利用干涉成像光谱仪对目标进行窄带高光谱成像探测具有高光通量、高光谱分辨率和高目标分辨率等优点。按照尼奎斯特定理对窄带光谱干涉信息进行采样存在较大的数据冗余，增加了后期傅里叶变换的数据处理量，影响光谱的复原效率。在分析窄带光谱傅里叶变换特性的基础上，提出了基于滤光片光谱透射率函数的窄带光谱压缩采样方法。引入滤光片参数和混叠参数，可以复原不同精度的窄带光谱信息。配以符合要求的多带通窄带滤光片，可对目标进行压缩采样获取多个谱段的窄带光谱信息，从而避免了逐个谱段探测，提高了探测效率。对该方法进行了仿真分析和实验验证，得到了与目标光谱相吻合的复原窄带光谱。

Interferometric imaging spectrometer has the advantage of high flux, high spectral resolution and high target resolution when it is used for narrow-band hyperspectral imaging detection. When the fringe pattern is sampled according to the Nyquist law, it produces large data redundancy which increases the data of Fourier transform and affects the spectrum recovery efficiency. To improve the recovery efficiency of interferometric imaging spectrometer, a narrow-band compressive sampling method based on the transmittance function of optical band-pass filter is described after analyzing the Fourier transform characteristics of narrow-band spectrum. By introducing different parameters of the filter and aliasing parameter, we can get compressive sampling frequency of narrow-band spectrum with different recovery accuracy. Together with the optical multi-band-pass narrow-band filter, we can obtain multiple-band spectrums information of the target through direct compressive sampling in order to avoid the by-band detection and to improve the detection efficiency. The proposed method is verified by simulation and experiment. As a result, the recovery narrow-band spectrum is consistent with the target spectrum.