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Volumn 8138, Issue , 2011, Pages

Deterministic matrices with the restricted isometry property

Author keywords

compressed sensing; deterministic constructions; restricted isometry property

Indexed keywords

COMPRESSED SENSING; DETERMINISTIC CONSTRUCTIONS; HIGH PROBABILITY; RESTRICTED ISOMETRY PROPERTY; STATE OF THE ART;

EID: 80055039365     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.895080     Document Type: Conference Paper
Times cited : (4)

References (15)
  • 1
    • 59649115633 scopus 로고    scopus 로고
    • Chirp sensing codes: Deterministic compressed sensing measurements for fast recovery
    • L. Applebaum, S.D. Howard, S. Searle and R. Calderbank, Chirp sensing codes: Deterministic compressed sensing measurements for fast recovery, Appl. Comp. Harmon. Anal. 26 (2009) 283-290.
    • (2009) Appl. Comp. Harmon. Anal. , vol.26 , pp. 283-290
    • Applebaum, L.1    Howard, S.D.2    Searle, S.3    Calderbank, R.4
  • 2
    • 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. Approx. 28 (2008) 253-263.
    • (2008) Constr. Approx. , vol.28 , pp. 253-263
    • Baraniuk, R.1    Davenport, M.2    DeVore, R.3    Wakin, M.4
  • 4
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • DOI 10.1109/TIT.2005.858979
    • E.J. Candès and T. Tao, Decoding by linear programming, IEEE Trans. Inform. Theory 44 (2005) 4203-4215. (Pubitemid 41800353)
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.12 , pp. 4203-4215
    • Candes, E.J.1    Tao, T.2
  • 6
    • 36248929865 scopus 로고    scopus 로고
    • Deterministic constructions of compressed sensing matrices
    • DOI 10.1016/j.jco.2007.04.002, PII S0885064X07000623
    • R.A. DeVore, Deterministic constructions of compressed sensing matrices, J. Complexity 23 (2007) 918-925. (Pubitemid 350122965)
    • (2007) Journal of Complexity , vol.23 , Issue.4-6 , pp. 918-925
    • DeVore, R.A.1
  • 9
    • 0001197443 scopus 로고
    • Über die Abgrenzung der Eigenwerte einer Matrix
    • S. Gerschgorin, Über die Abgrenzung der Eigenwerte einer Matrix, Izv. Akad. Nauk. USSR Otd. Fiz.-Mat. 7 (1931) 749-754.
    • (1931) Izv. Akad. Nauk. USSR Otd. Fiz.-Mat. , vol.7 , pp. 749-754
    • Gerschgorin, S.1
  • 10
    • 0029291966 scopus 로고
    • Sparse approximate solutions to linear systems
    • B.K. Natarajan, Sparse approximate solutions to linear systems, SIAM J. Comput. 24 (1995) 227-234.
    • (1995) SIAM J. Comput. , vol.24 , pp. 227-234
    • Natarajan, B.K.1
  • 11
    • 52349092455 scopus 로고    scopus 로고
    • On sparse reconstruction from Fourier and Gaussian measurements
    • M. Rudelson and R. Vershynin, On sparse reconstruction from Fourier and Gaussian measurements, Comm. Pure Appl. Math. 61 (2008) 1025-1045.
    • (2008) Comm. Pure Appl. Math. , vol.61 , pp. 1025-1045
    • Rudelson, M.1    Vershynin, R.2
  • 13
    • 0242323185 scopus 로고    scopus 로고
    • Grassmannian frames with applications to coding and communication
    • T. Strohmer and R.W. Heath, Grassmannian frames with applications to coding and communication, Appl. Comp. Harmon. Anal. 14 (2003) 257-275.
    • (2003) Appl. Comp. Harmon. Anal. , vol.14 , pp. 257-275
    • Strohmer, T.1    Heath, R.W.2
  • 14
    • 0016060859 scopus 로고
    • Lower bounds on the maximum cross correlation of signals
    • L.R. Welch, Lower bounds on the maximum cross correlation of signals, IEEE Trans. Inform. Theory 20 (1974) 397-399.
    • (1974) IEEE Trans. Inform. Theory , vol.20 , pp. 397-399
    • Welch, L.R.1
  • 15
    • 18544374568 scopus 로고    scopus 로고
    • Achieving the Welch bound with difference sets
    • DOI 10.1109/TIT.2005.846411
    • P. Xia, S. Zhou and G.B Giannakis, Achieving the Welch bound with difference sets, IEEE Trans. Inform. Theory 51 (2005) 1900-1907. (Pubitemid 40654465)
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.5 , pp. 1900-1907
    • Xia, P.1    Zhou, S.2    Giannakis, G.B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.