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一种迭代加权l_1范数的信号优化恢复方法 被引量:3

Signal recovery based on iterative weighted l_1 norm
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摘要 稀疏信号的快速优化恢复是压缩感知理论(Compressed Sensing,CS)研究的热点。讨论了参数选取对迭代加权l1范数优化算法恢复效果的影响,并将参数规则化过程引入到算法中,提出了带有参数规则化过程的迭代加权l1范数优化算法。最后通过数值实验,表明改进的算法较大程度地提升了对稀疏信号的恢复能力。 Rapid recovery of sparse signals is an important issue in compressed sensing.This paper discusses the parameter selection of the signal recovery algorithm via the iterative weighted l1 norm.A regularization strategy is introduced for the iterative weighted l1 norm to improve the stability of the recovery algorithm.Several numerical experiments are carried out to evaluate the improvement of the proposed algorithm.Numerical result shows that the proposed algorithm can obviously improve the accuracy and stability of sparse signal recovery.
出处 《计算机工程与应用》 CSCD 北大核心 2010年第3期128-130,共3页 Computer Engineering and Applications
基金 国家自然科学基金No.60776795 国家教育部新世纪人才支持计划 西北工业大学科技创新基金~~
关键词 压缩感知 稀疏信号 参数规则化 信号恢复 compressed sensing sparse signal parameter regularization strategy signal recovery
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参考文献10

  • 1Cand~s E.Compressive sampling[C]//International Congress of Mathematics.Madrid, Spain, 2006,3 : 1433-1452.
  • 2Donoho D.Compressed sensing[J].IEEE Trans on Information Theory,2006,52(4) : 1289-1306.
  • 3Takhar D,Laska J,Wakin M,et al.A new compressive imaging camera architecture using optical-domain compression[C]//Proceedings of the International Society for Optical Engineering(SPIE). Bellingham WA:International Society for Optical Engineering, 2006,6065.
  • 4Lustig M,Donoho D L,Pauly J M.Rapid MR imaging with compressed sensing and randomly under-sampled 3DFT trajectories[C]// Proceedings of the 14th Annual Meeting of ISMRM,Seattle,WA, 2006.
  • 5Potter L C,Schniter P,Ziniel J.Sparse reconstruction for RADAR[C]// SPIE Algorithms for Synthetic Aperture Radar Imagery ⅩⅤ, 2008.
  • 6Bajwa W U,Sayeed A,Nowak R.Compressed sensing of wireless channels in time,frequency,and space[C]//Asilomar Conf on Signals, Systems, and Computers, Pacific Grove, California, October 2005.
  • 7Candes E,Tao T.Near optimal signal recovery from random projections : universal encoding strategies[J].IEEE Trans Inf Theory, 2006, 52: 5406-5425.
  • 8Baraniuk R.A lecture on compressive sensing[J].IEEE Signal Processing Magazine, 2007-07.
  • 9Chen S,Donoho D,Saunders M.Atomic decomposition by basis pursuit[J].SIAM J Sci Comput, 1998,20( 1 ) :33-61.
  • 10Candes E J,Wakin M B,Boyd S P.Enhancing sparsity by reweighted 11 minimization[J].Joural of Fourier Analysis and Applications, 2008,14( 5-6 ).

同被引文献34

  • 1Beutel J,Dyer M,Lim R,et al.Automated wireless sensor network testing[C]//Fourth International Conference on Networked Sensing Systems.[S.l.]:IEEE,2007.
  • 2Chou C T, Rana R, Hu W.Energy efficient information collection in wireless sensor networks using adaptive compressive sensing[C]//IEEE 34th Conference on Local Computer Networks.[S.l.] : IEEE, 2009 : 443-450.
  • 3Chang C H, Ji J.Compressed sensing MRI with multi- channel data using multicore processors[J].Magnetic Res- onance in Medicine,2010,64(4) : 1135-1139.
  • 4Amaro J P,Ferreira F J T E,Cortesao R,et al.Low cost wireless sensor network for in-field operation monitoring of induction motors[C]//2010 IEEE International Confer- ence on Industrial Technology(ICIT).[S.l.]: IEEE, 2010: 1044-1049.
  • 5Candes E J, Tao T.Decoding by linear programming[J]. IEEE Transactions on Information Theory, 2005,51 (12) : 4203 -4215.
  • 6Baraniuk R G.Compressive sensing lecture notes[J].Signal Processing Magazine, 2007,24 (4) : 118-121.
  • 7Candes E J,Tao T.Near-optimal signal recovery from ran- dom projections:Universal encoding strategies?[J].IEEE Trans- actions on Information Theory, 2006,52 (12) : 5406-5425.
  • 8Tropp J, Gilbert A C.Signal recovery from partial infor- mation via orthogonal matching pursuit[J].IEEE Transac- tion on Information Theory,2005,53(12):4655-4666.
  • 9Gilbert A C, Strauss M J,Tropp J A,et al.Algorithmic linear dimension reduction in the l_1 norm for sparse vectors[J].arXiv preprint cs/0608079,2006.
  • 10Gilbert A C, Strauss M J,Tropp J A,et al.One sketch for all: fast algorithms for compressed sensing[C]//Pro- ceedings of the 39th Annual ACM Symposium on Theory of Computing.[S.l.]: ACM, 2007 : 237-246.

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