摘要： 现有压缩感知成像系统存储测量矩阵时需要较大空间，针对该问题，提出一种基于图像分块的Toeplitz结构块循环测量矩阵设计方法。将图像分块进行压缩感知，减少测量系统的存储空间，从而降低硬件实现难度。仿真结果表明，该方法能快速有效地获得测量值，且重构图像的主客观质量较好。

关键词: 压缩感知, 测量矩阵, Toeplitz结构, 图像分块, 块循环矩阵

Abstract: According to the problem of existing Compressed Sensing(CS) imaging system requiring a large storage space to store the measure- ment matrix, a Toeplitz structure block-circulant measurements matrix design method based on image blocking is proposed in this paper. It uses the image block compressed sensing theory, decreases the storage space of the measurement system efficiently and reduces the difficulty of hardware implementation. Simulation results show that the proposed method can acquire the measurements quickly and effectively, and the image reconstructed has little loss in subjective and objective quality.

Key words: Compressive Sensing(CS), measurement matrix, Toeplitz structure, image blocking, block-circulant matrix

中图分类号: 

• TN911.73