메뉴 건너뛰기




Volumn 50, Issue 6, 2004, Pages 1115-1131

Asymptotic enumeration methods for analyzing LDPC codes

Author keywords

Binary erasure channel (BEC); Code ensembles; Code spectrum; Iterative decoding; Low density parity check (LDPC) codes

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMMUNICATION CHANNELS (INFORMATION THEORY); DECODING; GRAPH THEORY; POLYNOMIALS; PROBABILITY;

EID: 2942679339     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.828064     Document Type: Article
Times cited : (162)

References (27)
  • 1
    • 0004055894 scopus 로고    scopus 로고
    • Cambridge, U.K.: Cambridge Univ. Press; Also; to be published
    • S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004. Also, available [Online] at http://www.stanford.edu/~boyd/cvxbook.html, to be published.
    • (2004) Convex Optimization
    • Boyd, S.1    Vandenberghe, L.2
  • 2
    • 0035246481 scopus 로고    scopus 로고
    • Expander graph arguments for message passing algorithms
    • Feb.
    • D. Burhstein and G. Miller, "Expander graph arguments for message passing algorithms," IEEE Trans. Inform. Theory, vol. 47, pp. 782-790, Feb. 2001.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 782-790
    • Burhstein, D.1    Miller, G.2
  • 3
    • 0036160741 scopus 로고    scopus 로고
    • Bounds on the performance of belief propagation decoding
    • Jan.
    • ____, "Bounds on the performance of belief propagation decoding," IEEE Trans. Inform. Theory, vol. 48, pp. 112-122, Jan. 2002.
    • (2002) IEEE Trans. Inform. Theory , vol.48 , pp. 112-122
    • Burshtein, D.1    Miller, G.2
  • 5
    • 0001367156 scopus 로고
    • Saddlepoint approximations in statistics
    • H. E. Daniels, "Saddlepoint approximations in statistics," Ann. Math. Statist., vol. 25, pp. 631-650, 1954.
    • (1954) Ann. Math. Statist. , vol.25 , pp. 631-650
    • Daniels, H.E.1
  • 6
    • 0036612281 scopus 로고    scopus 로고
    • Finite-length analysis of low-density parity-check on the binary erasure channel
    • June
    • C. Di, D. Proietti, I. E. Teletar, T. Richardson, and R. Urbanke, "Finite-length analysis of low-density parity-check on the binary erasure channel," IEEE Trans. Inform. Theory, vol. 48, pp. 1570-1579, June 2002.
    • (2002) IEEE Trans. Inform. Theory , vol.48 , pp. 1570-1579
    • Di, C.1    Proietti, D.2    Teletar, I.E.3    Richardson, T.4    Urbanke, R.5
  • 8
    • 0038638458 scopus 로고
    • The average case analysis of algorithms: Saddle point asymptotics
    • P. Flajolet and R. Sedgewick. (1994) The Average Case Analysis of Algorithms: Saddle Point Asymptotics. [Online]. Available: http://citeseer.nj.nec.com
    • (1994)
    • Flajolet, P.1    Sedgewick, R.2
  • 9
    • 0003933819 scopus 로고    scopus 로고
    • The average case analysis of algorithms: Multivariate asymptotics and limit distributions
    • ____, (1997) The Average Case Analysis of Algorithms: Multivariate Asymptotics and Limit Distributions. [Online]. Available: http://citeseer.nj.nec.com.
    • (1997)
    • Flajolet, P.1    Sedgewick, R.2
  • 11
    • 0007468685 scopus 로고
    • Some results on the asymptotic behavior of coefficients of large powers of functions
    • D. Gardy, "Some results on the asymptotic behavior of coefficients of large powers of functions," Discr. Math., vol. 139, pp. 189-217, 1995.
    • (1995) Discr. Math. , vol.139 , pp. 189-217
    • Gardy, D.1
  • 12
    • 0002303732 scopus 로고
    • Saddle point methods for the multinomial distribution
    • I. J. Good, "Saddle point methods for the multinomial distribution," Ann. Math. Statist., vol. 28, pp. 861-881, 1957.
    • (1957) Ann. Math. Statist. , vol.28 , pp. 861-881
    • Good, I.J.1
  • 13
    • 0002121590 scopus 로고
    • A generalization of Stirling's formula
    • W. K. Hayman, "A generalization of Stirling's formula," J. Reine Angew. Math., vol. 196, pp. 67-95, 1956.
    • (1956) J. Reine Angew. Math. , vol.196 , pp. 67-95
    • Hayman, W.K.1
  • 14
    • 0036539259 scopus 로고    scopus 로고
    • On ensembles of low-density parity-check codes: Asymptotic distance distributions
    • Apr.
    • S. Litsyn and V. Shevelev, "On ensembles of low-density parity-check codes: Asymptotic distance distributions," IEEE Trans. Inform. Theory, vol. 48, pp. 887-908, Apr. 2002.
    • (2002) IEEE Trans. Inform. Theory , vol.48 , pp. 887-908
    • Litsyn, S.1    Shevelev, V.2
  • 15
    • 0347968063 scopus 로고    scopus 로고
    • Distance distributions in ensembles of irregular low-density parity-check codes
    • Dec.
    • ____, "Distance distributions in ensembles of irregular low-density parity-check codes," IEEE Trans. Inform. Theory, vol. 49, pp. 3140-3159, Dec. 2003.
    • (2003) IEEE Trans. Inform. Theory , vol.49 , pp. 3140-3159
    • Litsyn, S.1    Shevelev, V.2
  • 18
    • 0035504686 scopus 로고    scopus 로고
    • Bounds on the maximum-likelihood decoding error probability of low-density parity-check codes
    • Nov.
    • G. Miller and D. Burshtein, "Bounds on the maximum-likelihood decoding error probability of low-density parity-check codes," IEEE Trans. Inform. Theory, vol. 47, pp. 2696-2710, Nov. 2001.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 2696-2710
    • Miller, G.1    Burshtein, D.2
  • 19
    • 0028462704 scopus 로고
    • Bounds on the decoding error probability of binary linear codes via their spectra
    • July
    • G. Poltyrev, "Bounds on the decoding error probability of binary linear codes via their spectra," IEEE Trans. Inform. Theory, vol. 40, pp. 1284-1292, July 1994.
    • (1994) IEEE Trans. Inform. Theory , vol.40 , pp. 1284-1292
    • Poltyrev, G.1
  • 20
    • 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. Inform. Theory, vol. 47, pp. 599-618, Feb. 2001.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 599-618
    • Richardson, T.1    Urbanke, R.2
  • 21
    • 0035246320 scopus 로고    scopus 로고
    • Efficient encoding of low-density parity-check codes
    • Feb.
    • ____, "Efficient encoding of low-density parity-check codes," IEEE Trans. Inform. Theory, vol. 47, pp. 638-656, Feb. 2001.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 638-656
    • Richardson, T.1    Urbanke, R.2
  • 22
    • 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. Inform. Theory, vol. 47, pp. 619-637, Feb. 2001.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 619-637
    • Richardson, T.1    Shokrollahi, A.2    Urbanke, R.3
  • 23
    • 0035442510 scopus 로고    scopus 로고
    • On improved bounds on the decoding error probability of block codes over interleaved fading channels, with applications to turbo-like codes
    • Sept.
    • I. Sason and S. Shimai (Shitz), "On improved bounds on the decoding error probability of block codes over interleaved fading channels, with applications to turbo-like codes," IEEE Trans. Inform. Theory, vol. 47, pp. 2275-2299, Sept. 2001.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 2275-2299
    • Sason, I.1    Shimai, S.2
  • 25
    • 0033184693 scopus 로고    scopus 로고
    • Random coding techniques for nonrandom codes
    • Sept.
    • N. Shulman and M. Feder, "Random coding techniques for nonrandom codes," IEEE Trans. Inform. Theory, vol. 45, pp. 2101-2104, Sept. 1999.
    • (1999) IEEE Trans. Inform. Theory , vol.45 , pp. 2101-2104
    • Shulman, N.1    Feder, M.2
  • 27
    • 0019608335 scopus 로고
    • A recursive approach to low complexity codes
    • Sept.
    • R. M. Tanner, "A recursive approach to low complexity codes," IEEE Trans. Inform. Theory, vol. IT-27, pp. 533-547, Sept. 1981.
    • (1981) IEEE Trans. Inform. Theory , vol.IT-27 , pp. 533-547
    • Tanner, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.