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Volumn 56, Issue 7, 2010, Pages 3516-3522

Stable recovery of sparse signals and an oracle inequality

Author keywords

1 minimization; Compressed sensing; Mutual incoherence; Oracle inequality; Sparse recovery

Indexed keywords

COMPRESSED SENSING; GAUSSIAN NOISE; SPARSE RECOVERY; SPARSE SIGNALS;

EID: 77953762405     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2010.2048506     Document Type: Article
Times cited : (143)

References (20)
  • 1
    • 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," Constr. Approx., vol.28, no.2008, pp. 253-263.
    • Constr. Approx. , vol.28 , Issue.2008 , pp. 253-263
    • Baraniuk, R.1    Davenport, M.2    De Vore, R.3    Wakin, M.4
  • 2
    • 77955509952 scopus 로고    scopus 로고
    • Shifting inequality and recovery of sparse signals
    • T. Cai, L.Wang, and G. Xu, "Shifting inequality and recovery of sparse signals," IEEE Trans. Signal Process., vol.58, pp. 1300-1308.
    • IEEE Trans. Signal Process. , vol.58 , pp. 1300-1308
    • Cai, T.1    Wang, L.2    Xu, G.3
  • 4
    • 42649140570 scopus 로고    scopus 로고
    • The restricted isometry property and its implications for compressed sensing
    • Paris, ser. I
    • E. J. Candès, "The restricted isometry property and its implications for compressed sensing," Compte Rendus de l' Acad. Sci., Paris, ser. I, vol.346, no.2008, pp. 589-592.
    • Compte Rendus de l' Acad. Sci. , vol.346 , Issue.2008 , pp. 589-592
    • Candès, E.J.1
  • 5
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • E. J. Candès, J. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Commun. Pure Appl. Math., vol.59, no.2006, pp. 1207-1223.
    • Commun. Pure Appl. Math. , vol.59 , Issue.2006 , pp. 1207-1223
    • Candès, E.J.1    Romberg, J.2    Tao, T.3
  • 6
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • E. J. Candès and T. Tao, "Decoding by linear programming," IEEE Trans. Inf. Theory, vol.51, no.2005, pp. 4203-4215.
    • IEEE Trans. Inf. Theory , vol.51 , Issue.2005 , pp. 4203-4215
    • Candès, E.J.1    Tao, T.2
  • 7
    • 34548275795 scopus 로고    scopus 로고
    • The Dantzig selector: Statistical estimation when p is much larger than n (with discussion)
    • E. J. Candès and T. Tao, "The Dantzig selector: Statistical estimation when p is much larger than n (with discussion)," Ann. Statist., vol.35, no.2007, pp. 2313-2351.
    • Ann. Statist. , vol.35 , Issue.2007 , pp. 2313-2351
    • Candès, E.J.1    Tao, T.2
  • 9
    • 33144483155 scopus 로고    scopus 로고
    • Stable recovery of sparse overcomplete representations in the presence of noise
    • D. L. Donoho, M. Elad, and V. N. Temlyakov, "Stable recovery of sparse overcomplete representations in the presence of noise," IEEE Trans. Inf. Theory, vol.52, no.2006, pp. 6-18.
    • IEEE Trans. Inf. Theory , vol.52 , Issue.2006 , pp. 6-18
    • Donoho, D.L.1    Elad, M.2    Temlyakov, V.N.3
  • 10
    • 0035504028 scopus 로고    scopus 로고
    • Uncertainty principles and ideal atomic decomposition
    • D. L. Donoho and X. Huo, "Uncertainty principles and ideal atomic decomposition," IEEE Trans. Inf. Theory, vol.47, no.2001, pp. 2845-2862.
    • IEEE Trans. Inf. Theory , vol.47 , Issue.2001 , pp. 2845-2862
    • Donoho, D.L.1    Huo, X.2
  • 11
    • 0041958932 scopus 로고    scopus 로고
    • Ideal spatial adaptation by wavelet shrinkage
    • D. L. Donoho and I. M. Johnstone, "Ideal spatial adaptation by wavelet shrinkage," Biometrika, vol.81, no.1994, pp. 425-455.
    • Biometrika , vol.81 , Issue.1994 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 12
    • 22144471532 scopus 로고    scopus 로고
    • Neighborliness of randomly projected simplices in high dimensions
    • D. L. Donoho and J. Tanner, "Neighborliness of randomly projected simplices in high dimensions," Proc. Nat. Acad. Sci., vol.102, no.27, pp. 9452-9457.
    • Proc. Nat. Acad. Sci. , vol.102 , Issue.27 , pp. 9452-9457
    • Donoho, D.L.1    Tanner, J.2
  • 14
    • 2942640138 scopus 로고    scopus 로고
    • On sparse representations in arbitrary redundant bases
    • J.-J. Fuchs, "On sparse representations in arbitrary redundant bases," IEEE Trans. Inf. Theory, vol.50, no.2004, pp. 1341-1344.
    • IEEE Trans. Inf. Theory , vol.50 , Issue.2004 , pp. 1341-1344
    • Fuchs, J.-J.1
  • 15
    • 26844461512 scopus 로고    scopus 로고
    • Recovery of exact sparse representations in the presence of bounded noise
    • J.-J. Fuchs, "Recovery of exact sparse representations in the presence of bounded noise," IEEE Trans. Inf. Theory, vol.51, no.2005, pp. 3601-3608.
    • IEEE Trans. Inf. Theory , vol.51 , Issue.2005 , pp. 3601-3608
    • Fuchs, J.-J.1
  • 16
    • 0347968052 scopus 로고    scopus 로고
    • Sparse representations in unions of bases
    • R. Gribonval and M. Nielsen, "Sparse representations in unions of bases," IEEE Trans. Inf. Theory, vol.49, no.2003, pp. 3320-3325.
    • IEEE Trans. Inf. Theory , vol.49 , Issue.2003 , pp. 3320-3325
    • Gribonval, R.1    Nielsen, M.2
  • 18
    • 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.2004, pp. 2231-2242.
    • IEEE Trans. Inf. Theory , vol.50 , Issue.2004 , pp. 2231-2242
    • Tropp, J.1
  • 19
    • 61349087401 scopus 로고    scopus 로고
    • Further results on a stable recovery of sparse overcomplete representations in the presence of noise
    • P. Tseng, "Further results on a stable recovery of sparse overcomplete representations in the presence of noise," IEEE Trans. Inf. Theory, vol.55, no.2009, pp. 888-899.
    • IEEE Trans. Inf. Theory , vol.55 , Issue.2009 , pp. 888-899
    • Tseng, P.1
  • 20
    • 64549099406 scopus 로고    scopus 로고
    • Compressive sensing over the Grassmann manifold: A unified analytical approach
    • Sep.
    • W. Xu and B. Hassibi, "Compressive sensing over the Grassmann manifold: A unified analytical approach," in Proc. Allerton Conf. Commun., Contr. Comput., Sep. 2008, pp. 562-567.
    • (2008) Proc. Allerton Conf. Commun., Contr. Comput. , pp. 562-567
    • Xu, W.1    Hassibi, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.