Twiddle

How do you map indices to twiddle factors in FFT

How do you map indices to twiddle factors in FFT
  1. What is the twiddle factor in FFT algorithm?
  2. How many twiddle factors are required for computing 32 point FFT?
  3. Why twiddle factor is used in FFT operation?

What is the twiddle factor in FFT algorithm?

A twiddle factor, in fast Fourier transform (FFT) algorithms, is any of the trigonometric constant coefficients that are multiplied by the data in the course of the algorithm. This term was apparently coined by Gentleman & Sande in 1966, and has since become widespread in thousands of papers of the FFT literature.

How many twiddle factors are required for computing 32 point FFT?

For example, to compute the twiddle angle factors for the fifth andsixth butterflies in the third stage of a 32-point FFT, we can assign N= 32, Sstart = 3, Sstop = 3, Bstart = 5, and Bstop = 6, and run the code.

Why twiddle factor is used in FFT operation?

We use the twiddle factor to reduce the computational complexity of calculating DFT and IDFT. Alternatively, we can also say that the twiddle factor has periodicity/a cyclic property.

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