Denoising of Spectra by Adaptive Multiwindow Polynomial Fitting

Serguei Charonov

Working Paper Article Version 1 This version is not peer-reviewed

Version 1 : Received: 7 August 2021 / Approved: 9 August 2021 / Online: 9 August 2021 (09:06:12 CEST)

A method for noise reduction of spectra based on the adaptive application of the Savitsky-Golay polynomial filter is presented. A polynomial approximation is calculated at all points of the spectrum and for all window sizes. The weighted sum of all polynomials containing the point to be processed is used as the result. The weighting factors are calculated by evaluating the quality of the fit. This paper proposes two evaluation functions. The performance of the presented method is compared with the Savitsky-Golay method and the wavelet noise reduction method. The proposed approach provides good noise reduction performance without using user-entered parameters.

http://www.geologie-lyon.fr/Raman/: Handbook of Raman Spectra for geology

https://doi.org/10.6084/m9.figshare.14899329: Data sets

https://spectralmultiplatform.blogspot.com/p/mathsmooth.html: Online version of an adaptive polynomial filter.

Denoising; Savitzky-Golay filter; polynomial fitting

Computer Science and Mathematics, Probability and Statistics

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Denoising of Spectra by Adaptive Multiwindow Polynomial Fitting

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