基于相位相关性的傅里叶变换光谱数据的相位误差修正方法

摘要

相位误差的校正是傅里叶变换成像光谱仪数据处理的重要环节之一.针对干涉曲线的对称性特征,利用相位相关性计算方法,提出一种新的傅里叶变换光谱数据的相位校正的方法.将相位相关性拟合为Sinc函数,计算亚像素的偏移量,采用离散余弦变换转换到光谱域.使用标准光谱库中的源光谱数据作为原始数据,将通过离散余弦变换仿真的干涉数据与该方法得到的结果进行比较和验证,并与Mertz方法进行了对比.结果表明:该方法精度优于Mertz方法,并且计算简单.%Phase error correction (PEC) is an important step during hyperspectral data processing of the Fourier transform spectrometer. We present a new method for phase correction of the Fourier transform data according to the symmetry of interference curve and the calculation of phase correlation method. The phase correlation is fitted to Sine function, the sub-pixel offset is calculated, and the interference curve is converted into spectral domain through discrete cosine transform (DCT). The interference data simulated by DCT is compared with the data by Mertz method, and the results shows that the proposed method has higher correction accuracy than Mertz and simple calculation.