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Volumn 20, Issue 4, 2013, Pages 403-406

The exact support recovery of sparse signals with noise via orthogonal matching pursuit

Author keywords

Compressed sensing; orthogonal matching pursuit; restricted isometry property; support recovery

Indexed keywords

GREEDY ALGORITHMS; LINEAR MEASUREMENTS; NOISY OBSERVATIONS; ORTHOGONAL MATCHING PURSUIT; RESTRICTED ISOMETRY PROPERTIES; RESTRICTED ISOMETRY PROPERTIES (RIP); SPARSE SIGNALS; SUPPORT RECOVERIES;

EID: 84874968862     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2012.2233734     Document Type: Article
Times cited : (93)

References (26)
  • 1
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • DOI 10.1109/TIT.2005.862083
    • E. Candes, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489-509, Feb. 2006. (Pubitemid 43174093)
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.2 , pp. 489-509
    • Candes, E.J.1    Romberg, J.2    Tao, T.3
  • 2
    • 57349181932 scopus 로고    scopus 로고
    • Compressed sensing and best k-termapproximation
    • A. Cohen,W. Dahmen, and R. DeVore, "Compressed sensing and best k-termapproximation," J. Amer.Math. Soc, vol. 22, no. 1, pp. 211-231, 2009.
    • (2009) J. Amer.Math. Soc , vol.22 , Issue.1 , pp. 211-231
    • Cohen, A.1    Dahmen, W.2    Devore, R.3
  • 3
    • 65749110333 scopus 로고    scopus 로고
    • Subspace pursuit for compressive sensing signal reconstruction
    • W. Dai and O.Milenkovic, "Subspace pursuit for compressive sensing signal reconstruction," IEEE Trans. Inf. Theory, vol. 55, no. 5, pp. 2230-2249, 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.5 , pp. 2230-2249
    • Dai, W.1    Milenkovic, O.2
  • 4
    • 33144483155 scopus 로고    scopus 로고
    • Stable recovery of sparse overcomplete representations in the presence of noise
    • DOI 10.1109/TIT.2005.860430
    • D. Donoho, M. Elad, and V. Temlyakov, "Stable recovery of sparse overcomplete representations in the presence of noise," IEEE Trans. Inf. Theory, no. 1, pp. 6-18, 2006. (Pubitemid 43263116)
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.1 , pp. 6-18
    • Donoho, D.L.1    Elad, M.2    Temlyakov, V.N.3
  • 5
    • 34447622649 scopus 로고    scopus 로고
    • On lebesgue-type inequalities for greedy approximation
    • D. Donoho, M. Elad, and V. Temlyakov, "On lebesgue-type inequalities for greedy approximation," J. Approx. Theory, vol. 147, no. 2, pp. 185-195, 2007.
    • (2007) J. Approx. Theory , vol.147 , Issue.2 , pp. 185-195
    • Donoho, D.1    Elad, M.2    Temlyakov, V.3
  • 7
    • 62749175137 scopus 로고    scopus 로고
    • Cosamp: Iterative signal recovery from incomplete and inaccurate samples
    • D. Needell and J. Tropp, "Cosamp: Iterative signal recovery from incomplete and inaccurate samples," Appl. Comput. Harmon. Anal., vol. 26, no. 3, pp. 301-321, 2009.
    • (2009) Appl. Comput. Harmon. Anal. , vol.26 , Issue.3 , pp. 301-321
    • Needell, D.1    Tropp, J.2
  • 8
    • 5444237123 scopus 로고    scopus 로고
    • Greed is good: Algorithmic results for sparse approximation
    • J. Tropp, "Greed is good: Algorithmic results for sparse approximation," IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2231-2242, 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.10 , pp. 2231-2242
    • Tropp, J.1
  • 10
    • 50649107089 scopus 로고    scopus 로고
    • Approximation and learning by greedy algorithms
    • A. Barron, A. Cohen, W. Dahmen, and R. DeVore, "Approximation and learning by greedy algorithms," Ann. Statist., vol. 36, pp. 64-94, 2008.
    • (2008) Ann. Statist. , vol.36 , pp. 64-94
    • Barron, A.1    Cohen, A.2    Dahmen, W.3    Devore, R.4
  • 12
    • 79959566409 scopus 로고    scopus 로고
    • Orthogonal matching pursuit for sparse signal recovery with noise
    • T. Cai and L. Wang, "Orthogonal matching pursuit for sparse signal recovery with noise," IEEE Trans. Inf. Theory, vol. 57, no. 7, pp. 4680-4688, 2011.
    • (2011) IEEE Trans. Inf. Theory , vol.57 , Issue.7 , pp. 4680-4688
    • Cai, T.1    Wang, L.2
  • 13
    • 0035504028 scopus 로고    scopus 로고
    • Uncertainty principles and ideal atomic decomposition
    • DOI 10.1109/18.959265, PII S0018944801089465
    • D. Donoho and X. Huo, "Uncertainty principles and ideal atomic decomposition," IEEE Trans. Inf. Theory, vol. 47, no. 7, pp. 2845-2862, 2001. (Pubitemid 33053488)
    • (2001) IEEE Transactions on Information Theory , vol.47 , Issue.7 , pp. 2845-2862
    • Donoho, D.L.1    Huo, X.2
  • 14
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • DOI 10.1109/TIT.2005.858979
    • E. Candes and T. Tao, "Decoding by linear programming," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4203-4215, 2005. (Pubitemid 41800353)
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.12 , pp. 4203-4215
    • Candes, E.J.1    Tao, T.2
  • 15
    • 77955767521 scopus 로고    scopus 로고
    • New bounds for restricted isometry constants
    • T. Cai, L. Wang, and G. Xu, "New bounds for restricted isometry constants," IEEE Trans. Inf. Theory, vol. 56, no. 9, pp. 4388-4394, 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.9 , pp. 4388-4394
    • Cai, T.1    Wang, L.2    Xu, G.3
  • 16
    • 77955735515 scopus 로고    scopus 로고
    • Analysis of orthogonalmatching pursuit using the restricted isometry property
    • M. Davenport and M.Wakin, "Analysis of orthogonalmatching pursuit using the restricted isometry property," IEEE Trans. Inf. Theory, vol. 56, no. 9, pp. 4395-4401, 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.9 , pp. 4395-4401
    • Davenport, M.1    Wakin, M.2
  • 17
    • 84858976300 scopus 로고    scopus 로고
    • The orthogonal super greedy algorithm and applications in compressed sensing
    • E. Liu and V. Temlyakov, "The orthogonal super greedy algorithm and applications in compressed sensing," IEEE Trans. Inf. Theory, vol. 58, no. 4, pp. 2040-2047, 2012.
    • (2012) IEEE Trans. Inf. Theory , vol.58 , Issue.4 , pp. 2040-2047
    • Liu, E.1    Temlyakov, V.2
  • 18
    • 80052353493 scopus 로고    scopus 로고
    • Sparse recovery with orthogonal matching pursuit underrip
    • T. Zhang, "Sparse recovery with orthogonal matching pursuit under rip," IEEE Trans. Inf. Theory, vol. 57, no. 9, pp. 6215-6221, 2011.
    • (2011) IEEE Trans. Inf. Theory , vol.57 , Issue.9 , pp. 6215-6221
    • Zhang, T.1
  • 19
    • 77955735515 scopus 로고    scopus 로고
    • Analysis of orthogonalmatching pursuit using the restricted isometry property
    • M. Davenport and M.Wakin, "Analysis of orthogonalmatching pursuit using the restricted isometry property," IEEE Trans. Inf. Theory, vol. 56, no. 9, pp. 4395-4401, 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.9 , pp. 4395-4401
    • Davenport, M.1    Wakin, M.2
  • 20
    • 84865209376 scopus 로고    scopus 로고
    • On the recovery limit of sparse signals using orthogonal matching pursuit
    • Sept.
    • J. Wang and B. Shim, "On the recovery limit of sparse signals using orthogonal matching pursuit," IEEE Trans. Signal Process., vol. 60, no. 9, pp. 4973-4976, Sept. 2012.
    • (2012) IEEE Trans. Signal Process , vol.60 , Issue.9 , pp. 4973-4976
    • Wang, J.1    Shim, B.2
  • 22
    • 84865219384 scopus 로고    scopus 로고
    • Near optimal bound of orthogonal matching pursuit using restricted isometric constant
    • J. Wang, S. Kwon, and B. Shim, "Near optimal bound of orthogonal matching pursuit using restricted isometric constant," EURASIP J. Adv. Signal Process., vol. 2012, no. 1, p. 8, 2012.
    • (2012) EURASIP J. Adv. Signal Process , vol.2012 , Issue.1 , pp. 8
    • Wang, J.1    Kwon, S.2    Shim, B.3
  • 23
    • 84861351794 scopus 로고    scopus 로고
    • A remark on the restricted isometry property in orthogonal matching pursuit
    • Q. Mo and Y. Shen, "A remark on the restricted isometry property in orthogonal matching pursuit," IEEE Trans. Inf. Theory, vol. 58, no. 6, pp. 3654-3656, 2012.
    • (2012) IEEE Trans. Inf. Theory , vol.58 , Issue.6 , pp. 3654-3656
    • Mo, Q.1    Shen, Y.2
  • 25
    • 84870050604 scopus 로고    scopus 로고
    • Sparse recovery algorithms: Sufficient conditions in terms of restricted isometry constants
    • M. Neamtu and L. Schumaker, Eds. New York: Springer
    • S. Foucart, "Sparse recovery algorithms: Sufficient conditions in terms of restricted isometry constants," in Approximation Theory XIII: San Antonio 2010, ser. Springer Proceedings in Mathematics, M. Neamtu and L. Schumaker, Eds. New York: Springer, 2012, vol. 13, pp. 65-77.
    • (2012) Approximation Theory XIII: San Antonio 2010, Ser. Springer Proceedings in Mathematics , vol.13 , pp. 65-77
    • Foucart, S.1
  • 26
    • 55649115527 scopus 로고    scopus 로고
    • A simple proof of the restricted isometry property for random matrices
    • R. Baraniuk,M.Davenport, R. DeVore, and M.Wakin, "A simple proof of the restricted isometry property for random matrices," Construct. Approx., vol. 28, pp. 253-263, 2008.
    • (2008) Construct. Approx. , vol.28 , pp. 253-263
    • Baraniuk, R.1    Davenport, M.2    Devore, R.3    Wakin, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.