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In this paper we present alternate form of Radix-4/8 and split radix FFT’s based on DIF (decimation in frequency) version and discuss their implementation issues that further reduces the arithmetic complexity of power-of-two discrete Fourier Transform. This is achieved with circular shift operation on a subset of the output samples resulting from the decomposition in these FFT algorithms and a proposed dynamic scaling. These modifications not only provide saving in the calculation of twiddle factor, but also reduce the total flop count to ≈4Nlog2N almost 6% fewer than the standard Radix-4 FFT algorithm 2 11 3 log 12 N N  , 5% fewer than the standard Radix-8 FFT, and 2 7 3 log 9 N N  , 5.5% fewer than the standard split radix FFT.

" A RADIX-4/8/SPLIT RADIX FFT WITH REDUCED ARITHMETIC COMPLEXITY ALGORITHM"