Table of Contents Author Guidelines Submit a Manuscript
Journal of Electrical and Computer Engineering
Volume 2017, Article ID 3458054, 7 pages
https://doi.org/10.1155/2017/3458054
Research Article

A New Generalized Orthogonal Matching Pursuit Method

College of Information Engineering, Northeast Electric Power University, Jilin 132012, China

Correspondence should be addressed to Liquan Zhao; moc.361@nauqil_oahz

Received 26 January 2017; Revised 1 July 2017; Accepted 16 July 2017; Published 13 August 2017

Academic Editor: Jar Ferr Yang

Copyright © 2017 Liquan Zhao and Yulong Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D. L. Donoho, “Compressed sensing,” Institute of Electrical and Electronics Engineers. Transactions on Information Theory, vol. 52, no. 4, pp. 1289–1306, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. R. Zhao and H. N. Yu, “Compressed sensing, based over-complete dictionary learning algorithm for images,” Journal of Northeast Dianli University, vol. 32, no. 4, pp. 44–47, 2012. View at Google Scholar
  3. H. N. Yu and L. Li, “Compressed sensing,” Journal of Northeast Dianli University, vol. 32, no. 1, pp. 79–83, 2011. View at Google Scholar
  4. S. S. Chen, D. L. Donoho, and M. A. Saunders, “Atomic decomposition by basis pursuit,” SIAM Journal on Scientific Computing, vol. 20, no. 1, pp. 33–61, 1998. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. M. A. T. Figueiredo, R. D. Nowak, and S. J. Wright, “Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems,” IEEE Journal on Selected Topics in Signal Processing, vol. 1, no. 4, pp. 586–597, 2007. View at Publisher · View at Google Scholar · View at Scopus
  6. I. Daubechies, M. Defrise, and C. de Mol, “An iterative thresholding algorithm for linear inverse problems with a sparsity constraint,” Communications on Pure and Applied Mathematics, vol. 57, no. 11, pp. 1413–1457, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. S. G. Mallat and Z. Zhang, “Matching pursuits with time-frequency dictionaries,” IEEE Transactions on Signal Processing, vol. 41, no. 12, pp. 3397–3415, 1993. View at Publisher · View at Google Scholar · View at Scopus
  8. J. A. Tropp and A. C. Gilbert, “Signal recovery from random measurements via orthogonal matching pursuit,” Institute of Electrical and Electronics Engineers. Transactions on Information Theory, vol. 53, no. 12, pp. 4655–4666, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. D. Needell and R. Vershynin, “Signal recovery from incomplete and inaccurate measurements via regularized orthogonal matching pursuit,” IEEE Journal on Selected Topics in Signal Processing, vol. 4, no. 2, pp. 310–316, 2010. View at Publisher · View at Google Scholar · View at Scopus
  10. D. L. Donoho, Y. Tsaig, I. Drori, and J.-L. Starck, “Sparse solution of underdetermined systems of linear equations by stagewise orthogonal matching pursuit,” Institute of Electrical and Electronics Engineers. Transactions on Information Theory, vol. 58, no. 2, pp. 1094–1121, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. W. Dai and O. Milenkovic, “Subspace pursuit for compressive sensing signal reconstruction,” Institute of Electrical and Electronics Engineers. Transactions on Information Theory, vol. 55, no. 5, pp. 2230–2249, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. D. Needell and J. A. Tropp, “CoSaMP: iterative signal recovery from incomplete and inaccurate samples,” Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications, vol. 26, no. 3, pp. 301–321, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  13. J. Wang, S. Kwon, and B. Shim, “Generalized orthogonal matching pursuit,” IEEE Transactions on Signal Processing, vol. 60, no. 12, pp. 6202–6216, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. J. Wang, S. Kwon, P. Li, and B. Shim, “Recovery of sparse signals via generalized orthogonal matching pursuit: a new analysis,” IEEE Transactions on Signal Processing, vol. 64, no. 4, pp. 1076–1089, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. S. Satpathi, R. L. Das, and M. Chakraborty, “Improving the bound on the RIP constant in generalized orthogonal matching pursuit,” IEEE Signal Processing Letters, vol. 20, no. 11, pp. 1074–1077, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. Y. Shen, B. Li, W. Pan, and J. Li, “Analysis of generalised orthogonal matching pursuit using restricted isometry constant,” Electronics Letters, vol. 50, no. 14, pp. 1020–1022, 2014. View at Publisher · View at Google Scholar · View at Scopus
  17. B. Li, Y. Shen, Z. Wu, and J. Li, “Sufficient conditions for generalized orthogonal matching pursuit in noisy case,” Signal Processing, vol. 108, pp. 111–123, 2015. View at Publisher · View at Google Scholar · View at Scopus