FTIR trend term removal method based on GA and MSAC algorithms

Bo Yan, Jun-yong Fang, Hao Chen, Shuaihui Li
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Abstract

In Fourier Transform Infrared spectroscopy (FTIR), the original interferometric image needs to be pre-processed by apodization, trend term removal and phase correction before the gas irradiance signal can be obtained by Fourier transform, of which trend term removal is the most important. The common method is least squares (LS), which requires high initial values and is susceptible to noise interference. In this paper, M-estimated sample consistency (MSAC) and Genetic Algorithm (GA) are used to remove the trend term from methane FTIR simulated interference data and compare them with the least squares method. The results show that: compared with the least squares method, the MSAC algorithm can improve the trend term fit by about 20%, but the trend term pattern needs to be known in advance; compared with the MSAC algorithm, the GA algorithm has a slightly lower fit effect of about 5%, but requires lower initial values, is more robust and is suitable for situations where the trend term pattern is unknown; combining the two, the GA-MSAC algorithm proposed in this paper, which both reduces the initial value requirement and greatly improves the accuracy of the trend term removal, is of great importance to Fourier transform infrared spectroscopy.
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基于GA和MSAC算法的FTIR趋势项去除方法
在傅里叶变换红外光谱(FTIR)中,需要对原始干涉图像进行消歧、趋势项去除和相位校正等预处理,然后才能进行傅里叶变换得到气体辐照度信号,其中趋势项去除是最重要的。常用的方法是最小二乘(LS),该方法对初始值要求高,易受噪声干扰。利用m估计样本一致性(MSAC)和遗传算法(GA)去除甲烷红外模拟干扰数据中的趋势项,并与最小二乘法进行比较。结果表明:与最小二乘法相比,MSAC算法可以将趋势项拟合提高20%左右,但趋势项模式需要提前已知;与MSAC算法相比,GA算法的拟合效果略低,约为5%,但需要的初始值更低,鲁棒性更强,适用于趋势项模式未知的情况;结合两者,本文提出的GA-MSAC算法既降低了对初始值的要求,又大大提高了趋势项去除的精度,对傅里叶变换红外光谱具有重要意义。
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