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Computation 2018, 6(4), 61;

Coefficient-of-Determination Fourier Transform

Naval Air Warfare Center Aircraft Division, Joint-Base McGuire-Dix-Lakehurst, Lakehurst, NJ 08733, USA
Disclaimer: NAVAIR Public Release 2016-755 Distribution Statement A—“Approved for public release; distribution is unlimited”.
Received: 1 August 2018 / Revised: 31 October 2018 / Accepted: 8 November 2018 / Published: 27 November 2018
(This article belongs to the Section Computational Engineering)
Full-Text   |   PDF [12206 KB, uploaded 27 November 2018]   |  


This algorithm is designed to perform numerical transforms to convert data from the temporal domain into the spectral domain. This algorithm obtains the spectral magnitude and phase 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 algorithm is that it can produce spectral data at any user-defined resolution, and this highly resolved spectral data can be transformed back to the temporal domain. View Full-Text
Keywords: Fourier Transform; spectral domain; resolution; Coefficient of Determination Fourier Transform; spectral domain; resolution; Coefficient of Determination

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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

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