用于痕量N2O检测的多周期低秩重建解析方法研究  

Research on multi-cycle low-rank reconstruction analysis method for trace N2O detection

作　　者：傅潇然[1] 郜峰 杨晓鹏 贾俊杰 孙逸 杨云鹏 马翔云 李奇峰[1] FU Xiaoran;GAO Feng;YANG Xiaopeng;JIA Junjie;SUN Yi;YANG Yunpeng;MA Xiangyun;LI Qifeng(School of Precision Instrument and Opto-Electronics Engineering,Tianjin University,Tianjin 300072,China)

机构地区：[1]天津大学精密仪器与光电子工程学院,天津300072

出　　处：《红外与激光工程》2025年第3期203-210,共8页Infrared and Laser Engineering

基　　金：国家重点研发计划项目(2021YFC2600503)。

摘　　要：为了解决量子级联激光器(Quantum Cascade Laser,QCL)在低浓度笑气N_(2)O定量检测中稳定性低的问题,并进一步降低笑气的检测下限,提出了一种基于多周期低秩重建的解析方法。该方法通过对高速采样下的吸收光谱信号进行矩阵重构,提取信号的低秩特征并去除冗余信息,进而提高信号的信噪比。与传统的正交锁相放大方法相比,所提出的方法在N_(2)O 100 ppb(1 ppb=10^(-9))浓度下的检测标准差可提高至2.82,在10 s采样时间内,拟合优度(R-Square,R^(2))和均方根方差(Root MeanSquared Error,RMSE)分别提升至0.931和0.024,显著提高了低浓度下N_(2)O检测的准确性和重复性,且计算时间仅1.42 s。这一创新方法为痕量气体快速检测技术的发展提供了新的解决方案,有望在环境监测和工业安全等领域得到广泛应用。In order to solve the problem of low stability of quantum cascade laser(QCL)in low-concentration laughing gas(N_(2)O)detection,and further reduce the detection limit of concentration,this paper proposes an analytical method based on multi-cycle low-rank reconstruction.method.This method performs matrix reconstruction on the modulated absorption spectrum signal under high-speed sampling,extracts the low-rank features of the signal and removes redundant information,thereby improving the signal-to-noise ratio of the signal.Compared with the traditional orthogonal phase-locked amplification method,the standard deviation of the proposed method at 100 ppb concentration can be improved to 2.82,and within 10 seconds sampling time,R^(2) and RMSE are improved to 0.931 and 0.024 respectively,which is a significant improvement.Accuracy and repeatability of low-concentration N_(2)O detection.This innovative method provides a new solution for the development of trace gas detection technology and is expected to be widely used in fields such as environmental monitoring and industrial safety.Methods In order to solve the problems of poor repeatability and accuracy of orthogonal phase-locked amplification technology in low concentration detection,this paper developed a new QCL modulation signal analysis method.In view of the characteristics of stable period and obvious difference of the QCL wavelength modulation spectrum,this paper proposed The multi-period low-rank reconstruction analytical method can significantly reduce noise interference by mining the low-rank characteristics of the modulated signal.The sampling is based on the Alternating Least Squares(ALS)algorithm to estimate the maximum singular value of the matrix,and at the singular value Iterative optimization is implemented in the estimation to obtain the optimal singular value distribution curve,thereby achieving signal noise filtering.Results and Discussions The normalized second harmonic peak of the signal under each gas concentration was calculated using the orthog

关 键 词：中红外光谱 量子级联激光器 气体检测 低秩近似 

分 类 号：TH741[机械工程—光学工程]