非均匀采样干涉数据光谱反演技术研究  

Spectrum Recovery Methods for Nonuniform Sampling Interferogram

作　　者：姚涛[1,2] 吕群波[3] 相里斌[3] 袁艳[4] 

机构地区：[1]中国科学院西安光学精密机械研究所,陕西西安710119 [2]中国科学院研究生院,北京100049 [3]中国科学院光电研究院,北京100080 [4]北京航空航天大学仪器科学与光电工程学院,北京100083

出　　处：《光谱学与光谱分析》2010年第5期1430-1433,共4页Spectroscopy and Spectral Analysis

基　　金：国家自然科学基金项目(60532070);国家(973计划)项目(2009CB724005)资助

摘　　要：干涉光谱成像仪获取的干涉数据是一种中间数据,需要进行光谱反演才能够得到目标光谱数据,傅里叶变换方法是常规的光谱反演方法。由于干涉数据中存在非均匀采样问题,若忽略光谱混叠,直接采用快速傅里叶变换会导致反演光谱的失真,难以满足实时处理需求。针对非均匀采样干涉数据的光谱反演需求,将插值及非均匀快速傅里叶变换(NUFFT)方法应用到光谱反演处理中,对过采样及部分欠采样情况下的非均匀采样干涉数据,提出了相应的光谱反演方法,并分析了方法的适用性。最后对过采样及部分欠采样情况下的光谱反演方法进行计算机仿真,过采样情况下采用NUFFT方法反演光谱的精度要明显高于插值方法,而部分欠采样情况下插值方法反演光谱的精度要明显高于NUFFT方法,并对欠采样造成的光谱混叠有一定的修正,验证了方法的有效性。The interferogram acquired by imaging Fourier transform spectrometer （IFTS） can’t be used directly and must be recovered. The spectrum recovery processes based on fast Fourier transform （FFT） is the traditional method which is used widely. For some IFTS, the nonuniform sampling of the interferogram is often occurrs. When the aliasing is neglected, the spectrum recovered by traditional method is often distorted. When the spectrum recovery processes based on Fourier transform are used, the precision of the recovered spectrum can be ensured, but the real-time processing requirement can’t be satisfied. In order to acquire the precise recovered spectrum of the nonuniform sampled interferogram, the interpolation method and nonuniform fast Fourier transform （NUFFT） method were adopted. For the oversampled interferogram and partial undersampled interferogram, the spectrum recovery methods based on interpolation and NUFFT were presented respectively, and the applicability of these two methods is given. Finally, the computer simulation was performed, and the results indicate that NUFFT method is preferable to interpolation method not for undersampled interferogram but for oversampled interferogram.

关 键 词：干涉数据 非均匀采样 光谱反演 插值 光谱混叠 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]