메뉴 건너뛰기




Volumn 55, Issue 11, 2009, Pages 4793-4821

The generalized area theorem and some of its consequences

Author keywords

Area theorem; Belief propagation (BP); Entropy; EXIT curve; Maximum a posteriori; Maximum likelihood; Maxwell construction; Phase transition; Threshold

Indexed keywords

AREA THEOREM; BELIEF PROPAGATION (BP); EXIT CURVE; MAXIMUM A POSTERIORI; MAXWELL CONSTRUCTION; THRESHOLD;

EID: 70350710226     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2009.2030457     Document Type: Article
Times cited : (77)

References (45)
  • 2
    • 33749434954 scopus 로고    scopus 로고
    • Maximum a posteriori decoding and turbo codes for general memoryless channels
    • Adelaide, Australia, Sep
    • C. Méasson, A. Montanari, T. Richardson, and R. Urbanke, "Maximum a posteriori decoding and turbo codes for general memoryless channels," in Proc. e IEEE Int. Symp. Information Theory, Adelaide, Australia, Sep. 2005, pp. 1241-1245.
    • (2005) Proc. e IEEE Int. Symp. Information Theory , pp. 1241-1245
    • Méasson, C.1    Montanari, A.2    Richardson, T.3    Urbanke, R.4
  • 4
    • 5044245033 scopus 로고    scopus 로고
    • Maxwell's construction: The hidden bridge between maximum-likelihood and iterative decoding
    • Chicago, IL, Jun./Jul
    • C. Méasson, A. Montanari, and R. Urbanke, "Maxwell's construction: The hidden bridge between maximum-likelihood and iterative decoding," in Proc. IEEE Int. Symp. Information Theory, Chicago, IL, Jun./Jul. 2004, p. 224.
    • (2004) Proc. IEEE Int. Symp. Information Theory , pp. 224
    • Méasson, C.1    Montanari, A.2    Urbanke, R.3
  • 5
    • 57449105742 scopus 로고    scopus 로고
    • Maxwell's construction: The hidden bridge between iterative and maximum a posteriori decoding
    • Dec
    • C. Méasson, A. Montanari, and R. Urbanke, "Maxwell's construction: The hidden bridge between iterative and maximum a posteriori decoding," IEEE Trans. Inf. Theory., vol. 54, no. 12, Dec. 2008.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , Issue.12
    • Méasson, C.1    Montanari, A.2    Urbanke, R.3
  • 6
    • 17644382199 scopus 로고    scopus 로고
    • D. Guo, S. Shamai (Shitz), and S. Verdú, Mutual information and conditional mean estimation in Poisson channels, in Proc. IEEE Informormation Theory Workshop, San Antonio, TX, Oct. 2004, pp. 265-270.
    • D. Guo, S. Shamai (Shitz), and S. Verdú, "Mutual information and conditional mean estimation in Poisson channels," in Proc. IEEE Informormation Theory Workshop, San Antonio, TX, Oct. 2004, pp. 265-270.
  • 7
    • 17644366813 scopus 로고    scopus 로고
    • D. Guo, S. Shamai (Shitz), and S. Verdú, Mutual information and minimum mean-square error in gaussian channels, IEEE Trans. Inf. Theory, 51, no. 4, pp. 1261-1882, Apr. 2005.
    • D. Guo, S. Shamai (Shitz), and S. Verdú, "Mutual information and minimum mean-square error in gaussian channels," IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1261-1882, Apr. 2005.
  • 8
    • 33749439323 scopus 로고    scopus 로고
    • Correlation inequalities: A useful tool in the theory of LDPC codes
    • Adelaide, Australia, Sep
    • N. Macris, "Correlation inequalities: A useful tool in the theory of LDPC codes," in Proc. IEEE Int. Symp. Information Theory, Adelaide, Australia, Sep. 2005, pp. 2369-2373.
    • (2005) Proc. IEEE Int. Symp. Information Theory , pp. 2369-2373
    • Macris, N.1
  • 9
    • 70350728760 scopus 로고    scopus 로고
    • D. Guo, S. Shamai (Shitz), and S. Verdú, Additive non-gaussian noise channels: Mutual information and conditional mean estimation, in Proc. IEEE Int. Symp. Information Theory, Adelaide, Australia, Sep. 2005, pp. 719-723.
    • D. Guo, S. Shamai (Shitz), and S. Verdú, "Additive non-gaussian noise channels: Mutual information and conditional mean estimation," in Proc. IEEE Int. Symp. Information Theory, Adelaide, Australia, Sep. 2005, pp. 719-723.
  • 10
    • 26444493543 scopus 로고    scopus 로고
    • On mutual information, likelihood-ratios and estimation error for the additive gaussian channel
    • submitted for publication
    • M. Zakai, "On mutual information, likelihood-ratios and estimation error for the additive gaussian channel," IEEE Trans. Inf. Theory submitted for publication.
    • IEEE Trans. Inf. Theory
    • Zakai, M.1
  • 13
    • 0035246580 scopus 로고    scopus 로고
    • Improved low-density parity-check codes using irregular graphs
    • Feb
    • M. Luby, M. Mitzenmacher, A. Shokrollahi, and D. A. Spielman, "Improved low-density parity-check codes using irregular graphs," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 585-598, Feb. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.2 , pp. 585-598
    • Luby, M.1    Mitzenmacher, M.2    Shokrollahi, A.3    Spielman, D.A.4
  • 14
    • 0035246307 scopus 로고    scopus 로고
    • The capacity of low-density parity check codes under message-passing decoding
    • Feb
    • T. Richardson and R. Urbanke, "The capacity of low-density parity check codes under message-passing decoding," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 599-618, Feb. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.2 , pp. 599-618
    • Richardson, T.1    Urbanke, R.2
  • 15
    • 0035246127 scopus 로고    scopus 로고
    • Design of capacity-approaching irregular low-density parity-check codes
    • Feb
    • T. Richardson, A. Shokrollahi, and R. Urbanke, "Design of capacity-approaching irregular low-density parity-check codes," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 619-637, Feb. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.2 , pp. 619-637
    • Richardson, T.1    Shokrollahi, A.2    Urbanke, R.3
  • 16
    • 2442425417 scopus 로고    scopus 로고
    • Extrinsic information transfer functions: Model and erasure channel property
    • Nov
    • A. Ashikhmin, G. Kramer, and S. ten Brink, "Extrinsic information transfer functions: Model and erasure channel property," IEEE Trans. Inf. Theory, vol. 50, no. 11, pp. 2657-2673, Nov. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.11 , pp. 2657-2673
    • Ashikhmin, A.1    Kramer, G.2    ten Brink, S.3
  • 17
    • 0032670935 scopus 로고    scopus 로고
    • Convergence of iterative decoding
    • May
    • S. ten Brink, "Convergence of iterative decoding," Electron. Lett. vol. 35, no. 10, pp. 806-808, May 1999.
    • (1999) Electron. Lett , vol.35 , Issue.10 , pp. 806-808
    • ten Brink, S.1
  • 19
    • 0034467185 scopus 로고    scopus 로고
    • Designing iterative decoding schemes with the extrinsic information transfer chart
    • S. ten Brink, "Designing iterative decoding schemes with the extrinsic information transfer chart," AEU Int. J. Electron. Commun., vol. 54, pp. 389-398, 2000.
    • (2000) AEU Int. J. Electron. Commun , vol.54 , pp. 389-398
    • ten Brink, S.1
  • 20
    • 0003114053 scopus 로고    scopus 로고
    • Iterative decoding trajectories of parallel concatenated codes
    • Munich, Germany, Jan
    • S. ten Brink, "Iterative decoding trajectories of parallel concatenated codes," in Proc. 3rd IEEE/ITG Conf. Source Channel Coding, Munich, Germany, Jan. 2000, pp. 75-80.
    • (2000) Proc. 3rd IEEE/ITG Conf. Source Channel Coding , pp. 75-80
    • ten Brink, S.1
  • 21
    • 0035481826 scopus 로고    scopus 로고
    • Convergence behavior of iteratively decoded parallel concatenated codes
    • Oct
    • S. ten Brink, "Convergence behavior of iteratively decoded parallel concatenated codes," IEEE Trans. Commun., vol. 49, no. 10, pp. 1727-1737, Oct. 2001.
    • (2001) IEEE Trans. Commun , vol.49 , Issue.10 , pp. 1727-1737
    • ten Brink, S.1
  • 25
    • 70350702754 scopus 로고    scopus 로고
    • I. Sutskover, S. Shamai (Shitz), and J. Ziv, Extremes of information combining, in Proc. 41th Annu. Allerton Conf. Communication, Control and Computing, Monticello, IL, 2003.
    • I. Sutskover, S. Shamai (Shitz), and J. Ziv, "Extremes of information combining," in Proc. 41th Annu. Allerton Conf. Communication, Control and Computing, Monticello, IL, 2003.
  • 26
    • 3943053975 scopus 로고    scopus 로고
    • D. Guo, S. Shamai (Shitz), and S. Verdú, Mutual information and MMSE in gaussian channels, in Proc. IEEE Int. Symp. Information Theory, Chicago, IL, Jun./Jul. 2004, p. 349.
    • D. Guo, S. Shamai (Shitz), and S. Verdú, "Mutual information and MMSE in gaussian channels," in Proc. IEEE Int. Symp. Information Theory, Chicago, IL, Jun./Jul. 2004, p. 349.
  • 27
    • 0000210350 scopus 로고    scopus 로고
    • The glassy phase of Gallager codes
    • A. Montanari, "The glassy phase of Gallager codes," Eur. Phys. J. B vol. 23, pp. 121-136, 2001.
    • (2001) Eur. Phys. J. B , vol.23 , pp. 121-136
    • Montanari, A.1
  • 28
    • 26444602447 scopus 로고    scopus 로고
    • Tight bounds for LDPC and LDGM codes under MAP decoding
    • Sep
    • A. Montanari, "Tight bounds for LDPC and LDGM codes under MAP decoding," IEEE Trans. Infm. Theory, vol. 51, no. 9, pp. 3221-3246, Sep. 2005.
    • (2005) IEEE Trans. Infm. Theory , vol.51 , Issue.9 , pp. 3221-3246
    • Montanari, A.1
  • 29
    • 70350714396 scopus 로고    scopus 로고
    • Improved bounds on the parity-check density and achievable rates of binary linear block codes with applications to LDPC codes
    • submitted for publication
    • G.Wiechman and I. Sason, "Improved bounds on the parity-check density and achievable rates of binary linear block codes with applications to LDPC codes," IEEE Trans. Inf. Theory, submitted for publication.
    • IEEE Trans. Inf. Theory
    • Wiechman, G.1    Sason, I.2
  • 34
    • 70350705926 scopus 로고    scopus 로고
    • I. Sutskover, S. Shamai(Shitz), and J. Ziv, Constrained information combining: Theory and applications for LDPC coded systems, IEEE Trans. Inf. Theory, submitted for publication.
    • I. Sutskover, S. Shamai(Shitz), and J. Ziv, "Constrained information combining: Theory and applications for LDPC coded systems," IEEE Trans. Inf. Theory, submitted for publication.
  • 36
    • 70350704771 scopus 로고    scopus 로고
    • A. Shokrollahi, Capacity-achieving sequences, in Codes, Systems, and Graphical Models, B. Marcus and J. Rosenthal, Eds. New York: Springer-Verlag, 2000, 123, IMA in Mathematics and its Applications, pp. 153-166.
    • A. Shokrollahi, "Capacity-achieving sequences," in Codes, Systems, and Graphical Models, B. Marcus and J. Rosenthal, Eds. New York: Springer-Verlag, 2000, vol. 123, IMA Volumes in Mathematics and its Applications, pp. 153-166.
  • 37
    • 0034857441 scopus 로고    scopus 로고
    • Capacity achieving sequences for the erasure channel
    • Washington, DC, Jun
    • P. Oswald and A. Shokrollahi, "Capacity achieving sequences for the erasure channel," in Proc. Int. Symp. Information Theory, Washington, DC, Jun. 2001, p. 48.
    • (2001) Proc. Int. Symp. Information Theory , pp. 48
    • Oswald, P.1    Shokrollahi, A.2
  • 39
    • 0036354703 scopus 로고    scopus 로고
    • Code rate and the area under extrinsic information transfer curves
    • Lausanne, Switzerland, Jun./Jul
    • A. Ashikhmin, G. Kramer, and S. ten Brink, "Code rate and the area under extrinsic information transfer curves," in Proc. IEEE Int. Symp. Information Theory, Lausanne, Switzerland, Jun./Jul. 2002, p. 115.
    • (2002) Proc. IEEE Int. Symp. Information Theory , pp. 115
    • Ashikhmin, A.1    Kramer, G.2    ten Brink, S.3
  • 40
    • 38849147294 scopus 로고    scopus 로고
    • Asymptotic analysis of turbo codes over the binary erasure channel
    • Saas Fee, Switzerland, Mar
    • C. Méasson and R. Urbanke, "Asymptotic analysis of turbo codes over the binary erasure channel," in Proc. 12th Joint Conf. Communications and Coding, Saas Fee, Switzerland, Mar. 2002.
    • (2002) Proc. 12th Joint Conf. Communications and Coding
    • Méasson, C.1    Urbanke, R.2
  • 41
    • 0141938907 scopus 로고    scopus 로고
    • Further analytic properties of EXIT-like curves and applications
    • Yokohama, Japan, Jun./Jul
    • C. Méasson and R. Urbanke, "Further analytic properties of EXIT-like curves and applications," in Proc. IEEE Int. Symp. Information Theory, Yokohama, Japan, Jun./Jul. 2003, p. 266.
    • (2003) Proc. IEEE Int. Symp. Information Theory , pp. 266
    • Méasson, C.1    Urbanke, R.2
  • 43
    • 0030110651 scopus 로고    scopus 로고
    • Iterative decoding of binary block and convolutional codes
    • Mar
    • J. Hagenauer, E. Offer, and L. Papke, "Iterative decoding of binary block and convolutional codes," IEEE Trans. Inf. Theory, vol. 42, no. 2, pp. 429-445, Mar. 1996.
    • (1996) IEEE Trans. Inf. Theory , vol.42 , Issue.2 , pp. 429-445
    • Hagenauer, J.1    Offer, E.2    Papke, L.3
  • 45
    • 17644404683 scopus 로고    scopus 로고
    • Gaussian Channels: Information, Estimation and Multiuser Detection,
    • Ph.D. dissertation, Princeton University, Preinceton, NJ
    • D. Guo, "Gaussian Channels: Information, Estimation and Multiuser Detection," Ph.D. dissertation, Princeton University, Preinceton, NJ, 2004.
    • (2004)
    • Guo, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.