메뉴 건너뛰기




Volumn 60, Issue 1, 2012, Pages 518-526

On the achievability of Cramér-Rao bound in noisy compressed sensing

Author keywords

Chernoff bound; compressed sensing; joint typicality; typical estimation

Indexed keywords

ACHIEVABILITY; BUILDING BLOCKES; CHERNOFF BOUNDS; COMPRESSED SENSING; COMPRESSIVE SAMPLING; CONCENTRATION OF MEASURE; GAUSSIANITY; JOINT TYPICALITY; LOWER BOUNDS; MATRIX; MEASUREMENT MATRIX; SIGNAL PROCESS; THEORETIC LIMIT;

EID: 84555218027     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2011.2171953     Document Type: Article
Times cited : (32)

References (28)
  • 1
    • 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
  • 2
    • 73849138881 scopus 로고    scopus 로고
    • Shannon theoretic limits on noisy compressive sampling
    • M. Akçakaya and V. Tarokh, "Shannon theoretic limits on noisy compressive sampling," IEEE Trans. Inf. Theory, vol. 56, no. 1, pp. 492-504, 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.1 , pp. 492-504
    • Akçakaya, M.1    Tarokh, V.2
  • 3
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • D. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.4 , pp. 1289-1306
    • Donoho, D.1
  • 4
    • 84878104490 scopus 로고    scopus 로고
    • Compressive sampling
    • E. Candès, "Compressive sampling," in Proc. Int. Congr. Math., 2006, vol. 3, pp. 1433-1452.
    • (2006) Proc. Int. Congr. Math. , vol.3 , pp. 1433-1452
    • Candès, E.1
  • 5
    • 30844433547 scopus 로고    scopus 로고
    • Extensions of compressed sensing
    • Y. Tsaig and D. Donoho, "Extensions of compressed sensing," Signal Process., vol. 86, no. 3, pp. 549-571, 2006.
    • (2006) Signal Process. , vol.86 , Issue.3 , pp. 549-571
    • Tsaig, Y.1    Donoho, D.2
  • 6
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • E. Candès, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, vol. 52, no. 2, p. 489, 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.2 , pp. 489
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 9
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • E. Candès, J. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Commun. Pure Appl. Math., vol. 59, no. 8, pp. 1207-1223, 2006.
    • (2006) Commun. Pure Appl. Math. , vol.59 , Issue.8 , pp. 1207-1223
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 10
    • 64649083745 scopus 로고    scopus 로고
    • Signal recovery from random measurements via orthogonal matching pursuit
    • J. Tropp and A. Gilbert, "Signal recovery from random measurements via orthogonal matching pursuit," IEEE Trans. Inf. Theory, vol. 53, no. 12, p. 4655, 2007.
    • (2007) IEEE Trans. Inf. Theory , vol.53 , Issue.12 , pp. 4655
    • Tropp, J.1    Gilbert, A.2
  • 11
    • 33646365077 scopus 로고    scopus 로고
    • For most large underdetermined systems of linear equations the minimal l1-norm solution is also the sparsest solution
    • D. Donoho, "For most large underdetermined systems of linear equations the minimal l1-norm solution is also the sparsest solution," Commun. Pure Appl. Math., vol. 59, no. 6, pp. 797-829, 2006.
    • (2006) Commun. Pure Appl. Math. , vol.59 , Issue.6 , pp. 797-829
    • Donoho, D.1
  • 12
    • 0035273106 scopus 로고    scopus 로고
    • Atomic decomposition by basis pursuit
    • S. Chen, D. Donoho, and M. Saunders, "Atomic decomposition by basis pursuit," SIAM Rev., vol. 43, no. 1, pp. 129-159, 2001.
    • (2001) SIAM Rev. , vol.43 , Issue.1 , pp. 129-159
    • Chen, S.1    Donoho, D.2    Saunders, M.3
  • 14
    • 0031102203 scopus 로고    scopus 로고
    • Sparse signal reconstruction from limited data using FOCUSS: Are-weighted minimum norm algorithm
    • I. Gorodnitsky and B. Rao, "Sparse signal reconstruction from limited data using FOCUSS: Are-weighted minimum norm algorithm," IEEE Trans. Signal Process., vol. 45, no. 3, pp. 600-616, 1997.
    • (1997) IEEE Trans. Signal Process. , vol.45 , Issue.3 , pp. 600-616
    • Gorodnitsky, I.1    Rao, B.2
  • 15
    • 62749175137 scopus 로고    scopus 로고
    • CoSaMP: Iterative signal recovery from incomplete and inaccurate samples
    • D. Needell and J. Tropp, "CoSaMP: Iterative signal recovery from incomplete and inaccurate samples," Appl. Comput. Harmon. Anal., vol. 26, no. 3, pp. 301-321, 2009.
    • (2009) Appl. Comput. Harmon. Anal. , vol.26 , Issue.3 , pp. 301-321
    • Needell, D.1    Tropp, J.2
  • 16
    • 58649115827 scopus 로고    scopus 로고
    • A fast approach for overcomplete sparse decomposition based on smoothed l0 norm
    • H. Mohimani, M. Babaie-Zadeh, and C. Jutten, "A fast approach for overcomplete sparse decomposition based on smoothed l0 norm," IEEE Trans. Signal Process., vol. 57, no. 1, pp. 289-301, 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.1 , pp. 289-301
    • Mohimani, H.1    Babaie-Zadeh, M.2    Jutten, C.3
  • 18
    • 34249329605 scopus 로고    scopus 로고
    • Sparse channel estimation with zero tap detection
    • C. Carbonelli, S. Vedantam, and U. Mitra, "Sparse channel estimation with zero tap detection," IEEE Trans. Wireless Commun., vol. 6, no. 5, pp. 1743-1763, 2007.
    • (2007) IEEE Trans. Wireless Commun. , vol.6 , Issue.5 , pp. 1743-1763
    • Carbonelli, C.1    Vedantam, S.2    Mitra, U.3
  • 19
    • 34548275795 scopus 로고    scopus 로고
    • The Dantzig selector: Statistical estimation when p is much larger than n
    • E. Candès 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
    • Candès, E.1    Tao, T.2
  • 20
    • 77952570699 scopus 로고    scopus 로고
    • The Cramér-Rao bound for estimating a sparse parameter vector
    • Z. Ben-Haim and Y. Eldar, "The Cramér-Rao bound for estimating a sparse parameter vector," IEEE Trans. Signal Process., vol. 58, no. 6, pp. 3384-3389, 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , Issue.6 , pp. 3384-3389
    • Ben-Haim, Z.1    Eldar, Y.2
  • 21
    • 33748575920 scopus 로고    scopus 로고
    • Signal reconstruction from noisy random projections
    • J. Haupt and R. Nowak, "Signal reconstruction from noisy random projections," IEEE Trans. Inf. Theory, vol. 52, no. 9, pp. 4036-4048, 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.9 , pp. 4036-4048
    • Haupt, J.1    Nowak, R.2
  • 24
    • 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," Construct. Approx., vol. 28, no. 3, pp. 253-263, 2008.
    • (2008) Construct. Approx. , vol.28 , Issue.3 , pp. 253-263
    • Baraniuk, R.1    Davenport, M.2    Devore, R.3    Wakin, M.4
  • 25
    • 0038166193 scopus 로고    scopus 로고
    • Database-friendly random projections: Johnson-lindenstrauss with binary coins
    • D. Achlioptas, "Database-friendly random projections: Johnson-Lindenstrauss with binary coins," J. Comput. Syst. Sci., vol. 66, no. 4, pp. 671-687, 2003.
    • (2003) J. Comput. Syst. Sci. , vol.66 , Issue.4 , pp. 671-687
    • Achlioptas, D.1
  • 26
    • 0025383763 scopus 로고
    • A guided tour of chernoff bounds
    • T. Hagerup and C. Rub, "A guided tour of Chernoff bounds," in Proc. Lett., 1989, vol. 33, pp. 305-308.
    • (1989) Proc. Lett. , vol.33 , pp. 305-308
    • Hagerup, T.1    Rub, C.2
  • 28
    • 77956563404 scopus 로고    scopus 로고
    • Toeplitz compressed sensing matrices with applications to sparse channel estimation
    • J. Haupt, W. Bajwa, G. Raz, and R. Nowak, "Toeplitz compressed sensing matrices with applications to sparse channel estimation," IEEE Trans. Inf. Theory, vol. 56, no. 11, pp. 5862-5875, 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.11 , pp. 5862-5875
    • Haupt, J.1    Bajwa, W.2    Raz, G.3    Nowak, R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.