Preprint Article Version 1 This version is not peer-reviewed

Coefficient-of-Determination Discrete Fourier Transform

Version 1 : Received: 1 August 2018 / Approved: 1 August 2018 / Online: 1 August 2018 (08:49:49 CEST)

A peer-reviewed article of this Preprint also exists.

Marko, M.D. Coefficient-of-Determination Fourier Transform. Computation 2018, 6, 61. Marko, M.D. Coefficient-of-Determination Fourier Transform. Computation 2018, 6, 61.

Journal reference: Computation 2018, 6, 61
DOI: 10.3390/computation6040061

Abstract

This algorithm is designed to perform Discrete Fourier Transforms (DFT) to convert temporal data into spectral data. This algorithm obtains the Fourier Transforms by studying the Coefficient of Determination of a series of artificial sinusoidal functions with the temporal data, and normalizing the variance data into a high-resolution spectral representation of the time-domain data with a finite sampling rate. What is especially beneficial about this DFT algorithm is that it can produce spectral data at any user-defined resolution.

Subject Areas

Fourier Transform; spectral domain; resolution; coefficient of determination

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