Coefficient-of-Determination Discrete Fourier Transform

Matthew Marko

doi:10.20944/preprints201808.0009.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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.

Fourier Transform; spectral domain; resolution; coefficient of determination

Computer Science and Mathematics, Discrete Mathematics and Combinatorics

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Coefficient-of-Determination Discrete Fourier Transform

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