메뉴 건너뛰기




Volumn 57, Issue 7, 2011, Pages 4660-4671

Sampling and reconstructing signals from a union of linear subspaces

Author keywords

Inverse problems; nonconvexly constrained optimization; sampling; union of subspaces

Indexed keywords

COMPRESSED SENSING; GENERAL APPROACH; INFINITE DIMENSIONAL; LINEAR SUBSPACE; NONCONVEXLY CONSTRAINED OPTIMIZATION; SAMPLING PROCEDURES; STRUCTURED MATRIXES; UNION OF SUBSPACES;

EID: 79959569827     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2011.2146550     Document Type: Article
Times cited : (130)

References (39)
  • 2
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • D. 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.1
  • 3
    • 44849115269 scopus 로고    scopus 로고
    • A theory for sampling signals from a union of subspaces
    • DOI 10.1109/TSP.2007.914346
    • Y. Lu and M. Do, "A theory for sampling signals from a union of subspaces," IEEE Trans. Signal Process., vol. 56, no. 6, pp. 2334-2345, 2008. (Pubitemid 351795887)
    • (2008) IEEE Transactions on Signal Processing , vol.56 , Issue.6 , pp. 2334-2345
    • Lu, Y.M.1    Do, M.N.2
  • 4
    • 64549135334 scopus 로고    scopus 로고
    • Sampling theorems for signals from the union of finite-dimensional subspaces
    • T. Blumensath and M. E. Davies, "Sampling theorems for signals from the union of finite-dimensional subspaces," IEEE Trans. Inf. Theory, vol. 55, no. 4, pp. 1872-1882, 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.4 , pp. 1872-1882
    • Blumensath, T.1    Davies, M.E.2
  • 5
    • 70350743173 scopus 로고    scopus 로고
    • Robust recovery of signals from a structured union of subspaces
    • Y. C. Eldar and M. Mishali, "Robust recovery of signals from a structured union of subspaces," IEEE Trans. Inf. Theory, vol. 55, no. 11, pp. 5302-5316, 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.11 , pp. 5302-5316
    • Eldar, Y.C.1    Mishali, M.2
  • 6
    • 77951180022 scopus 로고    scopus 로고
    • Time-delay estimation from low-rate samples: A union of subspaces approach
    • Jun.
    • K. Gedalyahu and Y. C. Eldar, "Time-delay estimation from low-rate samples: A union of subspaces approach," IEEE Trans. Signal Process., vol. 58, no. 6, pp. 3017-3031, Jun. 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , Issue.6 , pp. 3017-3031
    • Gedalyahu, K.1    Eldar, Y.C.2
  • 7
    • 0027798110 scopus 로고
    • Embedded image coding using the zero-trees of wavelet coefficients
    • Dec.
    • J. M. Shapiro, "Embedded image coding using the zero-trees of wavelet coefficients," IEEE Trans. Image Process., vol. 41, no. 12, pp. 3445-3462, Dec. 1993.
    • (1993) IEEE Trans. Image Process. , vol.41 , Issue.12 , pp. 3445-3462
    • Shapiro, J.M.1
  • 10
    • 77952576986 scopus 로고    scopus 로고
    • Block-sparse signals: Uncertainty relations and efficient recovery
    • June
    • Y. C. Eldar, P. Kuppinger, and H. Bolcskei, "Block-sparse signals: Uncertainty relations and efficient recovery," IEEE Trans. Signal Process., vol. 58, no. 6, pp. 3042-3054, June 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , Issue.6 , pp. 3042-3054
    • Eldar, Y.C.1    Kuppinger, P.2    Bolcskei, H.3
  • 12
    • 23844477225 scopus 로고    scopus 로고
    • Sparse solutions to linear inverse problems with multiple measurement vectors
    • DOI 10.1109/TSP.2005.849172
    • S. F. Cotter, B. D. Rao, K. Engan, and K. K-Delgado, "Sparse solutions to linear inverse problems with multiple measurement vectors," IEEE Trans. Signal Process., vol. 53, no. 7, pp. 2477-2488, 2005. (Pubitemid 41174440)
    • (2005) IEEE Transactions on Signal Processing , vol.53 , Issue.7 , pp. 2477-2488
    • Cotter, S.F.1    Rao, B.D.2    Engan, K.3    Kreutz-Delgado, K.4
  • 13
    • 33947142837 scopus 로고    scopus 로고
    • Theoretical results on sparse representations of multiple-measurement vectors
    • DOI 10.1109/TSP.2006.881263
    • J. Chen and X. Huo, "Theoretical results on sparse representations of multiple-measurement vectors," IEEE Trans. Signal Process., vol. 54, no. 12, pp. 4634-4643, 2006. (Pubitemid 46405606)
    • (2006) IEEE Transactions on Signal Processing , vol.54 , Issue.12 , pp. 4634-4643
    • Chen, J.1    Huo, X.2
  • 14
    • 30844445842 scopus 로고    scopus 로고
    • Algorithms for simultaneous sparse approximation. Part I: Greedy pursuit
    • DOI 10.1016/j.sigpro.2005.05.030, PII S0165168405002227, Sparse Approximations in Signal and Image Processing
    • J. A. Tropp, A. C. Gilbert, and M. J. Strauss, "Algorithms for simultaneous sparse approximation. Part I: Greedy pursuit," Signal Process., vol. 86, pp. 572-588, 2006. (Pubitemid 43106572)
    • (2006) Signal Processing , vol.86 , Issue.3 , pp. 572-588
    • Tropp, J.A.1    Gilbert, A.C.2    Strauss, M.J.3
  • 15
    • 30844461481 scopus 로고    scopus 로고
    • Algorithms for simultaneous sparse approximation. Part II: Convex relaxation
    • DOI 10.1016/j.sigpro.2005.05.031, PII S0165168405002239, Sparse Approximations in Signal and Image Processing
    • J. A. Tropp, "Algorithms for simultaneous sparse approximation. Part II: Convex relaxation," Signal Process., vol. 86, pp. 589-602, 2006. (Pubitemid 43106573)
    • (2006) Signal Processing , vol.86 , Issue.3 , pp. 589-602
    • Tropp, J.A.1
  • 16
    • 57349143370 scopus 로고    scopus 로고
    • Atoms of all channels, unite! Average case analysis of multi-channel sparse recovery using greedy algorithms
    • Oct. [Online]. Available: DOI:10.1007/s00041-008-9044-y
    • K. Schnass, R. Gribonval, H. Rauhut, and P. Vandergheynst, "Atoms of all channels, unite! Average case analysis of multi-channel sparse recovery using greedy algorithms," J. Fourier Anal. Applicat., Oct. 2008 [Online]. Available: DOI:10.1007/s00041-008-9044-y
    • (2008) J. Fourier Anal. Applicat.
    • Schnass, K.1    Gribonval, R.2    Rauhut, H.3    Vandergheynst, P.4
  • 17
    • 43749118418 scopus 로고    scopus 로고
    • Compressed sensing and redundant dictionaries
    • DOI 10.1109/TIT.2008.920190
    • H. Rauhut, K. Schnass, and P. Vandergheynst, "Compressed sensing and redundant dictionaries," IEEE Trans. Inf. Theory, vol. 54, no. 5, pp. 2210-2219, May 2007. (Pubitemid 351689557)
    • (2008) IEEE Transactions on Information Theory , vol.54 , Issue.5 , pp. 2210-2219
    • Rauhut, H.1    Schnass, K.2    Vandergheynst, P.3
  • 19
    • 34249671661 scopus 로고    scopus 로고
    • Analysis versus synthesis in signal priors
    • DOI 10.1088/0266-5611/23/3/007, PII S0266561107384888, 007
    • P. Milanfar, M. Elad, and R. Rubinstein, "Analysis versus synthesis in signal priors," Inv. Probl., vol. 23, pp. 947-968, 2007. (Pubitemid 46838835)
    • (2007) Inverse Problems , vol.23 , Issue.3 , pp. 947-968
    • Elad, M.1    Milanfar, P.2    Rubinstein, R.3
  • 20
    • 0036612082 scopus 로고    scopus 로고
    • Sampling signals with finite rate of innovation
    • DOI 10.1109/TSP.2002.1003065, PII S1053587X02043921
    • M. Vetterli, P. Marziliano, and T. Blu, "Sampling signals with finite rate of innovation," IEEE Trans. Signal Process., vol. 50, no. 6, pp. 1417-1428, 2002. (Pubitemid 34822552)
    • (2002) IEEE Transactions on Signal Processing , vol.50 , Issue.6 , pp. 1417-1428
    • Vetterli, M.1    Marziliano, P.2    Blu, T.3
  • 21
    • 78549288866 scopus 로고    scopus 로고
    • Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
    • B. Recht, M. Fazel, and P.A. Parrilo, "Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization," SIAM Rev., vol. 52, no. 3, pp. 471-501, 2010.
    • (2010) SIAM Rev. , vol.52 , Issue.3 , pp. 471-501
    • Recht, B.1    Fazel, M.2    Parrilo, P.A.3
  • 22
    • 77949662812 scopus 로고    scopus 로고
    • From theory to practice: Sub-Nyquist sampling of sparse wideband analog signals
    • Y. C. Eldar and M. Mishali, "From theory to practice: Sub-Nyquist sampling of sparse wideband analog signals," IEEE J. Sel. Topics Signal Process., vol. 4, no. 2, pp. 375-391, 2010.
    • (2010) IEEE J. Sel. Topics Signal Process. , vol.4 , Issue.2 , pp. 375-391
    • Eldar, Y.C.1    Mishali, M.2
  • 24
    • 69949164527 scopus 로고    scopus 로고
    • Iterative hard thresholding for compressed sensing
    • T. Blumensath and M. Davies, "Iterative hard thresholding for compressed sensing," Appl. Comput. Harmon. Anal., vol. 27, no. 3, pp. 265-274, 2009.
    • (2009) Appl. Comput. Harmon. Anal. , vol.27 , Issue.3 , pp. 265-274
    • Blumensath, T.1    Davies, M.2
  • 26
    • 57349145416 scopus 로고    scopus 로고
    • Iterative thresholding for sparse approximations
    • T. Blumensath and M. E. Davies, "Iterative thresholding for sparse approximations," J. Fourier Anal. Applicat., vol. 14, no. 5, pp. 629-654, 2008.
    • (2008) J. Fourier Anal. Applicat. , vol.14 , Issue.5 , pp. 629-654
    • Blumensath, T.1    Davies, M.E.2
  • 28
    • 71149117997 scopus 로고    scopus 로고
    • Gradient descend with sparsification: An iterative algorithm for sparse recovery with restricted isometry property
    • R. Garg and R. Khandekar, "Gradient descend with sparsification: An iterative algorithm for sparse recovery with restricted isometry property," in Proc. 26th Annu. Int. Conf. Machine Learning, 2009, pp. 337-344.
    • (2009) Proc. 26th Annu. Int. Conf. Machine Learning , pp. 337-344
    • Garg, R.1    Khandekar, R.2
  • 32
    • 33947416035 scopus 로고    scopus 로고
    • Near-optimal signal recovery from random projections: Universal encoding strategies?
    • DOI 10.1109/TIT.2006.885507
    • E. Candès and T. Tao, "Near optimal signal recovery from random projections: Universal encoding strategies?," IEEE Trans. Inf. Theory, vol. 52, no. 12, pp. 5406-5425, 2006. (Pubitemid 46445381)
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.12 , pp. 5406-5425
    • Candes, E.J.1    Tao, T.2
  • 37
    • 61549103040 scopus 로고    scopus 로고
    • Blind multi-band signal reconstruction: Compressed sensing for analog signals
    • M. Mishali and Y. C. Eldar, "Blind multi-band signal reconstruction: Compressed sensing for analog signals," IEEE Trans. Signal Process., vol. 57, no. 3, pp. 993-1009, 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.3 , pp. 993-1009
    • Mishali, M.1    Eldar, Y.C.2
  • 39
    • 34247887411 scopus 로고    scopus 로고
    • Sampling moments and reconstructing signals of finite rate of innovation: Shannon meets strang-fix
    • DOI 10.1109/TSP.2006.890907
    • P. L. Dragotti, M. Vetterli, and T. Blu, "Sampling moments and reconstructing signals of finite rate of innovation: Shannon meets StrangFix," IEEE Trans. Signal Process., vol. 55, no. 5, pp. 1741-1757, May 2007. (Pubitemid 46691625)
    • (2007) IEEE Transactions on Signal Processing , vol.55 , Issue.5 , pp. 1741-1757
    • Dragotti, P.L.1    Vetterli, M.2    Blu, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.