메뉴 건너뛰기




Volumn 61, Issue 13, 2013, Pages 3279-3290

Compressed sensing and affine rank minimization under restricted isometry

Author keywords

Affine rank minimization; compressed sensing; constrained 1 minimization; constrained nuclear norm minimization; Dantzig selector; low rank matrix recovery; restricted isometry; sparse signal recovery

Indexed keywords

DANTZIG SELECTOR; LOW-RANK MATRIX RECOVERIES; NUCLEAR NORM MINIMIZATIONS; RANK MINIMIZATIONS; RESTRICTED ISOMETRIES; SPARSE SIGNAL RECOVERIES;

EID: 84879055175     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2013.2259164     Document Type: Article
Times cited : (75)

References (32)
  • 1
    • 44849094084 scopus 로고    scopus 로고
    • A frame construction and a universal distortion bound for sparse representations
    • DOI 10.1109/TSP.2007.914344
    • M. Akcakaya and V. Tarokh, "A frame construction and a universal distortion bound for sparse representations," IEEE Trans. Signal Process., vol. 56, no. 6, pp. 2443-2450, 2008. (Pubitemid 351795895)
    • (2008) IEEE Transactions on Signal Processing , vol.56 , Issue.6 , pp. 2443-2450
    • Akcakaya, M.1    Tarokh, V.2
  • 3
    • 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. Ap-prox., vol. 28, pp. 253-263, 2008.
    • (2008) Constr. Ap-prox. , vol.28 , pp. 253-263
    • Baraniuk, R.1    Davenport, M.2    Devore, R.3    Wakin, M.4
  • 5
    • 67650122784 scopus 로고    scopus 로고
    • On recovery of sparse signal via minimization
    • T. Cai, G. Xu, and J. Zhang, "On recovery of sparse signal via minimization," IEEE Trans. Inf. Theory, vol. 55, pp. 3388-3397, 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , pp. 3388-3397
    • Cai, T.1    Xu, G.2    Zhang, J.3
  • 6
    • 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, 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , pp. 1300-1308
    • Cai, T.1    Wang, L.2    Xu, G.3
  • 7
    • 77953762405 scopus 로고    scopus 로고
    • Stable recovery of sparse signals and an oracle inequality
    • T. Cai, L. Wang, and G. Xu, "Stable recovery of sparse signals and an oracle inequality," IEEE Trans. Inf. Theory, vol. 56, no. 7, pp. 3516-3522, 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.7 , pp. 3516-3522
    • Cai, T.1    Wang, L.2    Xu, G.3
  • 8
    • 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
  • 9
    • 84877707531 scopus 로고    scopus 로고
    • Sharp RIP bound for sparse signal and low-rank matrix recovery
    • T. Cai and A. Zhang, "Sharp RIP bound for sparse signal and low-rank matrix recovery," Appl. Comput. Harmon. Anal., vol. 35, pp. 74-93, 2013.
    • (2013) Appl. Comput. Harmon. Anal. , vol.35 , pp. 74-93
    • Cai, T.1    Zhang, A.2
  • 10
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • DOI 10.1002/cpa.20124
    • E. Candès, J. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Comm. Pure Appl. Math., vol. 59, pp. 1207-1223, 2006. (Pubitemid 43988295)
    • (2006) Communications on Pure and Applied Mathematics , vol.59 , Issue.8 , pp. 1207-1223
    • Candes, E.J.1    Romberg, J.K.2    Tao, T.3
  • 11
    • 42649140570 scopus 로고    scopus 로고
    • The restricted isometry property and its implications for compressed sensing
    • Serie I
    • E. J. Candès, "The restricted isometry property and its implications for compressed sensing," Compte Rendus de l' Academie des Sci., vol. 346, pp. 589-592, 2008, Serie I.
    • (2008) Compte Rendus de l' Academie des Sci. , vol.346 , pp. 589-592
    • Candès, E.J.1
  • 12
    • 71049116435 scopus 로고    scopus 로고
    • Exact matrix completion via convex optimization
    • E. Candès and B. Recht, "Exact matrix completion via convex optimization," Found. Comput. Math., vol. 9, pp. 717-772, 2009.
    • (2009) Found. Comput. Math. , vol.9 , pp. 717-772
    • Candès, E.1    Recht, B.2
  • 13
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • DOI 10.1109/TIT.2005.858979
    • E. Candès 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
  • 14
    • 34548275795 scopus 로고    scopus 로고
    • The Dantzig selector: Statistical estimation when is much larger than
    • E. Candès and T. Tao, "The Dantzig selector: Statistical estimation when is much larger than," Ann. Statist., vol. 35, pp. 2313-2351, 2007.
    • (2007) Ann. Statist. , vol.35 , pp. 2313-2351
    • Candès, E.1    Tao, T.2
  • 15
    • 79952823272 scopus 로고    scopus 로고
    • Tight oracle for low-rank matrix recovery from a minimal number of random measurements
    • E. Candès and Y. Plan, "Tight oracle for low-rank matrix recovery from a minimal number of random measurements," IEEE Trans. Inf. Theory, vol. 57, no. 4, pp. 2342-2359, 2011.
    • (2011) IEEE Trans. Inf. Theory , vol.57 , Issue.4 , pp. 2342-2359
    • Candès, E.1    Plan, Y.2
  • 16
    • 84864478971 scopus 로고    scopus 로고
    • The pros and cons of compressive sensing for wideband signal acquisition: Noise folding versus dynamic range
    • M. Davenport, J. Laska, J. Treichler, and R. Baraniuk, "The pros and cons of compressive sensing for wideband signal acquisition: Noise folding versus dynamic range," IEEE Trans. Signal Process., vol. 60, no. 9, pp. 4628-4642, 2012.
    • (2012) IEEE Trans. Signal Process. , vol.60 , Issue.9 , pp. 4628-4642
    • Davenport, M.1    Laska, J.2    Treichler, J.3    Baraniuk, R.4
  • 17
    • 84555196779 scopus 로고    scopus 로고
    • Fast and efficient compres-sive sensing using structurally random matrices
    • T. Do, L. Gan, N. Nguyen, and T. Tran, "Fast and efficient compres-sive sensing using structurally random matrices," IEEE Trans. Signal Process., vol. 60, no. 1, pp. 139-154, 2012.
    • (2012) IEEE Trans. Signal Process. , vol.60 , Issue.1 , pp. 139-154
    • Do, T.1    Gan, L.2    Nguyen, N.3    Tran, T.4
  • 18
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.4 , pp. 1289-1306
    • Donoho, D.L.1
  • 19
    • 0035504028 scopus 로고    scopus 로고
    • Uncertainty principles and ideal atomic decomposition
    • DOI 10.1109/18.959265, PII S0018944801089465
    • D. L. 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
  • 20
    • 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. 6, pp. 1341-1344, 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.6 , pp. 1341-1344
    • Fuchs, J.-J.1
  • 21
    • 66849132093 scopus 로고    scopus 로고
    • High-resolution radar via compressed sensing
    • M. Herman and T. Strohmer, "High-resolution radar via compressed sensing," IEEE Trans. Signal Process., vol. 57, no. 6, pp. 2275-2284, 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.6 , pp. 2275-2284
    • Herman, M.1    Strohmer, T.2
  • 23
    • 77955682700 scopus 로고    scopus 로고
    • New restricted isometry results for noisy low-rank recovery
    • K. Mohan and M. Fazel, "New restricted isometry results for noisy low-rank recovery," in Proc. Intl. Symp. Inf. Theory (ISIT), 2010, pp. 1573-1577.
    • (2010) Proc. Intl. Symp. Inf. Theory (ISIT) , pp. 1573-1577
    • Mohan, K.1    Fazel, M.2
  • 26
    • 80052945809 scopus 로고    scopus 로고
    • New bounds on the restricted isometry constant
    • Q. Mo and S. Li, "New bounds on the restricted isometry constant," Appl. Comput. Harmon. Anal., vol. 31, pp. 460-468, 2011.
    • (2011) Appl. Comput. Harmon. Anal. , vol.31 , pp. 460-468
    • Mo, Q.1    Li, S.2
  • 27
    • 78549288866 scopus 로고    scopus 로고
    • Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
    • B. Recht, M. Fazel, and P. Parrilo, "Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization," SIAM Rev., vol. 52, pp. 471-501, 2010.
    • (2010) SIAM Rev. , vol.52 , pp. 471-501
    • Recht, B.1    Fazel, M.2    Parrilo, P.3
  • 29
    • 73849142717 scopus 로고    scopus 로고
    • Beyond Nyquist: Efficient sampling of sparse, bandlimited signals
    • J. Tropp, J. Laska, M. Duarte, J. Romberg, and R. Baraniuk, "Beyond Nyquist: Efficient sampling of sparse, bandlimited signals," IEEE Trans. Inf. Theory, vol. 56, no. 1, pp. 520-544, 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.1 , pp. 520-544
    • Tropp, J.1    Laska, J.2    Duarte, M.3    Romberg, J.4    Baraniuk, R.5
  • 31
    • 84878786681 scopus 로고    scopus 로고
    • The bounds of restricted isometry constants for low rank matrices recovery
    • to be published
    • H. Wang and S. Li, "The bounds of restricted isometry constants for low rank matrices recovery," Sci. China, Ser. A, 2013, to be published.
    • (2013) Sci. China, Ser. A
    • Wang, H.1    Li, S.2
  • 32
    • 84863351496 scopus 로고    scopus 로고
    • Adaptive compressed sensing radar oriented toward cognitive detection in dynamic sparse target scene
    • J. Zhang, D. Zhu, and G. Zhang, "Adaptive compressed sensing radar oriented toward cognitive detection in dynamic sparse target scene," IEEE Trans. Signal Process., vol. 60, no. 4, pp. 1718-1729, 2012.
    • (2012) IEEE Trans. Signal Process. , vol.60 , Issue.4 , pp. 1718-1729
    • Zhang, J.1    Zhu, D.2    Zhang, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.