计算机科学 ›› 2017, Vol. 44 ›› Issue (7): 279-282.doi: 10.11896/j.issn.1002-137X.2017.07.050
周春佳,孙权森,刘佶鑫
ZHOU Chun-jia, SUN Quan-sen and LIU Ji-xin
摘要： 压缩感知是一种能够在某个特定域中压缩和恢复稀疏信号的技术。针对在使用传统观测矩阵进行数据压缩时,其数据恢复效果并不理想,且观测矩阵的随机性会导致数据传输量较大、硬件实现因难等问题,提出一种新的观测矩阵生成方法。将信道编码中的LDPC校验矩阵与对角块矩阵结合,生成一种尺度较小且易于硬件实现的观测矩阵,这种矩阵不仅高度稀疏,而且元素二值化。通过多组图像重构仿真实验对比发现,LDPC对角块矩阵重构结果优于其他传统观测矩阵的重构结果。
| [1] CANDES E J,ROMBERG J,TAO T.Robust uncertainty principles:exact signal reconstruction from highly incomplete frequency information[J].IEEE Transactions on Information Theory,2004,52(2):489-509. [2] DONOHO D L.Compressed sensing[J].IEEE Transactions on Information Theory,2006,52(4):1289-1306. [3] MA J.Compressed Sensing for Surface Characterization and Metrology[J].IEEE Transactions on Instrumentation & Measurement,2010,59(6):1600-1615. [4] KHWAJA A S,MA J.Applications of Compressed Sensing for SAR Moving-Target Velocity Estimation and Image Compression[J].IEEE Transactions on Instrumentation & Measurement,2011,60(8):2848-2860. [5] CANDES E J,TAO T.Decoding by Linear Programming[J].IEEE Transactions on Information Theory,2005,51(12):4203-4215. [6] CANDES E J,WAKIN M B.An Introduction To Compressive Sampling[J].IEEE Signal Processing Magazine,2008,25(2):21-30. [7] BANDEIRA A S,DOBRIBAN E,MIXON D G,et al.Certifying the Restricted Isometry Property is Hard[J].IEEE Transactions on Information Theory,2013,59(6):3448-3450. [8] YAN W,WANG Q,SHEN Y.Shrinkage-Based AlternatingProjection Algorithm for Efficient Measurement Matrix Construction in Compressive Sensing[J].IEEE Transactions on Instrumentation & Measurement,2014,63(5):1073-1084. [9] BAH B,TANNER J.Vanishingly Sparse Matrices and Ex-pander Graphs,With Application to Compressed Sensing[J].IEEE Transactions on Information Theory,2013,59(11):7491-7508. [10] MAMAGHANIAN H,KHALED N,ATIENZA D,et al.Compressed sensing for real-time energy-efficient ECG compression on wireless body sensor nodes[J].IEEE Transactions on Biomedical Engineering,2011,58(9):2456-2466. [11] FAN F.Toeplitz-structured measurement matrix constructionfor chaotic compressive sensing[C]∥International Conference on Intelligent Control & Information Processing.IEEE,2015. [12] LI S,GE G.Deterministic Sensing Matrices Arising From Near Orthogonal Systems[J].IEEE Transactions on Information Theory,2014,60(4):2291-2302. [13] YU N Y,LI Y.Deterministic construction of Fourier-based compressed sensing matrices using an almost difference set[J].EURASIP Journal on Advances in Signal Processing,2013,2013(1):1-14. [14] 田沛沛.基于压缩感知的测量矩阵设计及在成像系统中的应用[D].天津:天津大学,2014. |
| No related articles found! |
|
||
首页