2007
DOI: 10.1366/000370207779947558
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Two-Point Maximum Entropy Noise Discrimination in Spectra over a Range of Baseline Offsets and Signal-to-Noise Ratios

Abstract: The two-point maximum entropy method (TPMEM) is a useful method for signal-to-noise ratio enhancement and deconvolution of spectra, but its efficacy is limited under conditions of high background offsets. This means that spectra with high average background levels, regions with high background in spectra with varying background levels, and regions of high signal-to-noise ratios are smoothed less effectively than spectra or spectral regions without these conditions. We report here on the cause of this TPMEM lim… Show more

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Cited by 12 publications
(21 citation statements)
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References 17 publications
(22 reference statements)
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“…The methods and justification for the implementation of each processing step have been described previously (Matthews et al 2010). Briefly, a very conservative amount of spectral smoothing was applied with an in-house version of the two-point maximum entropy method (Greek et al 1995, Schulze et al 2007, Jirasek et al 2006, Matthews et al 2008. Baseline estimation was performed with a modified version of the signal removal method (Schulze et al 2005) for the LWN window and with three-point linear interpolation for the HWN window.…”
Section: Spectral Processing and Data Analysismentioning
confidence: 99%
“…The methods and justification for the implementation of each processing step have been described previously (Matthews et al 2010). Briefly, a very conservative amount of spectral smoothing was applied with an in-house version of the two-point maximum entropy method (Greek et al 1995, Schulze et al 2007, Jirasek et al 2006, Matthews et al 2008. Baseline estimation was performed with a modified version of the signal removal method (Schulze et al 2005) for the LWN window and with three-point linear interpolation for the HWN window.…”
Section: Spectral Processing and Data Analysismentioning
confidence: 99%
“…Peak clipping, the truncation of peak tops, is a common occurrence with many smoothing methods. 60,61,69,70 It can be seen in Fig. 6c that some high intensity bins had more counts than would be expected for a normal distribution.…”
Section: Smoothingmentioning
confidence: 82%
“…Common smoothing-induced problems are losses in peak height, increases in peak width, and possibly other distortions in peak shape, as well as the related loss of resolution in the smoothed spectrum. 77,79,124,125 Figure 5C shows some of these smoothing effects on a simulated Raman spectrum, to which normally distributed noise was added, for a few smoothing approaches: a zero order Savitzky-Golay filter; a second order Savitzky-Golay filter; and a v 2 -based 77 filter. The simulated Raman spectrum, without noise, is also shown for comparison.…”
mentioning
confidence: 99%
“…TPMEM is ineffective when used with Raman signals that ride on a large background because the negative two-point entropies for two adjacent points, which are approximately equal in relative magnitudes, also do not differ much; so little advantage accrues from smoothing. 79 In contrast, if the baseline is flattened and has a ''zero'' mean, TPMEM is quite effective in SNR improvement, especially for low-SNR spectra. [78][79][80] The effect of a baseline is evident in Fig.…”
mentioning
confidence: 99%
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