中文摘要：

针对现有二进制测量矩阵重构性能和硬件实现的负相关性，提出了一种新型压缩感知二进制测量矩阵——伪随机块对角矩阵（PRBD）。PRBD矩阵使用平衡正交Gold序列、块对角矩阵和降采样矩阵，通过结构化的方法构造，不仅保留了确定性矩阵易于硬件实现和计算复杂度低的优点，而且有利于贪婪追踪算法进行图像重构。实验结果表明，PRBD测量矩阵具有良好的重构性能，在峰值信噪比（PSNR）的指标上比常用的二进制测量矩阵提高0．5dB以上。特别地，PRBD测量矩阵可采用图像分块重构的方法，在保证重构性能良好的情况下，图像重构需要的时间较短。

英文摘要：

To solve the problem of the reconstruction performance of the existing binary measurement matrix and the negative correlation from hardware implementation, this paper proposed a new type of compressed sensing pseudo-random block diagonal （PRBD） matrix. It constructed the PRBD measurement matrix by a structured method with the orthogonal balanced Gold se- quences, the block diagonal matrix and the downsampling matrix, which not only had the advantages of easy-hardware imple- mentation and low computing complexity of deterministic measurement matrices, but also made the greedy pursuit algorithm re- construct image smoothly. Theoretical analysis and experimental results show that the PRBD measurement matrix has a good re- construction performance and introduces an increment of 0.5 dB or more in the indicator of PSNR when comparing to the con- ventional binary measurement matrix. Meanwhile,the PRBD measurement matrix will also bring a shorter time for image recon- struction by using image block reconstruction method without impacting the performance of reconstruction.