针对推扫模式下多光谱关联成像重构图像模糊、信噪比低问题，提出了一种利用探测信号叠加提高重构图像信噪比的多光谱关联成像方案.该方案基于稀疏约束关联成像光谱相机实验系统，通过单次曝光获得一帧探测信号，对前后帧连续探测信号进行错位叠加，计算出系统总探测矩阵，结合标定测量矩阵，采用压缩感知算法得到待测目标物体重构图像.数值模拟和实验结果表明：适当延迟曝光时间可以提高系统重构图像质量；相同曝光时间条件下，利用探测信号错位叠加的推扫10帧重构图像信噪比明显高于单帧多光谱重构图像.

A multi-spectral ghost imaging scheme was proposed to address the issues of image blurring and degraded signal-to-noise ratio occurring under the push-broom mode by superposing the detected signals. Taking the multi-spectral camera based on ghost imaging via sparsity constraints as the imaging system, in this scheme, adjacent frames of detected signals are shifted superposed, then the corresponding equivalent detection matrix is derived combining with the calibrated measurement matrix, and the image is reconstructed via compressed sensing algorithms. Simulation and experimental results show that:properly increasing the exposure time helps to improve the reconstruction quality; under the same exposure time, images reconstructed from the shift-superposed signals obviously have enhanced SNR than those from the original signals acquired via a single frame.