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Volumn 16, Issue 2, 2010, Pages 233-260

Sparsity in time-frequency representations

Author keywords

Basis Pursuit; Operator identification; Random matrices; Sparse representations; Sparse signal recovery; Time frequency representations

Indexed keywords


EID: 77952098309     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-009-9086-9     Document Type: Article
Times cited : (64)

References (38)
  • 1
    • 84939349092 scopus 로고
    • Complex sequences with low periodic correlations
    • Alltop, W. O.: Complex sequences with low periodic correlations. IEEE Trans. Inf. Theory 26(3), 350-354 (1980).
    • (1980) IEEE Trans. Inf. Theory , vol.26 , Issue.3 , pp. 350-354
    • Alltop, W.O.1
  • 2
    • 55649115527 scopus 로고    scopus 로고
    • A simple proof of the restricted isometry property for random matrices
    • Baraniuk, R., Davenport, M., DeVore, R., Wakin, M.: A simple proof of the restricted isometry property for random matrices. Constr. Approx. 28(3), 253-263 (2008).
    • (2008) Constr. Approx. , vol.28 , Issue.3 , pp. 253-263
    • Baraniuk, R.1    Davenport, M.2    Devore, R.3    Wakin, M.4
  • 3
    • 77955326733 scopus 로고
    • Characterization of randomly time-variant linear channels
    • Bello, P.: Characterization of randomly time-variant linear channels. IEEE Trans. Commun. 11, 360-393 (1963).
    • (1963) IEEE Trans. Commun. , vol.11 , pp. 360-393
    • Bello, P.1
  • 5
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • Candès, E., Romberg, J., Tao, T.: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory 52(2), 489-509 (2006).
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.2 , pp. 489-509
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 6
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • Candès, E., Romberg, J., Tao, T.: Stable signal recovery from incomplete and inaccurate measurements. Commun. Pure Appl. Math. 59(8), 1207-1223 (2006).
    • (2006) Commun. Pure Appl. Math. , vol.59 , Issue.8 , pp. 1207-1223
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 7
    • 33947416035 scopus 로고    scopus 로고
    • Near optimal signal recovery from random projections: Universal encoding strategies?
    • Candès, E., Tao, T.: Near optimal signal recovery from random projections: universal encoding strategies? IEEE Trans. Inf. Theory 52(12), 5406-5425 (2006).
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.12 , pp. 5406-5425
    • Candès, E.1    Tao, T.2
  • 8
    • 0032131292 scopus 로고    scopus 로고
    • Atomic decomposition by Basis Pursuit
    • Chen, S., Donoho, D., Saunders, M.: Atomic decomposition by Basis Pursuit. SIAM J. Sci. Comput. 20(1), 33-61 (1999).
    • (1999) SIAM J. Sci. Comput. , vol.20 , Issue.1 , pp. 33-61
    • Chen, S.1    Donoho, D.2    Saunders, M.3
  • 12
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • Donoho, D.: Compressed sensing. IEEE Trans. Inf. Theory 52(4), 1289-1306 (2006).
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.4 , pp. 1289-1306
    • Donoho, D.1
  • 13
    • 55349134896 scopus 로고    scopus 로고
    • 1-norm minimization problems when the solution may be sparse
    • 1-norm minimization problems when the solution may be sparse. IEEE Trans. Inform. Theory 54(11), 4789-4812 (2008).
    • (2008) IEEE Trans. Inform. Theory , vol.54 , Issue.11 , pp. 4789-4812
    • Donoho, D.1    Tsaig, Y.2
  • 14
    • 33144483155 scopus 로고    scopus 로고
    • Stable recovery of sparse overcomplete representations in the presence of noise
    • Donoho, D. L., Elad, M., Temlyakov, V. N.: Stable recovery of sparse overcomplete representations in the presence of noise. IEEE Trans. Inf. Theory 52(1), 6-18 (2006).
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.1 , pp. 6-18
    • Donoho, D.L.1    Elad, M.2    Temlyakov, V.N.3
  • 16
    • 2942640138 scopus 로고    scopus 로고
    • On sparse representations in arbitrary redundant bases
    • Fuchs, J.-J.: On sparse representations in arbitrary redundant bases. IEEE Trans. Inform. Theory 50(6), 1341-1344 (2004).
    • (2004) IEEE Trans. Inform. Theory , vol.50 , Issue.6 , pp. 1341-1344
    • Fuchs, J.-J.1
  • 17
    • 38149062022 scopus 로고    scopus 로고
    • A discrete model for the efficient analysis of time-varying narrowband communication channels
    • Grip, N., Pfander, G. E.: A discrete model for the efficient analysis of time-varying narrowband communication channels. Multidimens. Syst. Signal Process. 19(1), 3-40 (2008).
    • (2008) Multidimens. Syst. Signal Process. , vol.19 , Issue.1 , pp. 3-40
    • Grip, N.1    Pfander, G.E.2
  • 20
    • 66849132093 scopus 로고    scopus 로고
    • High-resolution radar via compressed sensing
    • Herman, M., Strohmer, T.: High-resolution radar via compressed sensing. IEEE Trans. Signal Process. 57(6), 2275-2284 (2009).
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.6 , pp. 2275-2284
    • Herman, M.1    Strohmer, T.2
  • 21
    • 48349105627 scopus 로고    scopus 로고
    • Uncertainty in time-frequency representations on finite Abelian groups and applications
    • Krahmer, F., Pfander, G. E., Rashkov, P.: Uncertainty in time-frequency representations on finite Abelian groups and applications. Appl. Comput. Harmon. Anal. 25(2), 209-225 (2008).
    • (2008) Appl. Comput. Harmon. Anal. , vol.25 , Issue.2 , pp. 209-225
    • Krahmer, F.1    Pfander, G.E.2    Rashkov, P.3
  • 22
    • 57149139112 scopus 로고    scopus 로고
    • Random sampling of sparse trigonometric polynomials. II. Orthogonal matching pursuit versus basis pursuit
    • Kunis, S., Rauhut, H.: Random sampling of sparse trigonometric polynomials. II. Orthogonal matching pursuit versus basis pursuit. Found. Comput. Math. 8(6), 737-763 (2008).
    • (2008) Found. Comput. Math. , vol.8 , Issue.6 , pp. 737-763
    • Kunis, S.1    Rauhut, H.2
  • 23
    • 29644443325 scopus 로고    scopus 로고
    • Linear independence of Gabor systems in finite dimensional vector spaces
    • Lawrence, J., Pfander, G., Walnut, D.: Linear independence of Gabor systems in finite dimensional vector spaces. J. Fourier Anal. Appl. 11(6), 715-726 (2005).
    • (2005) J. Fourier Anal. Appl. , vol.11 , Issue.6 , pp. 715-726
    • Lawrence, J.1    Pfander, G.2    Walnut, D.3
  • 24
    • 0023242207 scopus 로고
    • Channel modeling and threshold signal processing in underwater acoustics: An analytical overview
    • Middleton, D.: Channel modeling and threshold signal processing in underwater acoustics: An analytical overview. IEEE J. Oceanic Eng. 12(1), 4-28 (1987).
    • (1987) IEEE J. Oceanic Eng. , vol.12 , Issue.1 , pp. 4-28
    • Middleton, D.1
  • 26
    • 54949110579 scopus 로고    scopus 로고
    • Identification of matrices having a sparse representation
    • Pfander, G. E., Rauhut, H., Tanner, J.: Identification of matrices having a sparse representation. IEEE Trans. Signal Process. 56(11), 5376-5388 (2008).
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.11 , pp. 5376-5388
    • Pfander, G.E.1    Rauhut, H.2    Tanner, J.3
  • 27
    • 33750997591 scopus 로고    scopus 로고
    • Random sampling of sparse trigonometric polynomials
    • Rauhut, H.: Random sampling of sparse trigonometric polynomials. Appl. Comput. Harmon. Anal. 22(1), 16-42 (2007).
    • (2007) Appl. Comput. Harmon. Anal. , vol.22 , Issue.1 , pp. 16-42
    • Rauhut, H.1
  • 30
    • 52349092455 scopus 로고    scopus 로고
    • On sparse reconstruction from Fourier and Gaussian measurements
    • Rudelson, M., Vershynin, R.: On sparse reconstruction from Fourier and Gaussian measurements. Commun. Pure Appl. Math. 61(8), 1025-1045 (2008).
    • (2008) Commun. Pure Appl. Math. , vol.61 , Issue.8 , pp. 1025-1045
    • Rudelson, M.1    Vershynin, R.2
  • 32
    • 0041064594 scopus 로고    scopus 로고
    • Numerical algorithms for discrete Gabor expansions
    • Applied and Numerical Harmonic Analysis, Boston: Birkhäuser
    • Strohmer, T.: Numerical algorithms for discrete Gabor expansions. In: Gabor Analysis and Algorithms. Applied and Numerical Harmonic Analysis, pp. 267-294. Birkhäuser, Boston (1998).
    • (1998) Gabor Analysis and Algorithms , pp. 267-294
    • Strohmer, T.1
  • 33
    • 0242323185 scopus 로고    scopus 로고
    • Grassmannian frames with applications to coding and communication
    • Strohmer, T., Heath, R. W.: Grassmannian frames with applications to coding and communication. Appl. Comput. Harmon. Anal. 14(3), 257-275 (2003).
    • (2003) Appl. Comput. Harmon. Anal. , vol.14 , Issue.3 , pp. 257-275
    • Strohmer, T.1    Heath, R.W.2
  • 35
    • 5444237123 scopus 로고    scopus 로고
    • Greed is good: Algorithmic results for sparse approximation
    • Tropp, J.: Greed is good: Algorithmic results for sparse approximation. IEEE Trans. Inf. Theory 50(10), 2231-2242 (2004).
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.10 , pp. 2231-2242
    • Tropp, J.1
  • 37
    • 44249104733 scopus 로고    scopus 로고
    • On the conditioning of random subdictionaries
    • Tropp, J. A.: On the conditioning of random subdictionaries. Appl. Comput. Harmon. Anal. 25(1), 1-24 (2008).
    • (2008) Appl. Comput. Harmon. Anal. , vol.25 , Issue.1 , pp. 1-24
    • Tropp, J.A.1
  • 38
    • 64649083745 scopus 로고    scopus 로고
    • Signal recovery from random measurements via orthogonal matching pursuit
    • Tropp, J. A., Gilbert, A. C.: Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans. Inf. Theory 53(12), 4655-4666 (2007).
    • (2007) IEEE Trans. Inf. Theory , vol.53 , Issue.12 , pp. 4655-4666
    • Tropp, J.A.1    Gilbert, A.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.