메뉴 건너뛰기




Volumn 59, Issue 10, 2011, Pages 4759-4766

Compressive sampling with generalized polygons

Author keywords

Belief propagation; bipartite graphs; compressed sensing; compressive sampling; finite geometry; generalized polygons; low density parity check codes; Nyquist sampling; sparse signals

Indexed keywords

BELIEF PROPAGATION; BIPARTITE GRAPHS; COMPRESSED SENSING; COMPRESSIVE SAMPLING; FINITE GEOMETRY; GENERALIZED POLYGONS; LOW-DENSITY PARITY-CHECK CODES; NYQUIST SAMPLING; SPARSE SIGNALS;

EID: 80052895232     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2011.2160860     Document Type: Article
Times cited : (22)

References (30)
  • 1
    • 33947416035 scopus 로고    scopus 로고
    • Near-optimal signal recovery from random projections: Universal encoding strategies?
    • DOI 10.1109/TIT.2006.885507
    • E. Candes and T. Tao, "Near optimal signal recovery from random projections: Universal encoding strategies?," IEEE Trans. Inf. Theory, vol. 52, pp. 5406-5425, Dec. 2006. (Pubitemid 46445381)
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.12 , pp. 5406-5425
    • Candes, E.J.1    Tao, T.2
  • 2
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • Apr.
    • D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, Apr. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.4 , pp. 1289-1306
    • Donoho, D.L.1
  • 3
    • 0027814133 scopus 로고
    • Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition
    • Pacific Grove, CA Nov.
    • Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad, "Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition," in Proc. 27th Annu. Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Nov. 1993, pp. 40-44.
    • (1993) Proc. 27th Annu. Asilomar Conf. Signals, Syst., Comput. , pp. 40-44
    • Pati, Y.C.1    Rezaiifar, R.2    Krishnaprasad, P.S.3
  • 4
    • 64649083745 scopus 로고    scopus 로고
    • Signal recovery from random measurements via orthogonal matching pursuit
    • Dec.
    • J. A. Tropp and A. C. Gilbert, "Signal recovery from random measurements via orthogonal matching pursuit," IEEE Trans. Inf. Theory, vol. 53, pp. 4655-4666, Dec. 2007.
    • (2007) IEEE Trans. Inf. Theory , vol.53 , pp. 4655-4666
    • Tropp, J.A.1    Gilbert, A.C.2
  • 6
    • 62749175137 scopus 로고    scopus 로고
    • CoSaMP: Iterative signal recovery from incomplete and inaccurate samples
    • May
    • D. Needell and J. A. Tropp, "CoSaMP: Iterative signal recovery from incomplete and inaccurate samples," Appl. Comput. Harmon. Anal., vol. 26, no. 3, pp. 301-321, May 2009.
    • (2009) Appl. Comput. Harmon. Anal. , vol.26 , Issue.3 , pp. 301-321
    • Needell, D.1    Tropp, J.A.2
  • 7
    • 65749110333 scopus 로고    scopus 로고
    • Subspace pursuit for compressive sensing: Closing the gap between performance and complexity
    • May
    • W. Dai and O. Milenkovic, "Subspace pursuit for compressive sensing: Closing the gap between performance and complexity," IEEE Trans. Inf. Theory, vol. 55, pp. 2230-2249, May 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , pp. 2230-2249
    • Dai, W.1    Milenkovic, O.2
  • 8
    • 69949164527 scopus 로고    scopus 로고
    • Iterative hard thresholding for compressed sensing
    • Nov.
    • T. Blumensath and M. E. Davies, "Iterative hard thresholding for compressed sensing," Appl. Comput. Harmon. Anal., vol. 27, no. 3, pp. 265-274, Nov. 2009.
    • (2009) Appl. Comput. Harmon. Anal. , vol.27 , Issue.3 , pp. 265-274
    • Blumensath, T.1    Davies, M.E.2
  • 9
    • 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, vol. 23, pp. 918-925, Aug. 2007. (Pubitemid 350122965)
    • (2007) Journal of Complexity , vol.23 , Issue.4-6 , pp. 918-925
    • DeVore, R.A.1
  • 11
    • 46749155099 scopus 로고    scopus 로고
    • Efficient compressive sensing with deterministic guarantees using expander graphs
    • Lake Tahoe, CA Sep.
    • W. Xu and B. Hassibi, "Efficient compressive sensing with deterministic guarantees using expander graphs," in Proc. IEEE Inf. Theory Workshop, Lake Tahoe, CA, Sep. 2007, pp. 414-419.
    • (2007) Proc. IEEE Inf. Theory Workshop , pp. 414-419
    • Xu, W.1    Hassibi, B.2
  • 12
    • 69449105428 scopus 로고    scopus 로고
    • Efficient and robust compressed sensing using optimized expander graphs
    • Sep.
    • S. Jafarpour, W. Xu, B. Hassibi, and R. Calderbank, "Efficient and robust compressed sensing using optimized expander graphs," IEEE Trans. Inf. Theory, vol. 55, pp. 4299-4308, Sep. 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , pp. 4299-4308
    • Jafarpour, S.1    Xu, W.2    Hassibi, B.3    Calderbank, R.4
  • 14
    • 77949687001 scopus 로고    scopus 로고
    • Construction of a large class of deterministic sensing matrices that satisfy a statistical isometry property
    • Apr.
    • R. Calderbank, S. Howard, and S. Jafarpour, "Construction of a large class of deterministic sensing matrices that satisfy a statistical isometry property," IEEE J. Sel. Topics Signal Process., vol. 4, pp. 358-374, Apr. 2010.
    • (2010) IEEE J. Sel. Topics Signal Process. , vol.4 , pp. 358-374
    • Calderbank, R.1    Howard, S.2    Jafarpour, S.3
  • 15
    • 77956583201 scopus 로고    scopus 로고
    • Why Gabor frames? two fundamental measures of coherence and their role in model selection
    • Aug.
    • W. U. Bajwa, R. Calderbank, and S. Jafarpour, "Why Gabor frames? two fundamental measures of coherence and their role in model selection," J. Commun. Netw., vol. 12, pp. 289-307, Aug. 2010.
    • (2010) J. Commun. Netw. , vol.12 , pp. 289-307
    • Bajwa, W.U.1    Calderbank, R.2    Jafarpour, S.3
  • 16
    • 51649137594 scopus 로고
    • Sur la trialite et certains groupes qui s'en deduisent"
    • J. Tits, "Sur la trialite et certains groupes qui s'en deduisent," Inst. Hautes Etudes Sci. Publ. Math., vol. 2, pp. 14-60, 1959.
    • (1959) Inst. Hautes Etudes Sci. Publ. Math. , vol.2 , pp. 14-60
    • Tits, J.1
  • 17
    • 0001741691 scopus 로고
    • The nonexistence of certain generalized polygons
    • W. Feit and G. Higman, "The nonexistence of certain generalized polygons," J. Algebra, vol. 1, pp. 114-131, 1964.
    • (1964) J. Algebra , vol.1 , pp. 114-131
    • Feit, W.1    Higman, G.2
  • 19
    • 27744563534 scopus 로고    scopus 로고
    • LDPC codes from generalized polygons
    • DOI 10.1109/TIT.2005.856936
    • Z. Liu and D. A. Pados, "LDPC codes from generalized polygons," IEEE Trans. Inf. Theory, vol. 51, pp. 3890-3898, Nov. 2005. (Pubitemid 41622587)
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.11 , pp. 3890-3898
    • Liu, Z.1    Pados, D.A.2
  • 20
    • 72949124697 scopus 로고    scopus 로고
    • Bayesian compressive sensing via belief propagation
    • Jan.
    • D. Baron, S. Sarvotham, and R. Baraniuk, "Bayesian compressive sensing via belief propagation," IEEE Trans. Signal Process., vol. 58, pp. 269-280, Jan. 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , pp. 269-280
    • Baron, D.1    Sarvotham, S.2    Baraniuk, R.3
  • 23
    • 57149125289 scopus 로고    scopus 로고
    • Sufficient conditions for convergence of the sum-product algorithm
    • Dec.
    • J. Mooij and H. Kappen, "Sufficient conditions for convergence of the sum-product algorithm," IEEE Trans. Inf. Theory, vol. 53, pp. 4422-4437, Dec. 2007.
    • (2007) IEEE Trans. Inf. Theory , vol.53 , pp. 4422-4437
    • Mooij, J.1    Kappen, H.2
  • 24
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • DOI 10.1002/cpa.20124
    • E. Candes, J. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Commun. Pure Appl. Math., vol. 59, pp. 1207-1223, Aug. 2006. (Pubitemid 43988295)
    • (2006) Communications on Pure and Applied Mathematics , vol.59 , Issue.8 , pp. 1207-1223
    • Candes, E.J.1    Romberg, J.K.2    Tao, T.3
  • 25
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • R. Tibshirani, "Regression shrinkage and selection via the lasso," J. R. Statist. Soc., vol. 58, pp. 267-288, 1996.
    • (1996) J. R. Statist. Soc. , vol.58 , pp. 267-288
    • Tibshirani, R.1
  • 26
    • 80052874446 scopus 로고    scopus 로고
    • T Magic [Online]. Available
    • T Magic [Online]. Available: http://www.acm.caltech.edu/l1magic
  • 27
    • 80052887147 scopus 로고    scopus 로고
    • LASSO Software [Online]. Available
    • LASSO Software [Online]. Available: http://www-stat.stanford. edu/~tibs/lasso.html
  • 29
    • 80052897712 scopus 로고    scopus 로고
    • Sparse Recovery Experiments With Sparse Matrices [Online]. Available
    • Sparse Recovery Experiments With Sparse Matrices [Online]. Available: http://groups.csail.mit.edu/toc/sparse/wiki/index.php?title= Sparse-Recovery-Experiments-with-Sparse-Matrices
  • 30
    • 0030209580 scopus 로고    scopus 로고
    • A finite generalized hexagon admitting a group acting transitively on ordered heptagons is classical
    • Aug.
    • H. V. Maldeghem, "A finite generalized hexagon admitting a group acting transitively on ordered heptagons is classical," J. Combin. Theory, vol. 75, pp. 254-269, Aug. 1996.
    • (1996) J. Combin. Theory , vol.75 , pp. 254-269
    • Maldeghem, H.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.