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优化 Savitzky-Golay 参数以提高红外光谱的光谱分辨率和定量分析。

Optimizing Savitzky-Golay parameters for improving spectral resolution and quantification in infrared spectroscopy.

机构信息

Department of Organic Chemistry and Biochemistry, Ruder Bošković Institute, Bijenička 54, 10000 Zagreb, Croatia.

出版信息

Appl Spectrosc. 2013 Aug;67(8):892-902. doi: 10.1366/12-06723.

Abstract

Calculating derivatives of spectral data by the Savitzky-Golay (SG) numerical algorithm is often used as a preliminary preprocessing step to resolve overlapping signals, enhance signal properties, and suppress unwanted spectral features that arise due to nonideal instrument and sample properties. Addressing these issues, a study of the simulated and measured infrared data by partial least-squares regression has been conducted. The simulated data sets were modeled by considering a range of undesired chemical and physical spectral anomalies and variations that can occur in a measured spectrum, such as baseline variations, noise, and scattering effects. The study has demonstrated the importance of the optimization of the SG parameters during the conversion of spectra into derivative form, specifically window size and polynomial order of the fitting curve. A specific optimal window size is associated with an exact component of the system being estimated, and this window size does not necessarily apply for some other component present in the system. Since the optimization procedure can be time-consuming, as a rough guideline spectral noise level can be used for assessment of window size. Moreover, it has been demonstrated that, when the extended multiplicative signal correction (EMSC) is used alongside the SG procedure, the derivative treatment of data by the SG algorithm must precede the EMSC normalization.

摘要

通过 Savitzky-Golay(SG)数值算法计算光谱数据的导数通常用作解决重叠信号、增强信号特性以及抑制由于仪器和样品不理想而产生的不需要的光谱特征的预处理步骤。为了解决这些问题,已经通过偏最小二乘回归对模拟和测量的红外数据进行了研究。通过考虑在测量光谱中可能发生的一系列不理想的化学和物理光谱异常和变化,例如基线变化、噪声和散射效应,对模拟数据集进行了建模。研究表明,在将光谱转换为导数形式的过程中,SG 参数(特别是窗口大小和拟合曲线的多项式阶数)的优化非常重要。与正在估计的系统的确切组件相关的特定最佳窗口大小,并且该窗口大小不一定适用于系统中存在的某些其他组件。由于优化过程可能很耗时,因此可以使用光谱噪声水平作为评估窗口大小的大致指导。此外,已经证明,当与 SG 过程一起使用扩展乘法信号校正(EMSC)时,SG 算法对数据的导数处理必须先于 EMSC 归一化。

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