What is the updated version of FFT that does not require 2^n data points?

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Discussion Overview

The discussion centers around the Fast Fourier Transform (FFT) and its evolution, specifically addressing the removal of the 2^n data point restriction in newer algorithms. Participants seek references and insights on updated FFT methods that accommodate a broader range of data points.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant recalls that traditional FFT methods were limited to 2^n data points and seeks updated information on newer versions.
  • Another participant mentions FFTW as a resource for updated FFT algorithms.
  • A different participant clarifies that the 2^n restriction applies to specific algorithms and notes that libraries like FFTW and CUFFT utilize different algorithms that allow for combinations of prime integers.
  • This participant also suggests using numbers that are combinations of powers of 2, 3, and 5 for optimal results.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the FFT algorithms, with some acknowledging the removal of the 2^n restriction while others provide differing perspectives on the types of numbers that should be used.

Contextual Notes

The discussion does not resolve the implications of using different algorithms or the specific conditions under which they operate, nor does it clarify the mathematical details of the updated FFT methods.

Dr.D
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Back when I studied the FFT (many years ago), it was always described as transforming a sample based on 2^n data points. More recently, I have read that this restriction has been removed. Can anyone point me to a good reference on this newer form, preferably something available free on the 'net since I have very limited library access? Any comments on this will be much appreciated.
 
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The 2^n restriction is for a specific algorithm. The fftw and the accelerated libraries like cufft they different algorithms now which allow a wide combination of prime integers. In general I try use only numbers which combinations of powers of only 2,3 and 5.
 
Thank you, Dr Transport & Chris.
 

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