Frequency response plots for Savitzky-Golay filter functions

Betty, K. R.; Horlick, Gary

doi:10.1021/ac50010a045

Cited by 23 publications

(8 citation statements)

References 6 publications

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“…The frequency response of this filter was reported by Betty et al 11 in 1977. The Savitzky-Golay filter is a low-pass filter, and is able to reduce noise and the amplitude of sharp peaks (high rate intensity variations).…”

Section: Savitzky-golay Smoothing Filtersupporting

confidence: 58%

Denoising of single scan Raman spectroscopy signals

et al. 2010

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Noise reduction algorithms for improving Raman spectroscopy signals while preserving signal information were implemented. Algorithms based on Wavelet denoising and Kalman filtering are presented in this work as alternatives to the well-known Savitky-Golay algorithm. The Wavelet and Kalman algorithms were designed based on the noise statistics of real signals acquired using CCD detectors in dispersive spectrometers. Experimental results show that the random noise generated in the data acquisition is governed by sub-Poisson statistics. The proposed algorithms have been tested using both real and synthetic data, and were compared using Mean Squared Error (MSE) and Infinity Norm (L ∞ ) to each other and to the standard Savitky-Golay algorithm. Results show that denoising based on Wavelets performs better in both the MSE and L ∞ the sense.

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Section: Savitzky-golay Smoothing Filtersupporting

confidence: 58%

Denoising of single scan Raman spectroscopy signals

et al. 2010

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“…Because of the FFT, the forward and inverse Fourier transformation route represents a significant savings in computation time. In addition, as with filtering (20), it is far easier to appreciate some of the properties of the correlation and convolution process by examining them in Fourier space.…”

Section: Methodsmentioning

confidence: 99%

Improved discrimination of noisy spectra in correlation based spectral analysis

Hoffmann¹,

Proctor²,

Hercules³

1989

Anal. Chem.

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“…Several authors have described the frequency response of least squares filters. 5,[9][10][11] Of these, the review by Willson and Edwards 11 contains large, easily readable figures, while that of Bromba and Ziegler 9 clearly shows the effect of filter degree. Various approaches have been taken to determine frequency content, including both calculus and numeric computation.…”

Section: Frequency Response Of Quadratic and Quartic Filtersmentioning

confidence: 99%

Least Squares Digital Filters Revisited

Lytle¹

2008

Appl Spectrosc

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Frequency response plots for Savitzky-Golay filter functions

Cited by 23 publications

References 6 publications

Denoising of single scan Raman spectroscopy signals

Denoising of single scan Raman spectroscopy signals

Improved discrimination of noisy spectra in correlation based spectral analysis

Least Squares Digital Filters Revisited

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