Analyzing Raman Spectral Data without Separability Assumption

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ID: 281896
2020
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摘要
Raman spectroscopy is a well established tool for the analysis of vibration spectra, which then allow for the determination of individual substances in a chemical sample, or for their phase transitions. In the Time-Resolved-Raman-Sprectroscopy the vibration spectra of a chemical sample are recorded sequentially over a time interval, such that conclusions for intermediate products (transients) can be drawn within a chemical process. The observed data-matrix $M$ from a Raman spectroscopy can be regarded as a matrix product of two unknown matrices $W$ and $H$, where the first is representing the contribution of the spectra and the latter represents the chemical spectra. One approach for obtaining $W$ and $H$ is the non-negative matrix factorization. We propose a novel approach, which does not need the commonly used separability assumption. The performance of this approach is shown on a real world chemical example.
参考键
weber2020analyzing 使用此键在稿件中自动引用，同时使用 SciMatic 稿件管理器或论文管理器
作者 Konstantin Fackeldey; Jonas Röhm; Amir Niknejad; Surahit Chewle; Marcus Weber
期刊 arXiv
年份 2020
DOI
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URL
http://arxiv.org/abs/2007.06428v1
关键词
math.na cs.na physics.chem-ph physics.comp-ph 15a18, 65f99, 92e99 g.1.3; g.1.6; i.6.3

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