Li Qi-nan, Xu Xiao-xuan, Wu Zhong-chen, Song Ning, Zhang Cun-zhou, Yu Gang
The Photonics Center of the Physics Institute, Nankai University, Tianjin 300071, China.
Guang Pu Xue Yu Guang Pu Fen Xi. 2006 Dec;26(12):2173-6.
For the problem of multi-wavelength radiation thermometry, the traditional data processing methods are the least squares techniques, the multiple linear regression fitting, and the stepwise regression fitting. There are some shortages in these methods, resulting in a certain error between the fitting result and the true temperature of the object surface. A new data processing method of multi-wavelength radiation thermometry--the orthogonal polynomial regression method was brought forward in this article on the base of variable emissivity. The mathematic principle of orthogonal polynomial regression method was expounded and according to the surface emissivities of tungsten, the true temperature of tungsten surface was simulated by the stepwise regression method and the orthogonal polynomial regression method. By comparing the fitting results, the authors found that the orthogonal polynomial regression method has the merit of simple principle and small operation, and the relative error between the fitting result and the surface true temperature is smaller. So the authors can draw the conclusion that using the orthogonal polynomial regression method to process the data of the multi-wavelength radiation thermometry, the fitting result has smaller error, it can fit the true temperature of object faster, and the result is more accurate than the traditional data processing methods.
针对多波长辐射测温问题，传统的数据处理方法有最小二乘法、多元线性回归拟合和逐步回归拟合。这些方法存在一些不足，导致拟合结果与物体表面真实温度之间存在一定误差。本文在可变发射率的基础上，提出了一种新的多波长辐射测温数据处理方法——正交多项式回归法。阐述了正交多项式回归法的数学原理，并根据钨的表面发射率，用逐步回归法和正交多项式回归法对钨表面的真实温度进行了模拟。通过比较拟合结果，作者发现正交多项式回归法具有原理简单、运算量小的优点，拟合结果与表面真实温度之间的相对误差较小。因此作者可以得出结论，使用正交多项式回归法处理多波长辐射测温数据，拟合误差较小，能更快地拟合物体真实温度，且结果比传统数据处理方法更准确。
