessary to pad an image with zeros before computing its DFT?
  4. How does zero padding affect DFT?

What is the advantage of Radix 2 FFT algorithm in comparison with the classical DFT method?

DFT requires no multiplies. The overall result is called a radix 2 FFT. A different radix 2 FFT is derived by performing decimation in frequency. A split radix FFT is theoretically more efficient than a pure radix 2 algorithm [73,31] because it minimizes real arithmetic operations.

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.

Why is it necessary to pad an image with zeros before computing its DFT?

If one has any interest in the spectrum of the windowing function used to isolate the time-domain sample, then zero-padding WILL increase the frequency resolution of the windowing function.

How does zero padding affect DFT?

You can interpolate the DFT by zero padding. Zero padding enables you to obtain more accurate amplitude estimates of resolvable signal components. On the other hand, zero padding does not improve the spectral (frequency) resolution of the DFT. The resolution is determined by the number of samples and the sample rate.

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