光谱成像系统受色差影响会导致图谱混叠，本文将单像素成像以及计算关联成像分别与光谱成像系统相结合，并在系统中引入900~1 700 nm适用的消色差透镜来校正色差。首先计算出不同胶合消色差透镜的色差大小并以此选取透镜，所选消色差透镜相较其它透镜对色差校正可以提高一个量级。其次分析了色差对光谱成像系统的影响以及单像素成像和计算关联成像的差异。最后仿真和试验分析单像素光谱成像和计算关联光谱成像特点。试验结果表明对于900~1 700 nm的近红外光谱成像，基于消色差透镜的单像素光谱成像系统取得了更好的图像重构结果，其峰值信噪比（Peak Signal to Noise Ratio，PSNR）提高了3.93 dB，结构相似度（Structural Similarity, SSIM）提高了0.96%。消色差透镜的单像素光谱成像系统在近红外光谱成像中重构图像效果优于无消色差透镜的计算关联光谱成像。

The influence of chromatic aberration in a spectral imaging system leads to spectral overlap of an image. This study combines single-pixel imaging and computational ghost imaging in a spectral imaging system， with an achromatic lens of 900-1 700 nm focal length to correct for chromatic aberration. First， the chromatic aberration of achromatic lenses made of different materials was calculated， and a suitable lens was selected accordingly； its aberration-correction was improved by an order of magnitude compared with other lenses. Second， the effects of chromatic aberration on spectral imaging systems and the differences between single-pixel imaging and computational ghost imaging were analyzed. Finally， two spectral imaging systems were compared through simulation and experimental analysis. The experimental results indicate that in the 900-1 700 nm wavelength range， the single-pixel spectral imaging system based on an achromatic lens achieves better image reconstruction results， with peak signal-to-noise ratio （PSNR） ］and structural similarity （SSIM） improvements of 3.93 dB and 0.96%， respectively. Simulations and experiments verify that the near-infrared single-pixel spectral imaging system based on an achromatic lens performs better than computational ghost spectral imaging.