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Volumn 37, Issue 3, 2012, Pages 441-452

Restricted p-isometry property and its application for nonconvex compressive sensing

Author keywords

Compressed sensing; Instance optimality; l p minimization; Nonlinear approximation; Stability

Indexed keywords


EID: 84866545363     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10444-011-9219-y     Document Type: Article
Times cited : (34)

References (17)
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  • 2
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    • Candès, E. J., Romberg, J., Tao, T.: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory 52, 489-509 (2006).
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    • Candès, E.J.1    Romberg, J.2    Tao, T.3
  • 3
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    • Stable signal recovery from incomplete and inaccurate measurements
    • Candès, E. J., Romberg, J., Tao, T.: Stable signal recovery from incomplete and inaccurate measurements. Commun. Pure Appl. Math. 59, 1207-1223 (2006).
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    • Candès, E.J.1    Romberg, J.2    Tao, T.3
  • 4
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    • Near optimal signal recovery from random projections: universal encoding strategies
    • Candès, E. J., Tao, T.: Near optimal signal recovery from random projections: universal encoding strategies. IEEE Trans. Inf. Theory 52(1), 5406-5425 (2006).
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    • Candès, E.J.1    Tao, T.2
  • 5
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    • Decoding by linear programming
    • Candès, E. J., Tao, T.: Decoding by linear programming. IEEE Trans. Inf. Theory 51, 4203-4215 (2005).
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    • Candès, E.J.1    Tao, T.2
  • 6
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    • Chartrand, R.: Exact reconstruction of sparse signals via nonconvex minimization. IEEE Signal Process. Lett. 14, 707-710 (2007).
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    • Chartrand, R.1
  • 7
    • 44449127493 scopus 로고    scopus 로고
    • Restricted isometry porperties and nonconvex compressive sensing
    • Chartrand, R., Staneva, V.: Restricted isometry porperties and nonconvex compressive sensing. Inverse Problems 24, 1-14 (2009).
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    • Chartrand, R.1    Staneva, V.2
  • 8
    • 57349181932 scopus 로고    scopus 로고
    • Compressed sensing and best k-term approximation
    • Cohen, A., Dahmen, W., DeVore, R.: Compressed sensing and best k-term approximation. J. Am. Math. Soc. 22, 211-245 (2009).
    • (2009) J. Am. Math. Soc. , vol.22 , pp. 211-245
    • Cohen, A.1    Dahmen, W.2    DeVore, R.3
  • 10
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • Donoho, D.: Compressed sensing. IEEE Trans. Inf. Theory 52(4), 1289-1306 (2006).
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    • Donoho, D.1
  • 11
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    • 1-norm solution is also the sparsest solution
    • 1-norm solution is also the sparsest solution. Commun. Pure Appl. Math. 59, 797-829 (2006).
    • (2006) Commun. Pure Appl. Math. , vol.59 , pp. 797-829
    • Donoho, D.1
  • 15
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    • Sparse representations in unions of bases
    • Gribonval, R., Nielsen, M.: Sparse representations in unions of bases. IEEE Trans. Inf. Theory 49, 3320-3325 (2003).
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  • 16
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    • Sparse revovery by non-convex optimization-instance optimality
    • Saab, R., Yi{dotless}lmaz, Ö.: Sparse revovery by non-convex optimization-instance optimality. Appl. Comput. Harmon. Anal. 29, 30-48 (2010).
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    • Stability and instance optimality for Gaussian measurements in compressed sensing
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.