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Updated: Jun 23, 2025

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
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ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

Published on: August 19, 2021

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一种LIBS频谱基线校正方法,基于非参数的先前处罚最小方程算法

Shengjie Ma1,2,3, Shilong Xu1,2,3, Youlong Chen1,2,3

  • 1State Key Laboratory of Pulsed Power Laser Technology, National University of Defense Technology, Hefei 230037, People's Republic of China. skl_hyh@163.com.

Analytical methods : advancing methods and applications
|June 19, 2024
PubMed
概括

一个新的非参数先前惩罚最小方程 (NPPPLS) 算法通过有效纠正光谱背景噪声来改进激光诱导分解光谱 (LIBS) 分析. 这种方法提高了定量分析的准确性,并显示出其他光谱技术的前景.

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Calibration Curves: Linear Least Squares

A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
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Residuals and Least-Squares Property

The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
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In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the...
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To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
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