The Centered Discrete Fourier Transform and a parallel implementation of the FFT
Dale H. Mugler
Abstract
Dale H. Mugler
Abstract
This paper describes a novel method for the computation of the Discrete Fourier Transform (DFT). The development of a truly centered DFT is coupled with a method for computing the Centered DFT to provide an FFT that requires no complex multiplications and which allows a highly parallel implementation.
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This paper describes a novel method for the computation of the Discrete Fourier Transform (DFT). The development of a truly centered DFT is coupled with a method for computing the Centered DFT to provide an FFT that requires no complex multiplications and which allows a highly parallel implementation.
Key concepts: Fast Fourier transform, Discrete Fourier transform (general), Split-radix FFT algorithm, Prime-factor FFT algorithm, Computer science, Computation, Discrete Hartley transform, Cyclotomic fast Fourier transform