2011•Unpublished venueRequires access

The Centered Discrete Fourier Transform and a parallel implementation of the FFT

Dale H. Mugler

Open publisher page 13 citations

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.

About this research paper

What this paper is about

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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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

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

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