An efficient FFT algorithm based on the radix-2/4 DIF approach for computing 3D DFT
We propose a 3D split vector-radix decimation-in-frequency (DIF) FFT algorithm for computing the 3D DFT, based on a mixture of radix-(2/spl times/2/spl times/2) and radix-(4/spl times/4/spl times/4) index maps. It is shown that the proposed algorithm reduces the computational complexity significantly in comparison to the existing 3D vector radix FFT algorithms as well as algorithms that are based on row-column decomposition. In addition, since the proposed algorithm is expressed in a simple matrix form using the Kronecker product, it facilitates easy software or hardware implementation of the algorithm.