| 摘要: |
| 分析了压缩感知（CS）的安全性问题，讨论了在攻击者不知道测量矩阵情况下是否
可以有效对信号进行重构的问题，论证了压缩感知可以达到保密性但达不到完善的保密性
。最后联合信道容量和速率失真函数，讨论了压缩感知恢复信号所需测量数据量的下限，并
分析了测量噪声对信号重构性能的影响。 |
| 关键词: 压缩感知 测量矩阵；机密性 信道容量 率失真函数 |
| DOI： |
|
| 基金项目:国家高技术研究发展计划（863计划）项目(2009AA01z209)
；国家自然科学基金资助项目(60902042)；北京市自然科学基金资助项目(4082020) |
|
| Secrecy of Compressed Sensing Measurements |
| WANG Chao,LIANG Da-peng |
| (School of Information Engineering, University of Science and Technology Beijin
g,Beijing 100083,China) |
| Abstract: |
| The security of compressed sensing（CS） is analysed. Wheather the attacker can
effectively recover signal when it does not know measurement matrix is discusse
d. The CS can achieve the confidentiality but is fail to achieve the perfect sec
recy. The lower bound of measure number for the signal recovery of CS is discuss
ed by combining channel capacity with ratedistortion function.
The influence of measurement noise on the signal reconstruction performance lim
itation is also analysed. |
| Key words: compressed sensing(CS) measurement matrix privacy channel capacity rate distort
ion function |
