Non Radix-2 FFT Algorithms

1. What is radix 2 FFT algorithm?
2. Which are the two algorithms in FFT?
3. What are different types of FFT algorithms?
4. What is difference between radix 2 and radix-4 FFT?

What is radix 2 FFT algorithm?

Radix-2 algorithm is a member of the family of so called Fast Fourier transform (FFT) algorithms. It computes separately the DFTs of the even-indexed inputs (x0,x2,...,xN−2) and of the odd-indexed inputs (x1,x3,...,xN−1), and then combines those two results to produce the DFT of the whole sequence.

Which are the two algorithms in FFT?

There are two main families of FFT algorithms: the Cooley-Tukey algorithm and the Prime Factor algorithm.

What are different types of FFT algorithms?

A large number of FFT algorithms have been developed over the years, notably the Radix-2, Radix-4, Split- Radix, Fast Hartley Transform (FHT),, Quick Fourier Transform (QFT),, and the Decimation-in-Time-Frequency (DITF), algorithms.

What is difference between radix 2 and radix-4 FFT?

Radix-4 FFT Algorithm

A stage is half of radix-2. The radix-4 DIF FFT divides an N-point discrete Fourier transform (DFT) into four N 4 -point DFTs, then into 16 N 16 -point DFTs, and so on. In the radix-2 DIF FFT, the DFT equation is expressed as the sum of two calculations.