CAJ | 학술논문

经典最小二乘法（CLS）是傅里叶红外光谱定量分析软件中的一种常用算法。统计学中，当待测信号中的误差为正态分布零均值等方差时，C L S法可以得到最优无偏估计，但对异方差误差则不然。傅里叶红外光谱仪（FTIR）吸光度谱中的噪声相当于异方差误差，通过对噪声源的理论分析和实验统计计算获得了噪声的方差分布，并以此对CLS方法进行加权修正。计算表明，在分析气体中挥发性有机化合物（VOCs）污染浓度时，相比CLS方法，采用仪器噪声方差分布修正后的加权最小二乘法（WLS）可以显著降低噪声对定量精度的影响，提高了分析结果的准确性和可靠性。
경전최소이승법（CLS）시부리협홍외광보정량분석연건중적일충상용산법。통계학중，당대측신호중적오차위정태분포령균치등방차시，C L S법가이득도최우무편고계，단대이방차오차칙불연。부리협홍외광보의（FTIR）흡광도보중적조성상당우이방차오차，통과대조성원적이론분석화실험통계계산획득료조성적방차분포，병이차대CLS방법진행가권수정。계산표명，재분석기체중휘발성유궤화합물（VOCs）오염농도시，상비CLS방법，채용의기조성방차분포수정후적가권최소이승법（WLS）가이현저강저조성대정량정도적영향，제고료분석결과적준학성화가고성。
The Classical Least Square regression (CLS) is one of the most popular regression methods in FTIR quantitative esti-mation .However ,CLS is the best unbiased estimator only under the assumption that error (noise) in the spectrum has equal va-riance ,which usually is not the case in FTIR .This paper proposed a noise calibration method for FTIR spectrum analysis .Based on measured variance of noise in the FTIR spectrum by computer ,the Weighted Least Square regression (WLS) method is used in quantitative estimation .The experiment results showed that the WLS performs much better than CLS in quantitative estima-tion of VOCs pollution .