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Volumn 52, Issue 2, 2006, Pages 549-583

Design and analysis of nonbinary LDPC codes for arbitrary discrete-memoryless channels

Author keywords

Bandwidth efficient coding; Coset codes; Iterative decoding; Low density parity check (LDPC) codes

Indexed keywords

APPROXIMATION THEORY; BANDWIDTH; COMPUTER SIMULATION; DECODING; INTERSYMBOL INTERFERENCE; ITERATIVE METHODS; POLYNOMIALS; PROBABILITY; VECTORS; WHITE NOISE;

EID: 31844454918     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2005.862080     Document Type: Article
Times cited : (233)

References (39)
  • 1
    • 1842481669 scopus 로고    scopus 로고
    • "On the application of a LDPC codes to arbitrary discrete-memoryless channels"
    • Mar
    • A. Bennatan and D. Burshtein, "On the application of a LDPC codes to arbitrary discrete-memoryless channels," IEEE Trans. Inf. Theory, vol. 50, no. 3, pp. 417-438, Mar. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.3 , pp. 417-438
    • Bennatan, A.1    Burshtein, D.2
  • 3
  • 4
    • 31844447688 scopus 로고    scopus 로고
    • Matlab Source Code for EXIT Charts. [Online]. Available
    • Matlab Source Code for EXIT Charts. [Online]. Available: http://www.eng. tau.ac.il/~burstyn/publications.htm
  • 6
    • 0036160741 scopus 로고    scopus 로고
    • "Bounds on the performance of belief propagation decoding"
    • Jan
    • D. Burshtein and G. Miller, "Bounds on the performance of belief propagation decoding," IEEE Trans. Inf. Theory, vol. 48, no. 1, pp. 112-122, Jan. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.1 , pp. 112-122
    • Burshtein, D.1    Miller, G.2
  • 7
    • 0032072372 scopus 로고    scopus 로고
    • "Bit-interleaved coded modulation"
    • May
    • G. Caire, G. Taricco, and E. Biglieri, "Bit-interleaved coded modulation," IEEE Trans. Inf. Theory, vol. 44, no. 3, pp. 927-946, May 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.44 , Issue.3 , pp. 927-946
    • Caire, G.1    Taricco, G.2    Biglieri, E.3
  • 8
    • 0035248618 scopus 로고    scopus 로고
    • "On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit"
    • Feb
    • S.-Y. Chung, J. G. D. Forney, T. Richardson, and R. Urbanke, "On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit," IEEE Commun. Lett., vol. 5, no. 2, pp. 58-60, Feb. 2001.
    • (2001) IEEE Commun. Lett. , vol.5 , Issue.2 , pp. 58-60
    • Chung, S.-Y.1    Forney, J.G.D.2    Richardson, T.3    Urbanke, R.4
  • 9
    • 0035246128 scopus 로고    scopus 로고
    • "Analysis of sum-product decoding of low-density parity-check codes using a Gaussian approximation"
    • Feb
    • S.-Y. Chung, T. J. Richardson, and R. L. Urbanke, "Analysis of sum-product decoding of low-density parity-check codes using a Gaussian approximation," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 657-670, Feb. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.2 , pp. 657-670
    • Chung, S.-Y.1    Richardson, T.J.2    Urbanke, R.L.3
  • 10
    • 0032099205 scopus 로고    scopus 로고
    • "Low-density parity check codes over GF(q)"
    • Jun
    • M. C. Davey and D. MacKay, "Low-density parity check codes over GF(q)," IEEE Commun. Lett., vol. 2, no. 6, pp. 165-167, Jun. 1998.
    • (1998) IEEE Commun. Lett. , vol.2 , Issue.6 , pp. 165-167
    • Davey, M.C.1    MacKay, D.2
  • 12
    • 0001807543 scopus 로고
    • "Coding for noisy channels"
    • Mar
    • P. Elias, "Coding for noisy channels," in IRE Conv. Rec., vol. 3, Mar. 1955, pp. 37-46.
    • (1955) IRE Conv. Rec. , vol.3 , pp. 37-46
    • Elias, P.1
  • 13
    • 0032184595 scopus 로고    scopus 로고
    • "Modulation and coding for linear Gaussian channels"
    • Oct
    • G. D. Forney Jr. and G. Ungerboeck, "Modulation and coding for linear Gaussian channels," IEEE Trans. Inf. Theory, vol. 44, no. 6, pp. 2384-2415, Oct. 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.44 , Issue.6 , pp. 2384-2415
    • Forney Jr., G.D.1    Ungerboeck, G.2
  • 15
    • 0035246366 scopus 로고    scopus 로고
    • "Signal-space characterization of iterative decoding"
    • Feb
    • B. J. Frey, R. Koetter, and A. Vardy, "Signal-space characterization of iterative decoding," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 766-781, Feb. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.2 , pp. 766-781
    • Frey, B.J.1    Koetter, R.2    Vardy, A.3
  • 18
    • 0041779659 scopus 로고    scopus 로고
    • "Capacity-approaching bandwidth-efficient coded modulation schemes based on low-density parity-check codes"
    • Sep
    • J. Hou, P. H. Siegel, L. B. Milstein, and H. D. Pfister, "Capacity-approaching bandwidth-efficient coded modulation schemes based on low-density parity-check codes," IEEE Trans. Inf. Theory, vol. 49, no. 9, pp. 2141-2155, Sep. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.9 , pp. 2141-2155
    • Hou, J.1    Siegel, P.H.2    Milstein, L.B.3    Pfister, H.D.4
  • 19
    • 0038444544 scopus 로고    scopus 로고
    • "Binary intersymbol interference channels: Gallager codes, density evolution and code performance bounds"
    • Jul
    • A. Kavčić, X. Ma, and M. Mitzenmacher, "Binary intersymbol interference channels: Gallager codes, density evolution and code performance bounds," IEEE Trans. Inf. Theory, vol. 49, no. 7, pp. 1636-1652, Jul. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.7 , pp. 1636-1652
    • Kavčić, A.1    Ma, X.2    Mitzenmacher, M.3
  • 20
    • 0037749906 scopus 로고    scopus 로고
    • "Graph-Based Codes and Iterative Decoding"
    • Ph.D. dissertation, Calif. Inst. Technol., Pasadena, CA. Available: [Online] at
    • A. Khandekar, "Graph-Based Codes and Iterative Decoding," Ph.D. dissertation, Calif. Inst. Technol., Pasadena, CA. Available: [Online] at http://etd.caltech.edu.
    • Khandekar, A.1
  • 21
    • 0035246564 scopus 로고    scopus 로고
    • "Factor graphs and the sum-product algorithm"
    • Feb
    • F. R. Kschischang, B. J. Frey, and H.-A. Loeliger, "Factor graphs and the sum-product algorithm," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 498-519, Feb. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.2 , pp. 498-519
    • Kschischang, F.R.1    Frey, B.J.2    Loeliger, H.-A.3
  • 22
    • 0141938933 scopus 로고    scopus 로고
    • "Analysis of nonbinary LDPC codes using Gaussian approximation"
    • Yokohama, Japan, Jun/Jul
    • G. Li, I. J. Fair, and W. A. Krzymień, "Analysis of nonbinary LDPC codes using Gaussian approximation," in Proc. IEEE Int. Symp. Information Theory, Yokohama, Japan, Jun/Jul. 2003, p. 234.
    • (2003) Proc. IEEE Int. Symp. Information Theory , pp. 234
    • Li, G.1    Fair, I.J.2    Krzymień, W.A.3
  • 24
    • 0035246580 scopus 로고    scopus 로고
    • "Improved low-density parity-check codes using irregular graphs"
    • Feb
    • M. G. Luby, M. Mitzenmacher, M. 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.G.1    Mitzenmacher, M.2    Shokrollahi, M.A.3    Spielman, D.A.4
  • 25
    • 0037764346 scopus 로고    scopus 로고
    • "Are turbo-codes effective on nonstandard channels?"
    • Dec
    • R. J. McEliece, "Are turbo-codes effective on nonstandard channels?," IEEE Information Theory Society Newsletter, vol. 51, no. 4, pp. 1-8, Dec. 2001.
    • (2001) IEEE Information Theory Society Newsletter , vol.51 , Issue.4 , pp. 1-8
    • McEliece, R.J.1
  • 26
    • 51849115258 scopus 로고    scopus 로고
    • "Sparse low-density parity-check codes for channels with cross-talk"
    • Paris, France, Mar/Apr
    • E. A. Ratzer and D. J. C. MacKay, "Sparse low-density parity-check codes for channels with cross-talk," in Proc. ITW2003, Paris, France, Mar/Apr. 2003.
    • (2003) Proc. ITW2003
    • Ratzer, E.A.1    MacKay, D.J.C.2
  • 27
    • 0035246320 scopus 로고    scopus 로고
    • "Efficient encoding of low-density parity-check codes"
    • Feb
    • T. Richardson and R. Urbanke, "Efficient encoding of low-density parity-check codes," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 638-656, Feb. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.2 , pp. 638-656
    • Richardson, T.1    Urbanke, R.2
  • 28
    • 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
  • 29
    • 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
  • 30
    • 0031996387 scopus 로고    scopus 로고
    • "Bandwidth-efficient turbo trellis-coded modulation using punctured component codes"
    • Feb
    • P. Robertson and T. Wörz, "Bandwidth-efficient turbo trellis-coded modulation using punctured component codes," IEEE J. Sel. Areas Commun., vol. 16, no. 2, pp. 206-218, Feb. 1998.
    • (1998) IEEE J. Sel. Areas Commun. , vol.16 , Issue.2 , pp. 206-218
    • Robertson, P.1    Wörz, T.2
  • 33
    • 0027659810 scopus 로고
    • "Approaching capacity by equiprobable signaling on the Gaussian channel"
    • Sep
    • F.-W. Sun and H. C. A. van Tilborg, "Approaching capacity by equiprobable signaling on the Gaussian channel," IEEE Trans. Inf. Theory, vol. 39, no. 5, pp. 1714-1716, Sep. 1993.
    • (1993) IEEE Trans. Inf. Theory , vol.39 , Issue.5 , pp. 1714-1716
    • Sun, F.-W.1    van Tilborg, H.C.A.2
  • 34
    • 0019608335 scopus 로고
    • "A recursive approach to low complexity codes"
    • IT-27 Sep
    • R. M. Tanner, "A recursive approach to low complexity codes," IEEE Trans. Inf. Theory, vol. IT-27, no. 5, pp. 533-547, Sep. 1981.
    • (1981) IEEE Trans. Inf. Theory , Issue.5 , pp. 533-547
    • Tanner, R.M.1
  • 35
    • 2442530858 scopus 로고    scopus 로고
    • "Design of low-density parity-check codes for modulation and detection"
    • Apr
    • S. ten Brink, G. Kramer, and A. Ashikhmin, "Design of low-density parity-check codes for modulation and detection," IEEE Trans. Commun., vol. 52, no. 4, pp. 670-678, Apr. 2004.
    • (2004) IEEE Trans. Commun. , vol.52 , Issue.4 , pp. 670-678
    • ten Brink, S.1    Kramer, G.2    Ashikhmin, A.3
  • 36
    • 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
  • 37
    • 0037967646 scopus 로고    scopus 로고
    • "Iteratively decodable codes for bridging the shaping gap in communications channels"
    • Pacific Grove, CA, Nov
    • N. Varnica, X. Ma, and A. Kavčić, "Iteratively decodable codes for bridging the shaping gap in communications channels," in Proc. Asilomar Conf. Signals, Systems and Computers, Pacific Grove, CA, Nov. 2002.
    • (2002) Proc. Asilomar Conf. Signals, Systems and Computers
    • Varnica, N.1    Ma, X.2    Kavčić, A.3
  • 38
    • 29144443942 scopus 로고    scopus 로고
    • "Density evolution for asymmetric channels"
    • Dec
    • C. C. Wang, S. R. Kulkarni, and H. V. Poor, "Density evolution for asymmetric channels," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4216-4236, Dec. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , Issue.12 , pp. 4216-4236
    • Wang, C.C.1    Kulkarni, S.R.2    Poor, H.V.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.