Comparison of Fourier self-deconvolution and maximum likelihood restoration for curve fitting

Jackson, Richard S.; Griffiths, Peter R.

doi:10.1021/ac00022a005

Cited by 29 publications

(20 citation statements)

References 25 publications

(26 reference statements)

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“…However, since the exact composition of the coal is not known, the selection of parameters, such as the number, position, and width of the bands, is not straightforward. The application of Fourier self-deconvolution, maximum likelihood restoration, and the calculation of derivative spectra has been shown capable of narrowing bandwidths in order to facilitate the selection of these parameters [11,12]. However, these techniques provide poor results for spectra with highly overlapped bands, baseline errors or high noise levels [11,12] Although coal spectra typically exhibit these shortcomings, some of these approaches have been utilized [9,13].…”

Section: E Ft-ir Spectroscopy Methods For Carboxyl and Phenolic Groumentioning

confidence: 99%

“…The application of Fourier self-deconvolution, maximum likelihood restoration, and the calculation of derivative spectra has been shown capable of narrowing bandwidths in order to facilitate the selection of these parameters [11,12]. However, these techniques provide poor results for spectra with highly overlapped bands, baseline errors or high noise levels [11,12] Although coal spectra typically exhibit these shortcomings, some of these approaches have been utilized [9,13]. As an alternative to the approach mentioned above, Solomon et al [14,15] defined a set of 24 Gaussian bands with fixed positions and widths that could reproduce coal spectra within the experimental error.…”

Section: E Ft-ir Spectroscopy Methods For Carboxyl and Phenolic Groumentioning

confidence: 99%

See 1 more Smart Citation

The dual role of oxygen functions in coal pretreatment and liquefaction: Crosslinking and cleavage reactions

Serio¹,

Kroo²,

Teng³

et al. 1991

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Section: E Ft-ir Spectroscopy Methods For Carboxyl and Phenolic Groumentioning

confidence: 99%

Section: E Ft-ir Spectroscopy Methods For Carboxyl and Phenolic Groumentioning

confidence: 99%

The dual role of oxygen functions in coal pretreatment and liquefaction: Crosslinking and cleavage reactions

Serio¹,

Kroo²,

Teng³

et al. 1991

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“…If r is too much low，it will appear pretend peaks and can't get right results [10][11][12] . Hence, before fitting, we should get the E under the different r on the same initial condition, and the right range of r under the convergent value E by E(r) curve.…”

Section: Adjustment Strategy and Algorithm Flowmentioning

confidence: 99%

“…Curve fitting [9][10][11][12] , as the analytical method of overlapping peaks, is based on the principle of least squares. It analyzes the original spectrum to one or more single peak, and then makes a sum.…”

Section: Introductionmentioning

confidence: 99%

Application of Iterative Curve-Fitting Method in Separating Overlapped Peaks of SF<inf>6</inf> Decomposed Products

Zhang

Yao

Xiong

et al. 2008

2008 International Conference on High Voltage Engineering and Application

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The SF 6 decomposed products are very alike, so the peaks of the SF 6 decomposed products are overlapped. It make us hard to quantitative calculate. This paper introduced a method to seperate the overlapped chromatogram peaks with iterative curve-fitting and Gauss function, and deduced the formula of the iterative curve-fitting; provided a method to calculate the initial value of the peaks intensity and width by iterative formula, and confirm the final peaks intensity and width to seperate the overlapped signals. By the analysis of the real chromatogragh data, it proved the validity of this method on the main components used in distinguishing the GIS internal defects. This method overcomes the influence of SF 6 peak to the other thin concentration peaks, so it can use on the study of the quantitative analysis of the decomposed products on different failures and different voltages.I.

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“…Frequently, however, deblurring is not possible or it is insufficient to resolve the relevant bands in a spectrum. Curve fitting can be used, either in conjunction with deblurring 96,98 or as an alternative method, to separate overlapping peaks. 93,[126][127][128] Because curve fitting has a utility related to deblurring, it is addressed here.…”

mentioning

confidence: 99%

Development and Integration of Block Operations for Data Invariant Automation of Digital Preprocessing and Analysis of Biological and Biomedical Raman Spectra

Schulze

Turner

2015

Appl Spectrosc

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High-throughput information extraction from large numbers of Raman spectra is becoming an increasingly taxing problem due to the proliferation of new applications enabled using advances in instrumentation. Fortunately, in many of these applications, the entire process can be automated, yielding reproducibly good results with significant time and cost savings. Information extraction consists of two stages, preprocessing and analysis. We focus here on the preprocessing stage, which typically involves several steps, such as calibration, background subtraction, baseline flattening, artifact removal, smoothing, and so on, before the resulting spectra can be further analyzed. Because the results of some of these steps can affect the performance of subsequent ones, attention must be given to the sequencing of steps, the compatibility of these sequences, and the propensity of each step to generate spectral distortions. We outline here important considerations to effect full automation of Raman spectral preprocessing: what is considered full automation; putative general principles to effect full automation; the proper sequencing of processing and analysis steps; conflicts and circularities arising from sequencing; and the need for, and approaches to, preprocessing quality control. These considerations are discussed and illustrated with biological and biomedical examples reflecting both successful and faulty preprocessing.

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Comparison of Fourier self-deconvolution and maximum likelihood restoration for curve fitting

Cited by 29 publications

References 25 publications

The dual role of oxygen functions in coal pretreatment and liquefaction: Crosslinking and cleavage reactions

The dual role of oxygen functions in coal pretreatment and liquefaction: Crosslinking and cleavage reactions

Application of Iterative Curve-Fitting Method in Separating Overlapped Peaks of SF<inf>6</inf> Decomposed Products

Development and Integration of Block Operations for Data Invariant Automation of Digital Preprocessing and Analysis of Biological and Biomedical Raman Spectra

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