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Volumn 58, Issue 1, 2012, Pages 278-301

Compressive MUSIC: Revisiting the link between compressive sensing and array signal processing

Author keywords

Compressive sensing; joint sparsity; multiple measurement vector problem; MUSIC; S OMP; thresholding

Indexed keywords

COMPRESSIVE SENSING; JOINT SPARSITY; MULTIPLE MEASUREMENT VECTORS; MUSIC; S-OMP; THRESHOLDING;

EID: 84862908415     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2011.2171529     Document Type: Article
Times cited : (248)

References (55)
  • 1
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • Apr.
    • D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, Apr. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.4 , pp. 1289-1306
    • Donoho, D.L.1
  • 2
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • DOI 10.1109/TIT.2005.862083
    • E. Candès, 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
  • 3
    • 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, Dec. 2005. (Pubitemid 41800353)
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.12 , pp. 4203-4215
    • Candes, E.J.1    Tao, T.2
  • 4
    • 34248999153 scopus 로고    scopus 로고
    • Improved k-t BLAST and k-t SENSE using FOCUSS
    • DOI 10.1088/0031-9155/52/11/018, PII S0031915507351622, 018
    • H. Jung, J. C.Ye, and E. Y.Kim, "Improved k-t BLAST and k-t SENSE using FOCUSS," Phys. in Med. and Biol., vol. 52, pp. 3201-3226, 2007. (Pubitemid 46795256)
    • (2007) Physics in Medicine and Biology , vol.52 , Issue.11 , pp. 3201-3226
    • Jung, H.1    Ye, J.C.2    Kim, E.Y.3
  • 5
    • 34248396720 scopus 로고    scopus 로고
    • Projection reconstruction MR imaging using FOCUSS
    • DOI 10.1002/mrm.21202
    • J. C. Ye, S. Tak, Y. Han, and H. W. Park, "Projection reconstruction MR imaging using FOCUSS,"Magn. Res. in Med., vol. 57, no. 4, pp. 764-775, 2007. (Pubitemid 46731802)
    • (2007) Magnetic Resonance in Medicine , vol.57 , Issue.4 , pp. 764-775
    • Jong, C.Y.1    Tak, S.2    Han, Y.3    Hyun, W.P.4
  • 6
    • 60349105482 scopus 로고    scopus 로고
    • K-t FOCUSS: A general compressed sensing framework for high resolution dynamic MRI
    • H. Jung,K. Sung, K. S. Nayak, E.Y.Kim, and J.C.Ye, "k-t FOCUSS: A general compressed sensing framework for high resolution dynamic MRI," Magn. Res. in Med., vol. 61, no. 1, pp. 103-116, 2009.
    • (2009) Magn. Res. in Med. , vol.61 , Issue.1 , pp. 103-116
    • Jung, K.1    Sung, H.2    Nayak, K.S.3    Kim, E.Y.4    Ye, J.C.5
  • 7
    • 38849164794 scopus 로고    scopus 로고
    • Prior image constrained compressed sensing (PICCS): A method to accurately reconstruct dynamic CT images from highly undersampled projection data sets
    • G. H. Chen, J. Tang, and S. Leng, "Prior image constrained compressed sensing (PICCS): A method to accurately reconstruct dynamic CT images from highly undersampled projection data sets," Med. Phys., vol. 35, p. 660, 2008
    • (2008) Med. Phys. , vol.35 , pp. 660
    • Chen, G.H.1    Tang, J.2    Leng, S.3
  • 8
    • 0036493737 scopus 로고    scopus 로고
    • Sparse channel estimation via matching pursuit with application to equalization
    • DOI 10.1109/26.990897, PII S0090677802020226
    • S. F. Cotter and B. D. Rao, "Sparse channel estimation via matching pursuit with application to equalization," IEEE Trans. Commun., vol. 50, no. 3, pp. 374-377, Mar. 2002. (Pubitemid 34531566)
    • (2002) IEEE Transactions on Communications , vol.50 , Issue.3 , pp. 374-377
    • Cotter, S.F.1    Rao, B.D.2
  • 9
    • 0036493737 scopus 로고    scopus 로고
    • Sparse channel estimation via matching pursuit with application to equalization
    • DOI 10.1109/26.990897, PII S0090677802020226
    • S. F. Cotter and B. D. Rao, "Sparse channel estimation via matching pursuit with application to equalization," IEEE Trans. Commun., vol. 50, no. , pp. 374-377, 2002. (Pubitemid 34531566)
    • (2002) IEEE Transactions on Communications , vol.50 , Issue.3 , pp. 374-377
    • Cotter, S.F.1    Rao, B.D.2
  • 10
    • 47849083178 scopus 로고    scopus 로고
    • Single disperser design for coded aperture snapshot spectral imaging
    • A. Wagadarikar, R. John, R. Willett, and D. Brady, "Single disperser design for coded aperture snapshot spectral imaging," Appl. Opt., vol. 47, no. 10, pp. 44-51, 2008.
    • (2008) Appl. Opt. , vol.47 , Issue.10 , pp. 44-51
    • Wagadarikar, A.1    John, R.2    Willett, R.3    Brady, D.4
  • 11
    • 33645712308 scopus 로고    scopus 로고
    • Just relax: Convex programming methods for identifying sparse signals in noise
    • DOI 10.1109/TIT.2005.864420
    • J. A. Tropp, "Just Relax: Convex programmingmethods for identifying sparse signals in noise," IEEE Trans. Inf. Theory, vol. 52, no. 3, pp. 1030-1051, Mar. 2006. (Pubitemid 46444890)
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.3 , pp. 1030-1051
    • Tropp, J.A.1
  • 12
    • 0031102203 scopus 로고    scopus 로고
    • Sparse signal reconstruction from limited data using FOCUSS: A re-weighted minimum norm algorithm
    • I. F. Gorodnitsky and B. D. Rao, "Sparse signal reconstruction from limited data using FOCUSS: Re-weighted minimum norm algorithm," IEEE Trans. Signal Process., vol. 45, no. 3, pp. 600-616, Mar. 1997. (Pubitemid 127765947)
    • (1997) IEEE Transactions on Signal Processing , vol.45 , Issue.3 , pp. 600-616
    • Gorodnitsky, I.F.1    Rao, B.D.2
  • 13
    • 57349174008 scopus 로고    scopus 로고
    • Enhancing sparsity by reweighted minimization
    • E. J. Candès, M. B. Wakin, and S. P. Boyd, "Enhancing sparsity by reweighted minimization," J. Fourier Anal. and Applic., vol. 14, no. 5, pp. 877-905, 2008.
    • (2008) J. Fourier Anal. and Applic. , vol.14 , Issue.5 , pp. 877-905
    • Candès, E.J.1    Wakin, M.B.2    Boyd, S.P.3
  • 15
    • 44849087307 scopus 로고    scopus 로고
    • Bayesian compressive sensing
    • DOI 10.1109/TSP.2007.914345
    • S. Ji, Y. Xue, and L. Carin, "Bayesian compressive sensing," IEEE Trans. Signal Process., vol. 56, no. 6, pp. 2346-2356, Jun. 2008. (Pubitemid 351795888)
    • (2008) IEEE Transactions on Signal Processing , vol.56 , Issue.6 , pp. 2346-2356
    • Ji, S.1    Xue, Y.2    Carin, L.3
  • 16
    • 3543103176 scopus 로고    scopus 로고
    • Sparse Bayesian learning for basis selection
    • D. P. Wipf and B. D. Rao, "Sparse Bayesian learning for basis selection," IEEE Trans. Signal Process., vol. 52, no. 8, pp. 2153-2164, 2004.
    • (2004) IEEE Trans. Signal Process. , vol.52 , Issue.8 , pp. 2153-2164
    • Wipf, D.P.1    Rao, B.D.2
  • 17
    • 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
  • 18
    • 23844477225 scopus 로고    scopus 로고
    • Sparse solutions to linear inverse problems with multiple measurement vectors
    • S. F. Cotter, B. D. Rao, K. Engan, and K. Kreutz-Delgado, "Sparse solutions to linear inverse problems with multiple measurement vectors," IEEE Trans. Signal Process., vol. 53, no. 7, p. 2477, 2005.
    • (2005) IEEE Trans. Signal Process. , vol.53 , Issue.7 , pp. 2477
    • Cotter, S.F.1    Rao, B.D.2    Engan, K.3    Kreutz-Delgado, K.4
  • 19
    • 53149111169 scopus 로고    scopus 로고
    • Reduce and boost: Recovering arbitrary sets of jointly sparse vectors
    • Oct.
    • M. Mishali and Y. C. Eldar, "Reduce and boost: Recovering arbitrary sets of jointly sparse vectors," IEEE Trans. Signal Process., vol. 56, no. 10, pp. 4692-4702, Oct. 2008.
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.10 , pp. 4692-4702
    • Mishali, M.1    Eldar, Y.C.2
  • 20
    • 77951546345 scopus 로고    scopus 로고
    • Theoretical and empirical results for recovery from multiple measurements
    • May
    • E. Berg and M. P. Friedlander, "Theoretical and empirical results for recovery from multiple measurements," IEEE Trans. Inf. Theory, vol. 56, no. 5, pp. 2516-2527, May 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.5 , pp. 2516-2527
    • Berg, E.1    Friedlander, M.P.2
  • 22
    • 0030193445 scopus 로고    scopus 로고
    • Two decades of array signal processing research: The parametric approach
    • H. Krim and M. Viberg, "Two decades of array signal processing research: the parametric approach," IEEE Signal Process. Mag., vol. 13, no. 4, pp. 67-94, 1996. (Pubitemid 126518980)
    • (1996) IEEE Signal Processing Magazine , vol.13 , Issue.4 , pp. 67-94
    • Krim, H.1    Viberg, M.2
  • 23
    • 0032712873 scopus 로고    scopus 로고
    • SENSE: Sensitivity encoding for fast MRI
    • DOI 10.1002/(SICI)1522-2594(199911)42:5<952::AID-MRM16>3.0.CO;2-S
    • K. P. Pruessmann, M. Weiger, M. B. Scheidegger, and P. Boesiger, "SENSE: Sensitivity encoding for fast MRI,"Magn. Res. in Med., vol. 42, no. 5, pp. 952-962, 1999. (Pubitemid 29521486)
    • (1999) Magnetic Resonance in Medicine , vol.42 , Issue.5 , pp. 952-962
    • Pruessmann, K.P.1    Weiger, M.2    Scheidegger, M.B.3    Boesiger, P.4
  • 24
    • 33646464237 scopus 로고    scopus 로고
    • Fully adaptive FEM based fluorescence optical tomography from time-dependent measurements with area illumination and detection
    • A. Joshi, W. Bangerth, K. Hwang, J. C. Rasmussen, and E. M. Sevick- Muraca, "Fully adaptive FEM based fluorescence optical tomography from time-dependent measurements with area illumination and detection," Med. Phys., vol. 33, p. 1299, 2006.
    • (2006) Med. Phys. , vol.33 , pp. 299
    • Joshi, A.1    Bangerth, W.2    Hwang, K.3    Rasmussen, J.C.4    Sevick- Muraca, E.M.5
  • 25
    • 79955634911 scopus 로고    scopus 로고
    • Compressive diffuse optical tomography: Non-iterative exact reconstruction using joint sparsity
    • O. Lee, J. M. Kim, Y. Bresler, and J. C. Ye, "Compressive diffuse optical tomography: Non-iterative exact reconstruction using joint sparsity," IEEE Trans. Med. Imag., vol. 30, no. 5, pp. 1129-1142, 2011.
    • (2011) IEEE Trans. Med. Imag. , vol.30 , Issue.5 , pp. 1129-1142
    • Lee, O.1    Kim, J.M.2    Bresler, Y.3    Ye, J.C.4
  • 26
    • 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 Proces., vol. 86, no. 3, 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
  • 27
    • 25444450079 scopus 로고    scopus 로고
    • A sparse signal reconstruction perspective for source localization with sensor arrays
    • DOI 10.1109/TSP.2005.850882
    • D. Malioutov, M. Cetin, and A. S. Willsky, "A sparse signal reconstruction perspective for source localization with sensor arrays," IEEE Trans. Signal Process., vol. 53, no. 8, pp. 3010-3022, 2005. (Pubitemid 41372811)
    • (2005) IEEE Transactions on Signal Processing , vol.53 , Issue.8 , pp. 3010-3022
    • Malioutov, D.1    Cetin, M.2    Willsky, A.S.3
  • 28
    • 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, no. 3, pp. 589-602, 2006. (Pubitemid 43106573)
    • (2006) Signal Processing , vol.86 , Issue.3 , pp. 589-602
    • Tropp, J.A.1
  • 30
    • 77952576986 scopus 로고    scopus 로고
    • Compressed sensing of block-sparse signals: Uncertainty relations and efficient recovery
    • Y. C. Eldar, P. Kuppinger, and H. Bolcskei, "Compressed sensing of block-sparse signals: Uncertainty relations and efficient recovery," IEEE Trans. Signal Process., vol. 58, no. 6, pp. 3042-3054, 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , Issue.6 , pp. 3042-3054
    • Eldar, Y.C.1    Kuppinger, P.2    Bolcskei, H.3
  • 34
    • 0022683359 scopus 로고
    • Multiple emitter location and signal parameter estimation
    • R. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag., vol. 34, no. 3, pp. 276-280, 1986. (Pubitemid 16613653)
    • (1986) IEEE Transactions on Antennas and Propagation , vol.AP-34 , Issue.3 , pp. 276-280
    • Schmidt Ralph, O.1
  • 35
    • 0024663112 scopus 로고
    • MUSIC, maximum likelihood, and Cramér-Rao bound
    • May
    • P. Stoica and A. Nehorai, "MUSIC, maximum likelihood, and Cramér-Rao bound," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 5, pp. 720-741, May 1989.
    • (1989) IEEE Trans. Acoust., Speech, Signal Process. , vol.37 , Issue.5 , pp. 720-741
    • Stoica, P.1    Nehorai, A.2
  • 37
    • 57349143370 scopus 로고    scopus 로고
    • Atoms of all channels, unite! Average case analysis of multi-channel sparse recovery using greedy algorithms
    • R. Gribonval, H. Rauhut, K. Schnass, and P. Vandergheynst, "Atoms of all channels, unite! Average case analysis of multi-channel sparse recovery using greedy algorithms," J. Fourier Anal. and Applic., vol. 14, no. 5, pp. 655-687, 2008.
    • (2008) J. Fourier Anal. and Applic. , vol.14 , Issue.5 , pp. 655-687
    • Gribonval, R.1    Rauhut, H.2    Schnass, K.3    Vandergheynst, P.4
  • 38
    • 5444237123 scopus 로고    scopus 로고
    • Greed is good: Algorithmic results for sparse approximation
    • Oct.
    • J. A. Tropp, "Greed is good: Algorithmic results for sparse approximation," IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2231-2242, Oct. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.10 , pp. 2231-2242
    • Tropp, J.A.1
  • 39
    • 73849109362 scopus 로고    scopus 로고
    • Average case analysis of multichannel sparse recovery using convex relaxation
    • Jan.
    • Y. C. Eldar and H. Rauhut, "Average case analysis of multichannel sparse recovery using convex relaxation," IEEE Trans. Inf. Theory, vol. 56, no. 1, pp. 505-519, Jan. 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.1 , pp. 505-519
    • Eldar, Y.C.1    Rauhut, H.2
  • 40
    • 46249088758 scopus 로고    scopus 로고
    • Consistency of the group Lasso and multiple kernel learning
    • F. R. Bach, "Consistency of the group Lasso and multiple kernel learning," J. Mach. Learn. Res., vol. 9, pp. 1179-1225, 2008.
    • (2008) J. Mach. Learn. Res. , vol.9 , pp. 1179-1225
    • Bach, F.R.1
  • 41
    • 34347400802 scopus 로고    scopus 로고
    • An empirical Bayesian strategy for solving the simultaneous sparse approximation problem
    • DOI 10.1109/TSP.2007.894265
    • D. P.Wipf and B. D. Rao, "An empirical Bayesian strategy for solving the simultaneous sparse approximation problem," IEEE Trans. Signal Process., vol. 55, no. 7, pt. 2, pp. 3704-3716, Jul. 2007. (Pubitemid 47018850)
    • (2007) IEEE Transactions on Signal Processing , vol.55 , Issue.7 , pp. 3704-3716
    • Wipf, D.P.1    Rao, B.D.2
  • 42
    • 0026221403 scopus 로고
    • Direction finding algorithms based on high-order statistics
    • DOI 10.1109/78.134434
    • B. Porat and B. Friedlander, "Direction finding algorithms based on high-order statistics," IEEE Trans. Signal Process., vol. 39, no. 9, pp. 2016-2024, Sep. 1991. (Pubitemid 21690098)
    • (1991) IEEE Transactions on Signal Processing , vol.39 , Issue.9 , pp. 2016-2024
    • Porat Boaz1    Friedlander Benjamin2
  • 44
    • 0031232915 scopus 로고    scopus 로고
    • Applications of cumulants to array processing. IV. Direction finding in coherent signals case
    • Sep.
    • E. Gonen, J. M. Mendel, and M. C. Dogan, "Applications of cumulants to array processing. IV. Direction finding in coherent signals case," IEEE Trans. Signal Process., vol. 45, no. 9, pp. 2265-2276, Sep. 1997.
    • (1997) IEEE Trans. Signal Process. , vol.45 , Issue.9 , pp. 2265-2276
    • Gonen, E.1    Mendel, J.M.2    Dogan, M.C.3
  • 45
    • 0029185336 scopus 로고
    • Asymptotic performance analysis of direction-finding algorithms based on fourth-order cumulants
    • Jan.
    • J. F. Cardoso and E. Moulines, "Asymptotic performance analysis of direction-finding algorithms based on fourth-order cumulants," IEEE Trans. Signal Process., vol. 43, no. 1, pp. 214-224, Jan. 1995.
    • (1995) IEEE Trans. Signal Process. , vol.43 , Issue.1 , pp. 214-224
    • Cardoso, J.F.1    Moulines, E.2
  • 46
    • 70449505052 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for sparsity pattern recovery
    • Dec.
    • A. K. Fletcher, S. Rangan, and V. K. Goyal, "Necessary and sufficient conditions for sparsity pattern recovery," IEEE Trans. Inf. Theory, vol. 55, no. 12, pp. 5758-5772, Dec. 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.12 , pp. 5758-5772
    • Fletcher, A.K.1    Rangan, S.2    Goyal, V.K.3
  • 50
    • 0015648934 scopus 로고
    • Noiseless coding of correlated information sources
    • D. Slepian and J. Wolf, "Noiseless coding of correlated information sources," IEEE Trans. Inf. Theory, vol. 19, no. 4, pp. 471-480, 1973.
    • (1973) IEEE Trans. Inf. Theory , vol.19 , Issue.4 , pp. 471-480
    • Slepian, D.1    Wolf, J.2
  • 52
    • 77949499138 scopus 로고    scopus 로고
    • Performance analysis for sparse support recovery
    • Mar.
    • G. Tang and A. Nehorai, "Performance analysis for sparse support recovery," IEEE Trans. Inf. Theory, vol. 56, no. 3, pp. 1383-1399, Mar. 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.3 , pp. 1383-1399
    • Tang, G.1    Nehorai, A.2
  • 53
    • 70449507802 scopus 로고    scopus 로고
    • Modified-CS:Modifying compressive sensing for problems with partially known support
    • Seoul, Korea
    • N.Vaswani and W. Lu, "Modified-CS:Modifying compressive sensing for problems with partially known support," in Proc. IEEE Int. Symp. Inform. Theory (ISIT), Seoul, Korea, 2009.
    • (2009) Proc. IEEE Int. Symp. Inform. Theory (ISIT)
    • Vaswani, N.1    Lu, W.2
  • 54
    • 0000263234 scopus 로고
    • Distribution of eigenvalues for some sets of random matrices
    • V. A.Mar?enko andL. A. Pastur, "Distribution of eigenvalues for some sets of random matrices," Sbornik: Math., vol. 1, no. 4, pp. 457-483, 1967.
    • (1967) Sbornik: Math. , vol.1 , Issue.4 , pp. 457-483
    • Marenko, V.A.1    Pastur, L.A.2
  • 55
    • 52949144957 scopus 로고    scopus 로고
    • Spectrum-blind sampling and compressive sensing for continuous-index signals
    • Y. Bresler, "Spectrum-blind sampling and compressive sensing for continuous-index signals," Proc. IEEE Information Theory and Applications Workshop, pp. 547-554, 2008.
    • (2008) Proc. IEEE Information Theory and Applications Workshop , pp. 547-554
    • Bresler, Y.1


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