A Fast Algorithm of Compressed Sensing for 2D Signals

References

• D. L. Donoho, “Compressed sensing,” IEEE Trans. Inf. Theory, Vol. 52, no. 4, pp. 1289–306, Feb. 2006.
   Web of Science ®Google Scholar
• E. J. Candès, “Compressive sampling,” in International Congress of Mathematicians, Vol. 3, Madrid: European Mathematical Society, 2006, pp. 1433–52.
   Google Scholar
• R. G. Baraniuk, “Compressive sensing,” IEEE Signal Process. Mag., Vol. 24, no. 4, pp. 118–20, Jul. 2007.
   Web of Science ®Google Scholar
• M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing. New-York, NY: Springer Publishers Inc., 2010, pp. 87–9.
   Google Scholar
• E. J. Candès, “The restricted isometry property and its implications for compressed sensing,” C. R. Math., Vol. 346, pp. 589–92, 2008.
   Web of Science ®Google Scholar
• E. J. Candès, and M. B. Wakin, “An introduction to compressive sampling,” IEEE Signal Process. Mag., Vol. 25, no. 2, pp. 21–30, Mar. 2008.
   Web of Science ®Google Scholar
• R. G. Baraniuk, M. A. Davenport, R. Devore, and M. Wakin, “A simple proof of the restricted isometry property for random matrices,” Constructive Approx., Vol. 28, pp. 253–63, Jan. 2008.
   Web of Science ®Google Scholar
• Q. Tian, and J. Wu, “A review on face recognition based on compressive sensing,” IETE Tech. Rev., Vol. 30, no. 5, pp. 427–38, Sep. 2013.
   Web of Science ®Google Scholar
• Y. C. Eldar, and G. Kutyniok, Compressed Sensing: Theory and Applications. Cambridge: University Press, 2012, pp. 1–48.
   Google Scholar
• K. Yin, F. Sun, S. Zhou, and C. Zhang, “PAR model SAR image interpolation algorithm on GPU with CUDA,” IETE Tech. Rev., Vol. 31, no. 3, pp. 297–306, Jul. 2014.
   Google Scholar
• Y. Zhang, G. Zhang, and Z. Zhu, “Cloud acceleration method for compressed sensing in internet of things,” J. Univ. Electron. Sci. Technol. China, Vol. 43, no. 3, pp. 413–9, May 2014.
   Google Scholar
• N. Oh, “An ultra-low phase noise CMOS VCO design technique for mobile applications,” IETE Tech. Rev., Vol. 32, no. 1, pp. 52–6, Jan. 2015.
   Web of Science ®Google Scholar
• S. S. Chen, D. L. Donoho, and M. A. Saunders, “Atomic decomposition by basis pursuit,” Siam Rev., Vol. 43, no. 1, pp. 129–59, Jan. 2001.
   Web of Science ®Google Scholar
• R. Neff, and A. Zakhor, “Very low bit rate video coding based on matching pursuits,” IEEE Trans. Circuits Syst. Video Technol., Vol. 7, pp. 158–71, Feb. 1997.
   Web of Science ®Google Scholar
• J. Tropp, and A. Gilbert, “Signal recovery from random measurements via orthogonal matching pursuit,” IEEE Trans. Inf. Theory, Vol. 53, pp. 4655–66, Dec. 2007.
   Web of Science ®Google Scholar
• D. L. Donoho, Y. Tsaig, I. Drori, and J. Starck, “Sparse solution of underdetermined systems linear equations by stagewise orthogonal matching pursuit,” IEEE Trans. Inform. Theory, Vol. 58, pp. 1094–121, Feb. 2012.
   Web of Science ®Google Scholar
• D. Needell, and R. Vershynin, “Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit,” Found. Comput. Math., Vol. 9, no. 3, pp. 317–34, Jun. 2009.
   Web of Science ®Google Scholar
• L. Gan, “Block compressed sensing of natural images,” in Proceedings of the 15th International Conference on Digital Signal Processing, Cardiff, UK, 2007, pp. 403–6.
   Google Scholar
• M. Sungkwang, and J. E. Fowler, “Block compressed sensing of images using directional transforms,” in Proceedings of the 16th IEEE international Conference on Image Processing, Cairo, Egypt, 2009, pp. 3021–24.
   Google Scholar
• P. Sermwuthisarn, S. Auethavekiat, and V. Patanavijit, “A fast image recovery using compressive sensing technique with block based orthogonal matching pursuit,” in Proceeding of the Intelligent Signal Processing and Communication Systems, Kanazawa, Japan, 2009, pp. 212–5.
   Google Scholar
• A. Huang, G. Guan, Q. Wan, and A. Mehbodniya, “A block orthogonal matching pursuit algorithm based on sensing dictionary,” Int. J. Phys. Sci., Vol. 6, no. 5, pp. 992–9, Mar. 2011.
   Google Scholar
• R. Rubinstein, M. Zibulevsky, and M. L. Elad, “Efficient implementation of the K-SVD algorithm and the Batch-OMP method,” Tech. Rep. Tech. Comput. Sci. Dep., Technion, 2008. Available: http://www.researchgate.net/publication/251229200_Efficient_Implementation_of_the_K-SVD_Algorithm_Using_Batch_Orthogonal_Matching_Pursuit
   Google Scholar
• S. Krstulovic, and R. Gribonval, “MPTK: Matching pursuit made tractable,” in Proceedings of the International Conference on Acoustics, Speech and Signal Processing, Toulouse, France, 2006.
   Google Scholar