Separation Research of Measurement Matrices Based on 0-1 Sparse Circulant Matrix

Cheng Tao; Zhu Guobin; Liu Yu′an

doi:10.3788/aos201333.0220001

[1] Wu Haijia, Zhang Xiongwei, Chen Weiwei. Measurement matrixes in compressed sensing theory ［J］. J. Military Communications Technology, 2012, 33(1): 90～94

[2] Zhang Cheng, Yang Hairong, Wei Sui. Compressive double lens imaging using deterministic phase mask ［J］. Acta Photonica Sinica, 2011, 40(6): 949～954

[3] M. F. Duarte, M. A. Davenport, D. Takhar et al.. Single-pixel imaging via compressive sampling ［J］. IEEE Signal Processing Magazine, 2008, 25(2): 83～91

[4] M. Akcakaya, P. Jinsoo, V. Tarokp. A coding theory approach to noisy compressive sensing using low density frames ［J］. IEEE Trans. Signal Processing, 2011, 59(11): 5369～5379

[5] Fu Qiang, Li Qiong. The research of constructing the measurement matrix in compressive sensing ［J］. Computer & Telecommunication, 2011, 47(9): 39～41

[6] Jiao Licheng, Yang Shuyuan, Liu Fang et al.. Development and prospect of compressive sensing ［J］. Acta Electronica Sinica, 2011, 39(7): 1651～1662

[7] Liu Jiying. Application of Compressed Sensing in Imaging ［D］. Changsha: National University of Defense Technology, 2010

[8] M. Elad. Optimized projections for compressed sensing ［J］. IEEE Trans. Signal Processing, 2007, 55(12): 5695～5702

[9] J. M. Duarte-Carvajalino, G. Sapiro. Learning to sense sparse signals: simultaneous sensing matrix and sparsifying dictionary optimization ［J］. IEEE Trans. Image Processing, 2009, 18(7): 1395～1408

[10] Xiao Xiaochao, Zheng Baoyu, Wang Chenhao. Compressed channel estimation based on optimized measurement matrix ［J］. Signal Processing, 2012, 28(1): 67～72

[11] Zhao Ruizhen, Qin Zhou, Hu Shaohai. An optimization method for measurement matrix based on eigenvalue decomposition ［J］. Signal Processing, 2012, 28(5): 653～658

[12] Yu Lifeng, Li Gang, Chang Liping. Optimizing projection matrix for compressed sensing systems［C］. 2011 8th International Conference on Information, Communications and Signal Processing (ICICS), 2011

[13] D. L. Donoho, Y. Tsaig, I. Drori et al.. Sparse solution of underdetermined systems of linear equations by stagewise orthogonal matching pursuit ［J］. IEEE Trans. Information Theory, 2012, 58(2): 1094～1121

[14] E. J. Candes, T. Tao. Near-optimal signal recovery from random projections: universal encoding strategies ［J］. IEEE Trans. Information Theory, 2006, 52(12): 5406～5425

[15] D. L. Donoho. Compressed sensing ［J］. IEEE Trans. Information Theory, 2006, 52(4): 1289～1306

[16] D. Wei, O. Milenkovic. Subspace pursuit for compressive sensing signal reconstruction ［J］. IEEE Trans. Information Theory, 2009, 55(5): 2230～2249