A novel variant of the Savitzky-Golay filter for spectroscopic applications

Abstract

The author describes a novel variant of the Savitzky-Golay filter. By studying the underlying principles of the Savitzky-Golay filter a digital filter has been designed which improves the low-pass filter characteristics, whilst maintaining the 'shape'-conserving features of the original method. This novel variant is compared with the original method and a standard method of improving the low-pass characteristics, namely multiple applications of the original method. The variant incurs a similar computational overhead to the original method, and in addition provides improved filtering characteristics. Consequently it should supersede the Savitzky-Golay filter in spectroscopic applications.

Detection of DC series arc in more electric aircraft power system based on optical spectrometry

“…Then, can be expressed as Spectral data were weighted and averaged during the convolution calculation. The baseline drift phenomenon of spectrum signal was suppressed [27, 28], so an effective baseline correction of was achieved. Characteristic wavelength of arc can be obtained according to the maximum point of .…”

“…1, pp. [24][25][26][27][28][29] This is an open access article published by the IET and CEPRI under the Creative Commons Attribution -NonCommercial License (http://creativecommons.org/licenses/by-nc/3.0/)…”

A modified method of side data analysis of deep level transient spectroscopy spectra

“…An additional improvement can be obtained by increasing the number of points utilized in filtering, or increasing the number of filtering, or using a windowed version of Savitzky-Golay filters. 20 Even if we remove ''bad'' points from the Arrhenius analysis, we can still observe small oscillations in the Arrhenius plot which are due to noise component. It is obvious that both the number of ''bad'' points and the magnitude of oscillations are increasing with the increase of the noise component.…”

Progress towards an unassisted element identification from Laser Induced Breakdown Spectra with automatic ranking techniques inspired by text retrieval

“…A smoothing of the LIBS spectrum with, for example, a Savitzky-Golay filter [18], would help in reducing the noise and, thus, in improving the effectiveness of the peak finding algorithm.…”