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In order to perform a Fast Fourier Transform (FFT), what restrictions are placed on the length...

In order to perform a Fast Fourier Transform (FFT), what restrictions are placed on the length of a data set? What can you do if a data set is the wrong length?

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Answer #1

Answer: Length must be a power of 2 number for FFT calculation.

Explaination:

  • FFT is an algorithm for finding the Discrete Fourier Transform of discrete time domiain sequence or signal.
  • FFT stages separate the even and odd index terms into separate groups of length N/2, in every stage. Again each group is separated into even and odd indexed groups, in all stages.This implies the length must be a power of 2.
  • DFT can be found with any length of signal samples but FFT can only be calculated if the length of the sequece(N) is integer powers of 2.]
  • That is
  • If in case the length is less than any power of the 2 then sufficient number of zeros are added (called zero-padding), to make it a power of 2.
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