메뉴 건너뛰기




Volumn , Issue , 2009, Pages 870-875

Simple deterministically constructible rip matrices with sublinear fourier sampling requirements

Author keywords

Algorithms; Discrete fourier transforms; Fourier transforms; Number theory; Signal processing

Indexed keywords

EXPLICIT BOUNDS; FOURIER; FOURIER SAMPLING; INPUT VECTOR; PERIODIC FUNCTION; SAMPLE SETS; SECOND DERIVATIVES; SINGLE PERIOD; SPARSE MATRICES; SUBLINEAR;

EID: 70349684905     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CISS.2009.5054839     Document Type: Conference Paper
Times cited : (30)

References (19)
  • 1
    • 78650759634 scopus 로고    scopus 로고
    • A deterministic sub-linear time sparse fourier algorithm via non-adaptive compressed sensing methods
    • M. A. Iwen, "A deterministic sub-linear time sparse fourier algorithm via non-adaptive compressed sensing methods," in Proc. of ACM-SIAM symposium on Discrete algorithms (SODA'08), 2008.
    • (2008) Proc. of ACM-SIAM symposium on Discrete algorithms (SODA'08)
    • Iwen, M.A.1
  • 2
    • 70349693482 scopus 로고    scopus 로고
    • M. A. Iwen, Combinatorial sublinear-time fourier algorithms, Submitted. Available at http://www.ima.umn.edu/~iwen/index.html, 2008.
    • M. A. Iwen, "Combinatorial sublinear-time fourier algorithms," Submitted. Available at http://www.ima.umn.edu/~iwen/index.html, 2008.
  • 3
    • 33947416035 scopus 로고    scopus 로고
    • Near optimal signal recovery from random projections: Universal encoding strategies?
    • Emmanuel Candes and Terence Tao, "Near optimal signal recovery from random projections: Universal encoding strategies?," IEEE Trans. on Information Theory, 2006.
    • (2006) IEEE Trans. on Information Theory
    • Candes, E.1    Tao, T.2
  • 5
    • 57949113508 scopus 로고    scopus 로고
    • Combining geometry and combinatorics: A unified approach to sparse signal recovery
    • preprint
    • R. Berinde, A. C. Gilbert, P. Indyk, H. Karloff, and M.J. Strauss, "Combining geometry and combinatorics: A unified approach to sparse signal recovery," preprint, 2008.
    • (2008)
    • Berinde, R.1    Gilbert, A.C.2    Indyk, P.3    Karloff, H.4    Strauss, M.J.5
  • 7
    • 57349104469 scopus 로고    scopus 로고
    • Cosamp: Iterative signal recovery from incomplete and inaccurate samples
    • preprint
    • D. Needell and J. A. Tropp, "Cosamp: Iterative signal recovery from incomplete and inaccurate samples," preprint, 2008.
    • (2008)
    • Needell, D.1    Tropp, J.A.2
  • 8
    • 57149139112 scopus 로고    scopus 로고
    • Random Sampling of Sparse Trigonometric Polynomials II - Orthogonal Matching Pursuit versus Basis Pursuit
    • to appear
    • Stefan Kunis and Holger Rauhut, "Random Sampling of Sparse Trigonometric Polynomials II - Orthogonal Matching Pursuit versus Basis Pursuit," Foundations of Computational Mathematics, to appear.
    • Foundations of Computational Mathematics
    • Kunis, S.1    Rauhut, H.2
  • 9
    • 44849091138 scopus 로고    scopus 로고
    • Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit
    • submitted
    • D. Needell and R. Vershynin, "Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit," submitted, 2007.
    • (2007)
    • Needell, D.1    Vershynin, R.2
  • 10
    • 70349655100 scopus 로고    scopus 로고
    • J. P. Boyd, Chebyshev and Fourier Spectral Methods, Dover Publications, Inc., 2001.
    • J. P. Boyd, Chebyshev and Fourier Spectral Methods, Dover Publications, Inc., 2001.
  • 12
    • 70349695710 scopus 로고    scopus 로고
    • "The Prime Pages," http://primes.utm.edu/.
    • The Prime
  • 14
    • 0009995540 scopus 로고    scopus 로고
    • th prime is greater than k(lnk + In k: - 1) for k ≥ 2
    • th prime is greater than k(lnk + In k: - 1) for k ≥ 2," Mathematics of Computation, vol. 68, no. 225, 1999.
    • (1999) Mathematics of Computation , vol.68 , Issue.225
    • Dusart, P.1
  • 15
    • 64549154168 scopus 로고    scopus 로고
    • A negative result concerning explicit matrices with the restricted isometry property
    • Preprint
    • Venkat Chandar, "A negative result concerning explicit matrices with the restricted isometry property," Preprint, 2008.
    • (2008)
    • Chandar, V.1
  • 19
    • 30844452004 scopus 로고    scopus 로고
    • Improved time bounds for near-optimal sparse Fourier representations
    • A. Gilbert, S. Muthukrishnan, and M. Strauss, "Improved time bounds for near-optimal sparse Fourier representations," SPIE, 2005.
    • (2005) SPIE
    • Gilbert, A.1    Muthukrishnan, S.2    Strauss, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.