Nyquist-Shannon theorem application for Savitzky-Golay smoothing window size parameter determination in bio-optical signals

Romo-Cárdenas, Gerardo Salvador; Avilés-Rodriguez, Gener; Sanchez-Lopez, Juan de Dios; Cosío-León, María de los Ángeles; Luque, P.A.; Gómez-Gutiérrez, C.M.; Hipólito, Juan Iván Nieto; Vazquez-Briseno, Mabel; Navarro-Cota, C.

doi:10.1016/j.rinp.2018.08.033

Cited by 18 publications

(9 citation statements)

References 13 publications

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“…For example, in fraction SEC 12, the first derivative can be shown to form a sharper local maximum for both C-Pc and APC than that of original graph. This is due to the points number, which produces deeper local minima in fast-changing signals in a certain interval of wavelengths [25][26][27]. This can lead to higher-order spectral derivatives, producing new and deeper local minima (Fig.…”

Section: Discussionmentioning

confidence: 99%

Differential spectroscopic analysis of size‐dependent phycobilisome from Spirulina maxima

Park

Song

Kim

et al. 2020

Biotech and App Biochem

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C-phycocyanin (C-Pc), a photosynthetic pigment for use as a fluorescent indicator or in pharmaceutical, food, and cosmetic products, exists in a phycobilisome complex with allophycocyanin (APC), phycoerythrin (PE), and linker polypeptides. This heterogeneity makes it difficult to quantify phycobilisome composition in an ultraviolet-visible (UV-vis) spectrum. In this study, derivative analysis of UV-vis spectra was successfully applied to display the distinct wavelengths at which C-Pc, APC, and PE have maximal peaks. In all samples, C-Pc of the largest portion had a "zero-crossing" first order, APC did not have a zero-crossing first order, and PE did not have first derivative for zero crossing or local minimum from the 500 and 700 nm, respectively. The results show that derivative analyses coupled with signal smoothing can be applied to elucidate the composition of phycobilisome under various conditions including purification and environment. ©

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Section: Discussionmentioning

confidence: 99%

Differential spectroscopic analysis of size‐dependent phycobilisome from Spirulina maxima

Park

Song

Kim

et al. 2020

Biotech and App Biochem

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“…The length of the moving window in this study is determined aswhere f s is the sampling frequency, f 1 is the fundamental frequency of the responses. The determination of l is based on the Nyquist–Shannon sampling theorem (Shannon, 1949; Romo-Cárdenas et al, 2018), that is, the sampling frequency should be larger than or equal to twice of the largest frequency of the dynamic system. However, the sampling frequency of the measured responses of the beam is set before the dynamic tests.…”

Section: Methodsmentioning

confidence: 99%

Damage detection in bridges under moving loads based on subspace projection residuals

Nie

Xie

et al. 2022

Advances in Structural Engineering

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This paper proposes a data-driven method using subspace projection residual of the responses to identify the damage locations in bridges subjected to moving loads. In this method, a moving window with a certain length determined by the sampling frequency and the fundamental frequency of the measured responses is used to cut out the acceleration responses of the bridge subjected to a moving vehicle. The characteristic subspaces of the windowed signals are subsequently extracted to calculate the local damage index using the subspace projection residual. When the window moves to the damage location, the orthogonality between the active subspace of the damaged state and the null subspace of the healthy state is invalid, which leads to a relatively large projection residual that can be used to localize the damage. To improve the reliability of the proposed approach, a one-side upper confidence limit is introduced. A simply supported beam bridge subjected to a moving mass is simulated to verify the effectiveness of the proposed method. Numerical results indicate that the proposed approach can accurately localize the single and multiple damages, even when the responses are smeared with a significant noise. Experimental tests conducted on a steel beam bridge model also demonstrate the performance and accuracy of the proposed approach. The results demonstrate that the proposed method can localize the damage even with a small number of sensors, indicating the method has a good and promising performance for practical engineering applications.

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“…The optimization of details and intensity needs repeated modification. [13][14][15]17,18 In return, SG performs better than the others.…”

Section: ■ Introductionmentioning

confidence: 99%

Yield-Adjusted Operation for Convolution Filter Denoising

Yao

et al. 2021

Anal. Chem.

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A perfect denoising for measurement shall remove noise, while keeping signal truth, so it is a dual-objective optimization of the signal yield and the noise residue. The frequency difference between the noise and signal is the basis of band-limited filter denoising. The root cause for the sharp peak denoise distortion is the insufficient spectrum sampling because of the scattered frequency distribution, which makes it hard to achieve dual-objective optimization. Thus, this article proposes a four-step operation of the signal yield adjustment for beyond the bandlimited system. The first step is identifying the signal and noise levels in raw data, then adjusting the sampling density of high-signal level areas and enriching it by linear interpolation, then smoothing the reshaped profile, which is friendly to the filter, and finally, restoring the deformed one to its original form. An executable script function has fully achieved the whole operation. Some actual sharp spectra (Raman, NMR, laser-induced breakdown spectroscopy, and X-ray diffraction) make a comparison between the way with the Savitzky−Golay (SG) method and wavelet (multi-scale) denoising. The results show that all the effects are better than those of the SG filter, all estimations of the yield of signals are more than 99%, and the residue of noise is less than 10%. With multi-scale denoising, this operation is more targeted and gets more rational spectrum profilesnoise reduction without spectrum distortion.

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Nyquist-Shannon theorem application for Savitzky-Golay smoothing window size parameter determination in bio-optical signals

Cited by 18 publications

References 13 publications

Differential spectroscopic analysis of size‐dependent phycobilisome from Spirulina maxima

Differential spectroscopic analysis of size‐dependent phycobilisome from Spirulina maxima

Damage detection in bridges under moving loads based on subspace projection residuals

Yield-Adjusted Operation for Convolution Filter Denoising

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