메뉴 건너뛰기




Volumn 58, Issue 6, 2010, Pages 3384-3389

The cramér-rao bound for estimating a sparse parameter vector

Author keywords

Constrained estimation; Cram r Rao bound (CRB); Sparse estimation

Indexed keywords

CONSTRAINED ESTIMATION; GAUSSIAN NOISE; GOLD STANDARDS; HIGH SIGNAL-TO-NOISE RATIO; MEAN SQUARED ERROR; PARAMETER VALUES; PARAMETER VECTORS; SPARSE ESTIMATION;

EID: 77952570699     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2010.2045423     Document Type: Article
Times cited : (135)

References (20)
  • 1
    • 33645712308 scopus 로고    scopus 로고
    • Just relax: Convex programming methods for identifying sparse signals in noise
    • J. A. Tropp, "Just relax: Convex programming methods for identifying sparse signals in noise, " IEEE Trans. Inf. Theory, vol. 52, no. 3, pp. 1030-1051, 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.3 , pp. 1030-1051
    • Tropp, J.A.1
  • 2
    • 34548275795 scopus 로고    scopus 로고
    • The dantzig selector: Statistical estimation when p is much larger than n
    • E. Candes and T. Tao, "The Dantzig selector: Statistical estimation when p is much larger than n, " Ann. Statist., vol. 35, no. 6, pp. 2313-2351, 2007.
    • (2007) Ann. Statist. , vol.35 , Issue.6 , pp. 2313-2351
    • Candes, E.1    Tao, T.2
  • 3
    • 33646748681 scopus 로고    scopus 로고
    • Modern statistical estimation via oracle inequalities
    • E. J. Candès, "Modern statistical estimation via oracle inequalities, " Acta Numerica, pp. 1-69, 2006.
    • (2006) Acta Numerica , pp. 1-69
    • Candès, E.J.1
  • 5
    • 0025517126 scopus 로고
    • Lower bounds for parametric estimation with constraints
    • Nov
    • J. D. Gorman and A. O. Hero, "Lower bounds for parametric estimation with constraints, " IEEE Trans. Inf. Theory, vol. 26, no. 6, pp. 1285-1301, Nov. 1990.
    • (1990) IEEE Trans. Inf. Theory , vol.26 , Issue.6 , pp. 1285-1301
    • Gorman, J.D.1    Hero, A.O.2
  • 6
    • 0032123107 scopus 로고    scopus 로고
    • On the Cramér-Rao bound under parametric constraints
    • P. Stoica and B. C. Ng, "On the Cramér-Rao bound under parametric constraints, " IEEE Signal Process. Lett., vol. 5, no. 7, pp. 177-179, 1998.
    • (1998) IEEE Signal Process. Lett. , vol.5 , Issue.7 , pp. 177-179
    • Stoica, P.1    Ng, B.C.2
  • 7
    • 65649106479 scopus 로고    scopus 로고
    • On the constrained Cramér-Rao bound with a singular Fisher information matrix
    • Jun
    • Z. Ben-Haim and Y. C. Eldar, "On the constrained Cramér-Rao bound with a singular Fisher information matrix, " IEEE Signal Process. Lett., vol. 16, no. 6, pp. 453-456, Jun. 2009.
    • (2009) IEEE Signal Process. Lett. , vol.16 , Issue.6 , pp. 453-456
    • Ben-Haim, Z.1    Eldar, Y.C.2
  • 9
    • 77952578771 scopus 로고    scopus 로고
    • The Cramér-Rao bound for sparse estimation
    • Dept. of Electrical Engineering, Technion, Haifa, Israel, Online. Available
    • Z. Ben-Haim and Y. C. Eldar, The Cramér-Rao Bound for Sparse Estimation, Tech. Rep. 1714 Dept. of Electrical Engineering, Technion, Haifa, Israel, 2010 [Online]. Available: http://arxiv.org/abs/0905.4378
    • (2010) Tech. Rep. , pp. 1714
    • Ben-Haim, Z.1    Eldar, Y.C.2
  • 10
    • 61549095738 scopus 로고    scopus 로고
    • Asymptotic achievability of the Cramér-Rao bound for noisy compressive sampling
    • B. Babadi, N. Kalouptsidis, and V. Tarokh, "Asymptotic achievability of the Cramér-Rao bound for noisy compressive sampling, " IEEE Trans. Signal Process., vol. 57, no. 3, pp. 1233-1236, 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.3 , pp. 1233-1236
    • Babadi, B.1    Kalouptsidis, N.2    Tarokh, V.3
  • 11
    • 0034299822 scopus 로고    scopus 로고
    • Multi-frame compression: Theory and design
    • K. Engan, S. O. Aase, and J. H. Husøy, "Multi-frame compression: Theory and design, " Signal Process., vol. 80, no. 10, pp. 2121-2140, 2000.
    • (2000) Signal Process. , vol.80 , Issue.10 , pp. 2121-2140
    • Engan, K.1    Aase, S.O.2    Husøy, J.H.3
  • 12
    • 33751379736 scopus 로고    scopus 로고
    • Image denoising via sparse and redundant representations over learned dictionaries
    • DOI 10.1109/TIP.2006.881969
    • M. Elad and M. Aharon, "Image denoising via sparse and redundant representations over learned dictionaries, " IEEE Trans. Image Process., vol. 15, no. 12, pp. 3736-3745, Dec. 2006. (Pubitemid 44811686)
    • (2006) IEEE Transactions on Image Processing , vol.15 , Issue.12 , pp. 3736-3745
    • Elad, M.1    Aharon, M.2
  • 14
    • 77952569997 scopus 로고    scopus 로고
    • Coherence-based performance guarantees for estimating a sparse vector under random noise
    • in, Online. Available
    • Z. Ben-Haim, Y. C. Eldar, and M. Elad, "Coherence-based performance guarantees for estimating a sparse vector under random noise, " in IEEE Trans. Signal Process., 2009 [Online]. Available: http://arxiv. org/abs/0903.4579
    • (2009) IEEE Trans. Signal Process.
    • Ben-Haim, Z.1    Eldar, Y.C.2    Elad, M.3
  • 15
    • 41849084092 scopus 로고    scopus 로고
    • Blind minimax estimation
    • Sep
    • Z. Ben-Haim and Y. C. Eldar, "Blind minimax estimation, " IEEE Trans. Inf. Theory, vol. 53, no. 9, pp. 3145-3157, Sep. 2007.
    • (2007) IEEE Trans. Inf. Theory , vol.53 , Issue.9 , pp. 3145-3157
    • Ben-Haim, Z.1    Eldar, Y.C.2
  • 16
    • 70350743173 scopus 로고    scopus 로고
    • Robust recovery of signals from a structured union of subspaces
    • Nov
    • Y. C. Eldar and M. Mishali, "Robust recovery of signals from a structured union of subspaces, " IEEE Trans. Inf. Theory, vol. 55, no. 11, pp. 5302-5316, Nov. 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.11 , pp. 5302-5316
    • Eldar, Y.C.1    Mishali, M.2
  • 17
    • 68249162101 scopus 로고    scopus 로고
    • Compressed sensing of analog signals in shift-invariant spaces
    • Aug
    • Y. C. Eldar, "Compressed sensing of analog signals in shift-invariant spaces, " IEEE Trans. Signal Process., vol. 57, no. 8, pp. 2986-2997, Aug. 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.8 , pp. 2986-2997
    • Eldar, Y.C.1
  • 18
    • 77951180022 scopus 로고    scopus 로고
    • Time delay estimation from low rate samples: A union of subspaces approach
    • Online. Available:, to be published
    • K. Gedalyahu and Y. C. Eldar, "Time delay estimation from low rate samples: A union of subspaces approach, " IEEE Trans. Signal Process., 2010 [Online]. Available: http://arxiv.org/abs/0905.2429, to be published
    • (2010) IEEE Trans. Signal Process.
    • Gedalyahu, K.1    Eldar, Y.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.