Support driven recovery algorithm for non-convex compressed sensing

被引:0
|
作者
Wang F. [1 ,2 ]
Xiang X. [2 ]
Yi K. [1 ]
Xiong L. [2 ]
机构
[1] State Key Lab. of Integrated Service Networks, Xidian Univ., Xi'an
[2] Aeronautics and Astronautics Engineering College, Air Force Engineering Univ., Xi'an
关键词
Basis pursuit; Compressed sensing; Iteratively reweighted Lp minimization;
D O I
10.3969/j.issn.1001-2400.2016.02.001
中图分类号
学科分类号
摘要
A novel method is presented for the purpose of recovering sparse high dimensional signals from few linear measurements, especially in the noisy case. The proposed method works in the following two steps: The support of signal is approximately identified via Thresholded Basis Pursuit(TBP), the weighting matrix and parameters needed for the next step are also computed; The Iteratively Reweighted Lp Minimization(IRLp) procedure is used to solve the non-convex objective function. As theoretic interpretation and simulation results show, lower computational complexity is required for the proposed Support Driven IRLp(SD-IRLp) algorithm for high probability recovery, in comparison to 7 analogous methods(including an oracle estimator). © 2016, Science Press. All right reserved.
引用
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页码:1 / 5and28
页数:527
相关论文
共 16 条
  • [1] Candes E.J., Wakin M.B., An Introduction to Compressive Sampling, IEEE Signal Processing Magazine, 25, 2, pp. 21-30, (2008)
  • [2] Yang Y., Li M., Wang X., Improved Sparse Multipath Channel Equation Method, Journal of Xidian University, 41, 1, pp. 158-163, (2014)
  • [3] Wang L., Shi G., Li F., Et al., Compressed Sensing Image Reconstruction in Multiple Sparse Spaces, Journal of Xidian University, 40, 3, pp. 73-80, (2013)
  • [4] Saligrama V., Zhao M., Thresholded Basis Pursuit: LP Algorithm for Order-wise Optimal Support Recovery for Sparse and Approximately Sparse Signals from Noisy Random Measurements, IEEE Transactions on Information Theory, 57, 3, pp. 1567-1586, (2011)
  • [5] Gorodnitsky I.F., Rao B.D., Sparse Signal Reconstruction from Limited Data Using FOCUSS: A Re-weighted Minimum Norm Algorithm, IEEE Transactions on Signal Processing, 45, 3, pp. 600-616, (1997)
  • [6] Candes E.J., Romberg J., Tao T., Stable Signal Recovery from Incomplete and Inaccurate Measurements, Communications on Pure and Applied Mathematics, 59, 8, pp. 1207-1223, (2006)
  • [7] Needell D., Tropp J.A., CoSaMP: Iterative Signal Recovery from Noisy Samples, Applied and Computational Harmonic Analysis, 26, 3, pp. 301-321, (2008)
  • [8] Friedlander M.P., Mansour H., Saab R., Et al., Recovering Compressively Sampled Signals Using Partial Support Information, IEEE Transactions on Information Theory, 58, 2, pp. 1122-1134, (2012)
  • [9] Ba D., Babadi B., Purdon P.L., Et al., Convergence and Stability of Iteratively Re-weighted Least Squares Algorithms, IEEE Transactions on Signal Processing, 62, 1, pp. 183-195, (2014)
  • [10] Ji S.H., Xue Y., Carin L., Bayesian Compressive Sensing, IEEE Transactions on Signal Processing, 56, 6, pp. 2346-2356, (2008)