介绍了一种基于DMD的Hadamard变换成像光谱仪的物理模型。 以7阶S矩阵为例进行论述, 通过改进编码模板的设计方案, 使所有色散光谱都能被严格编码为7段。 提出了一种针对复原后光谱图像的修正方法, 以7阶的S矩阵编码, 最终可以获得6幅质量较高的光谱图像。 如以n阶的S矩阵编码, 最终可以获得n-1幅质量较高的光谱图像。 实验结果证明了该方案的可行性和有效性。

A novel type of DMD-based Hadamard transform spectral imager is introduced. Taking the 7-order S-matrix as an example for discussion, the present paper develops an improved design of Hadamard encoding mask, which makes the dispersed spectrum of all pixels to be encoded by seven elements strictly. A correcting method for the recovered spectral images is proposed, and eventually 6 high-quality spectral images are obtained when Hadamard transform spectral imager operates based on 7-order S-matrix. Similarly, if the spectral imager operates based on n-order S-matrix, n-1 spectral images can be obtained. The experimental results show that the improved design and the correction method are feasible and effective.