An optimized spectral reconstruction method for shift excitation Raman differential spectroscopy.

Ying Zhao, Xiao-Jia Li, Ji-Wen Chen
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Abstract

Raman spectroscopy is a powerful analytical method, but when the composition of the test sample is intricate, the original spectral data may contain noise and fluorescence background interference, making it more difficult to extract Raman spectral information from the original spectra. Especially the fluorescence background signal, which is typically several orders of magnitude stronger than the Raman signal, can even overwhelm or obscure the Raman signals, thereby impeding the qualitative or quantitative analysis of the Raman spectra. One effective method for removing the fluorescence background is shift excitation Raman differential spectroscopy (SERDS), which typically involves measuring two raw Raman spectra using slightly different excitation wavelengths, combined with reconstruction algorithms, to obtain Raman spectra free from fluorescence interference. For this purpose, a reconstruction method based on Tikhonov regularized least squares (TRLS) was developed in this study, which mitigated the oscillations caused by the direct unconstrained least squares (DULS) reconstruction method. The method was verified and optimized using four groups of artificial datasets with different characteristics. By selecting an appropriate value for parameter α, the relative standard deviation (RSD) of the reconstructed datasets was lower than that of the artificial datasets in most cases. Additionally, we evaluated the performance of the TRLS reconstruction algorithm based on a quantitative model of real Raman spectral datasets, assessing the algorithm's performance from three perspectives: the root mean square error (RMSE), the correlation coefficient (R), and the ratio of prediction to deviation (RPD). The quantitative results indicate that using the TRLS method for reconstruction enhances both prediction accuracy and practicality. In summary, findings from both simulated data and actual experiments demonstrate that the TRLS-based reconstruction method substantially improves the stability and reliability of differential Raman spectra reconstruction.

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移位激发拉曼差分光谱的优化光谱重构方法。
拉曼光谱是一种功能强大的分析方法,但当测试样品的成分错综复杂时,原始光谱数据可能包含噪声和荧光背景干扰,从而增加了从原始光谱中提取拉曼光谱信息的难度。特别是荧光背景信号,它通常比拉曼信号强几个数量级,甚至会淹没或掩盖拉曼信号,从而阻碍拉曼光谱的定性或定量分析。移位激发拉曼差分光谱法(SERDS)是去除荧光背景的一种有效方法,通常包括使用略微不同的激发波长测量两个原始拉曼光谱,并结合重构算法,以获得无荧光干扰的拉曼光谱。为此,本研究开发了一种基于提霍诺夫正则化最小二乘法(TRLS)的重建方法,该方法可减轻直接无约束最小二乘法(DULS)重建方法引起的振荡。该方法利用四组具有不同特征的人工数据集进行了验证和优化。通过选择适当的参数α值,重建数据集的相对标准偏差(RSD)在大多数情况下都低于人工数据集的相对标准偏差。此外,我们还基于真实拉曼光谱数据集的定量模型评估了 TRLS 重建算法的性能,从均方根误差(RMSE)、相关系数(R)和预测与偏差比(RPD)三个角度评估了算法的性能。定量结果表明,使用 TRLS 方法进行重建既提高了预测精度,又增强了实用性。总之,模拟数据和实际实验的结果表明,基于 TRLS 的重建方法大大提高了差分拉曼光谱重建的稳定性和可靠性。
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