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A radix-6 FFT algorithm via a special complex system

Jian Jiang

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Abstract

By using a special complex number, a radix 6 FFT algorithm is developed, in which the component 6 point DFTs do not require any multiplication. The amount of arithmetic operation for the new algorithm is compared with that of standard radix 6, standard radix 6 with prime factor algorithm, standard radix 3, new radix 3 algorithm of Dubois, and radix 2, and radix 4 FFT algorithm in the Cartesian coordinate system.

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What this paper is about

By using a special complex number, a radix 6 FFT algorithm is developed, in which the component 6 point DFTs do not require any multiplication. The amount of arithmetic operation for the new algorithm is compared with that of standard radix 6, standard radix 6 with prime factor algorithm, standard radix 3, new radix 3 algorithm of Dubois, and radix 2, and radix 4 FFT algorithm in the Cartesian coordinate system.

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Available abstract

By using a special complex number, a radix 6 FFT algorithm is developed, in which the component 6 point DFTs do not require any multiplication. The amount of arithmetic operation for the new algorithm is compared with that of standard radix 6, standard radix 6 with prime factor algorithm, standard radix 3, new radix 3 algorithm of Dubois, and radix 2, and radix 4 FFT algorithm in the Cartesian coordinate system.

Key concepts: Radix (gastropod), Fast Fourier transform, Arithmetic, Prime-factor FFT algorithm, Algorithm, Split-radix FFT algorithm, Multiplication (music), Computer science

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