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Volumn 57, Issue 2, 2011, Pages 835-857

Deriving good LDPC convolutional codes from LDPC block codes

Author keywords

Block codes; convolutional codes; low density parity check (LDPC) codes; message passing iterative; pseudocodewords; pseudoweights; quasi cyclic codes; unwrapping; wrapping decoding

Indexed keywords

LOW-DENSITY PARITY-CHECK CODES; PSEUDOCODEWORDS; PSEUDOWEIGHTS; QUASICYCLIC CODES; UNWRAPPING; WRAPPING DECODING;

EID: 79251488775     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2010.2095211     Document Type: Article
Times cited : (129)

References (58)
  • 1
    • 0027297425 scopus 로고
    • Near Shannon limit error correcting coding and decoding: Turbo codes
    • Geneva, Switzerland, May
    • C. Berrou, A. Glavieux, and P. Thitimajshima, "Near Shannon limit error correcting coding and decoding: Turbo codes," in Proc. IEEE Int. Conf. Commun., Geneva, Switzerland, May 1993, pp. 1064-1070.
    • (1993) Proc. IEEE Int. Conf. Commun. , pp. 1064-1070
    • Berrou, C.1    Glavieux, A.2    Thitimajshima, P.3
  • 2
    • 84925405668 scopus 로고
    • Low-density parity-check codes
    • Jan.
    • R. G. Gallager, "Low-density parity-check codes," IRE Trans. Inf. Theory, vol. 8, no. 1, pp. 21-28, Jan. 1962.
    • (1962) IRE Trans. Inf. Theory , vol.8 , Issue.1 , pp. 21-28
    • Gallager, R.G.1
  • 3
    • 0003846836 scopus 로고    scopus 로고
    • Ph.D. dissertation Dept. Electr. Eng., Linköping Univ., Linköping, Sweden
    • N. Wiberg, "Codes and decoding on general graphs," Ph.D. dissertation, Dept. Electr. Eng., Linköping Univ., Linköping, Sweden, 1996.
    • (1996) Codes and Decoding on General Graphs
    • Wiberg, N.1
  • 4
    • 0030219216 scopus 로고    scopus 로고
    • Near Shannon limit performance of low density parity check codes
    • Aug.
    • D. J. C. MacKay and R. M. Neal, "Near Shannon limit performance of low density parity check codes," Electron. Lett., vol. 32, no. 18, pp. 1645-1646, Aug. 1996.
    • (1996) Electron. Lett. , vol.32 , Issue.18 , pp. 1645-1646
    • MacKay, D.J.C.1    Neal, R.M.2
  • 7
    • 0035246128 scopus 로고    scopus 로고
    • Analysis of sumproduct decoding of low-density parity-check codes using a Gaussian approximation
    • Feb.
    • S. Y. Chung, T. J. Richardson, and R. L. Urbanke, "Analysis of sumproduct 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
  • 8
    • 0035246307 scopus 로고    scopus 로고
    • The capacity of low-density parity-check codes under message-passing decoding
    • Feb.
    • T. J. Richardson and R. L. 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.J.1    Urbanke, R.L.2
  • 9
    • 0019608335 scopus 로고
    • A recursive approach to low complexity codes
    • 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 , vol.IT-27 , Issue.5 , pp. 533-547
    • Tanner, R.M.1
  • 10
    • 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, G. D. Forney, Jr., T. J. Richardson, and R. L. Urbanke, "On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit," IEEECommun.Lett., vol. 5, no. 2, pp. 58-60, Feb. 2001.
    • (2001) IEEECommun.Lett. , vol.5 , Issue.2 , pp. 58-60
    • Chung, S.Y.1    Forney Jr., G.D.2    Richardson, T.J.3    Urbanke, R.L.4
  • 11
    • 0035246127 scopus 로고    scopus 로고
    • Design of capacity-approaching irregular low-density parity-check codes
    • Feb.
    • T. J. Richardson, M. A. Shokrollahi, and R. L. 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.J.1    Shokrollahi, M.A.2    Urbanke, R.L.3
  • 12
    • 0036913621 scopus 로고    scopus 로고
    • Capacity-achieving sequences for the erasure channel
    • Dec.
    • P. Oswald and A. Shokrollahi, "Capacity-achieving sequences for the erasure channel," IEEE Trans. Inf. Theory, vol. 48, no. 12, pp. 3017-3028, Dec. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.12 , pp. 3017-3028
    • Oswald, P.1    Shokrollahi, A.2
  • 13
    • 33749386596 scopus 로고    scopus 로고
    • Termination sequence generation circuits for low-density parity-check convolutional codes
    • DOI 10.1109/TCSI.2006.880313
    • S. Bates, D. Elliot, and R. Swamy, "Termination sequence generation circuits for low-density parity-check convolutional codes," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 53, no. 9, pp. 1909-1917, Sep. 2006. (Pubitemid 44500797)
    • (2006) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.53 , Issue.9 , pp. 1909-1917
    • Bates, S.1    Elliott, D.G.2    Swamy, R.3
  • 14
  • 19
    • 0033184966 scopus 로고    scopus 로고
    • Time-varying periodic convolutional codes with low-density parity-check matrix
    • Sep.
    • A. Jiménez-Feltström and K. Sh. Zigangirov, "Time-varying periodic convolutional codes with low-density parity-check matrix," IEEE Trans. Inf. Theory, vol. 45, no. 6, pp. 2181-2191, Sep. 1999.
    • (1999) IEEE Trans. Inf. Theory , vol.45 , Issue.6 , pp. 2181-2191
    • Jiménez-Feltström, A.1    Zigangirov, K.Sh.2
  • 20
    • 10644253226 scopus 로고    scopus 로고
    • On quasi-cyclic repeat-accumulate codes
    • Monticello, IL Sep. 22-24
    • R. M. Tanner, "On quasi-cyclic repeat-accumulate codes," in Proc. 37th Allerton Conf. Commun. Control Comput., Monticello, IL, Sep. 22-24, 1999, pp. 249-259.
    • (1999) Proc. 37th Allerton Conf. Commun. Control Comput. , pp. 249-259
    • Tanner, R.M.1
  • 21
    • 5044246358 scopus 로고    scopus 로고
    • Low-density parity-check (LDPC) codes constructed from protographs
    • Aug.
    • J. Thorpe, "Low-density parity-check (LDPC) codes constructed from protographs," JPL INP Progr. Rep., Aug. 2003, pp. 42-154.
    • (2003) JPL INP Progr. Rep. , pp. 42-154
    • Thorpe, J.1
  • 22
    • 5044250397 scopus 로고    scopus 로고
    • Graph covers and iterative decoding of finite-length codes
    • Brest, France, Sep. 1-5
    • R. Koetter and P. O. Vontobel, "Graph covers and iterative decoding of finite-length codes," in Proc. 3rd Int. Symp. Turbo Codes Related Topics, Brest, France, Sep. 1-5, 2003, pp. 75-82.
    • (2003) Proc. 3rd Int. Symp. Turbo Codes Related Topics , pp. 75-82
    • Koetter, R.1    Vontobel, P.O.2
  • 24
    • 42549144119 scopus 로고    scopus 로고
    • Construction of irregular LDPC codes with fast encoding
    • Istanbul, Turkey, Jun. 11-15
    • A. E. Pusane, K. Sh. Zigangirov, and D. J. Costello, Jr., "Construction of irregular LDPC codes with fast encoding," in Proc. IEEE Int. Conf. Commun., Istanbul, Turkey, Jun. 11-15, 2006, vol. 3, pp. 1160-1165.
    • (2006) Proc. IEEE Int. Conf. Commun. , vol.3 , pp. 1160-1165
    • Pusane, A.E.1    Zigangirov, K.Sh.2    Costello Jr., D.J.3
  • 25
    • 31344477491 scopus 로고    scopus 로고
    • Efficient encoding of quasi-cyclic low-density parity-check codes
    • Jan.
    • L. Zongwang, C. Lei, Z. Lingqi, S. Lin, and W. H. Fong, "Efficient encoding of quasi-cyclic low-density parity-check codes," IEEE Trans. Commun., vol. 54, no. 1, pp. 71-81, Jan. 2006.
    • (2006) IEEE Trans. Commun. , vol.54 , Issue.1 , pp. 71-81
    • Zongwang, L.1    Lei, C.2    Lingqi, Z.3    Lin, S.4    Fong, W.H.5
  • 26
    • 0035246320 scopus 로고    scopus 로고
    • Efficient encoding of low-density parity-check codes
    • Feb.
    • T. J. Richardson and R. L. 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.J.1    Urbanke, R.L.2
  • 32
    • 0031673621 scopus 로고    scopus 로고
    • A link between quasi-cyclic codes and convolutional codes
    • Jan.
    • M. Esmaeili, T. A. Gulliver, N. P. Secord, and S. A. Mahmoud, "A link between quasi-cyclic codes and convolutional codes," IEEE Trans. Inf. Theory, vol. 44, no. 1, pp. 431-435, Jan. 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.44 , Issue.1 , pp. 431-435
    • Esmaeili, M.1    Gulliver, T.A.2    Secord, N.P.3    Mahmoud, S.A.4
  • 33
    • 0030585874 scopus 로고    scopus 로고
    • Zeta functions of finite graphs and coverings
    • Jul.
    • H. M. Stark and A. A. Terras, "Zeta functions of finite graphs and coverings," Adv. Math., vol. 121, no. 1, pp. 124-165, Jul. 1996.
    • (1996) Adv. Math. , vol.121 , Issue.1 , pp. 124-165
    • Stark, H.M.1    Terras, A.A.2
  • 35
    • 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
  • 36
    • 66949115693 scopus 로고    scopus 로고
    • Pseudo-codeword performance analysis of LDPC convolutional codes
    • Jun.
    • R. Smarandache, A. E. Pusane, P. O. Vontobel, and D. J. Costello, Jr., "Pseudo-codeword performance analysis of LDPC convolutional codes," IEEE Trans. Inf. Theory, vol. 55, no. 6, pp. 2577-2598, Jun. 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.6 , pp. 2577-2598
    • Smarandache, R.1    Pusane, A.E.2    Vontobel, P.O.3    Costello Jr., D.J.4
  • 37
    • 0003309175 scopus 로고    scopus 로고
    • A [155, 64, 20] sparse graph (LDPC) code
    • Sorrento, Italy, Jun.
    • R. M. Tanner, "A [155, 64, 20] sparse graph (LDPC) code," presented at the IEEE Int. Symp. Inf. Theory, Sorrento, Italy, Jun. 2000.
    • (2000) IEEE Int. Symp. Inf. Theory
    • Tanner, R.M.1
  • 41
    • 48049086496 scopus 로고    scopus 로고
    • A comparison of ARA- and protograph-based LDPC block and convolutional codes
    • San Diego, CA, Jan. 29-Feb.2
    • D. J. Costello, Jr., A. E. Pusane, C. R. Jones, and D. Divsalar, "A comparison of ARA- and protograph-based LDPC block and convolutional codes," in Proc. Inf. Theory Appl. Workshop, San Diego, CA, Jan. 29-Feb. 2 2007, pp. 111-119.
    • (2007) Proc. Inf. Theory Appl. Workshop , pp. 111-119
    • Costello Jr., D.J.1    Pusane, A.E.2    Jones, C.R.3    Divsalar, D.4
  • 43
    • 33846629974 scopus 로고    scopus 로고
    • Protograph based LDPC codes with minimum distance linearly growing with block size
    • DOI 10.1109/GLOCOM.2005.1577834, 1577834, GLOBECOM'05: IEEE Global Telecommunications Conference, 2005
    • D. Divsalar, C. R. Jones, S. Dolinar, and J. Thorpe, "Protograph based LDPC codes with minimum distance linearly growing with block size," in Proc. IEEE Global Telecommun. Conf., St. Louis, MO, Nov. 28-Dec. 5 2005, vol. 3, DOI: 10.1109/GLOCOM.2005.1577834. (Pubitemid 46171310)
    • (2005) GLOBECOM - IEEE Global Telecommunications Conference , vol.3 , pp. 1152-1156
    • Divsalar, D.1    Jones, C.2    Dolinar, S.3    Thorpe, J.4
  • 44
    • 48849093765 scopus 로고    scopus 로고
    • Eliminating trapping sets in low-density parity-check codes by using Tanner graph covers
    • Aug.
    • M. Ivkovic, S. K. Chilappagari, and B. Vasic, "Eliminating trapping sets in low-density parity-check codes by using Tanner graph covers," IEEE Trans. Inf. Theory, vol. 54, no. 8, pp. 3763-3768, Aug. 2008.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , Issue.8 , pp. 3763-3768
    • Ivkovic, M.1    Chilappagari, S.K.2    Vasic, B.3
  • 45
    • 79251480797 scopus 로고    scopus 로고
    • Low density parity check codes for use in near-earth and deep space applications
    • The Consultative Committee for Space Data Systems (CCSDS) Sep.
    • The Consultative Committee for Space Data Systems (CCSDS), "Low density parity check codes for use in near-earth and deep space applications," Experimental Specification CCSDS 131.1-O-2, Sep. 2007 [Online]. Available: http://public.ccsds.org/publications/ archive/131x1o2e2.pdf
    • (2007) Experimental Specification CCSDS 131.1-O-2
  • 47
    • 77952684894 scopus 로고    scopus 로고
    • Asymptotically regular LDPC codes with linear distance growth and thresholds close to capacity
    • San Diego, CA, Jan. 31-Feb. 5, DOI: 10.1109/ITA.2010.5454141
    • M. Lentmaier, D. G.M.Mitchell, G. P. Fettweis, and D. J. Costello, Jr., "Asymptotically regular LDPC codes with linear distance growth and thresholds close to capacity," in Proc. Inf. Theory Appl. Workshop, San Diego, CA, Jan. 31-Feb. 5 2010, DOI: 10.1109/ITA.2010.5454141.
    • (2010) Proc. Inf. Theory Appl. Workshop
    • Lentmaier, M.1    Mitchell, D.G.M.2    Fettweis, G.P.3    Costello Jr., D.J.4
  • 48
    • 79251496645 scopus 로고    scopus 로고
    • Threshold saturation via spatial coupling: Why convolutional LDPC ensembles perform so well over the BEC
    • Feb.
    • S. Kudekar, T. Richardson, and R. Urbanke, "Threshold saturation via spatial coupling: Why convolutional LDPC ensembles perform so well over the BEC," IEEE Trans. Inf. Theory, vol. 57, no. 2, Feb. 2011.
    • (2011) IEEE Trans. Inf. Theory , vol.57 , Issue.2
    • Kudekar, S.1    Richardson, T.2    Urbanke, R.3
  • 49
    • 70449470477 scopus 로고    scopus 로고
    • Quasi-cyclic LDPC codes: Influence of proto- and Tanner-graph structure on minimum Hamming distance upper bounds
    • Jan., submitted for publication
    • R. Smarandache and P. O. Vontobel, "Quasi-cyclic LDPC codes: Influence of proto- and Tanner-graph structure on minimum Hamming distance upper bounds," IEEE Trans. Inf. Theory Jan. 2009 [Online]. Available: http://arxiv.org/abs/0901.4129, submitted for publication
    • (2009) IEEE Trans. Inf. Theory
    • Smarandache, R.1    Vontobel, P.O.2
  • 50
    • 77955697729 scopus 로고    scopus 로고
    • On distance properties of quasi-cyclic protograph-based LDPC codes
    • Austin, TX, Jun. 13-18
    • B. K. Butler and P. H. Siegel, "On distance properties of quasi-cyclic protograph-based LDPC codes," in Proc. IEEE Int. Symp. Inf. Theory, Austin, TX, Jun. 13-18, 2010, pp. 809-813.
    • (2010) Proc. IEEE Int. Symp. Inf. Theory , pp. 809-813
    • Butler, B.K.1    Siegel, P.H.2
  • 51
    • 77955701966 scopus 로고    scopus 로고
    • Iterative decoding threshold analysis for LDPC convolutional codes
    • Oct.
    • M. Lentmaier, A. Sridharan, D. J. Costello, Jr., and K. S. Zigangirov, "Iterative decoding threshold analysis for LDPC convolutional codes," IEEE Trans. Inf. Theory, vol. 56, no. 10, pp. 5274-5289, Oct. 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.10 , pp. 5274-5289
    • Lentmaier, M.1    Sridharan, A.2    Costello Jr., D.J.3    Zigangirov, K.S.4
  • 52
    • 4444318644 scopus 로고    scopus 로고
    • Selective avoidance of cycles in irregular LDPC code construction
    • Aug.
    • T. Tian, C. R. Jones, J. D. Villasenor, and R. D. Wesel, "Selective avoidance of cycles in irregular LDPC code construction," IEEE Trans. Commun., vol. 52, no. 8, pp. 1242-1247, Aug. 2004.
    • (2004) IEEE Trans. Commun. , vol.52 , Issue.8 , pp. 1242-1247
    • Tian, T.1    Jones, C.R.2    Villasenor, J.D.3    Wesel, R.D.4
  • 53
    • 5044246143 scopus 로고    scopus 로고
    • Analysis of an algorithm for irregular LDPC code construction
    • Chicago IL, Jun. 27-Jul. 2, DOI: 10.1109/ISIT.2004.1365107
    • A. Ramamoorthy and R. D.Wesel, "Analysis of an algorithm for irregular LDPC code construction," in Proc. IEEE Int. Symp. Inf. Theory, Chicago, IL, Jun. 27-Jul. 2 2004, DOI: 10.1109/ISIT.2004.1365107.
    • (2004) Proc. IEEE Int. Symp. Inf. Theory
    • Ramamoorthy, A.1    Wesel, R.D.2
  • 54
    • 2642581618 scopus 로고    scopus 로고
    • Ph.D. dissertation, Dept. Electr. Eng. Comput. Sci., Massachusetts Inst. Technol., Cambridge, MA
    • J. Feldman, "Decoding error-correcting codes via linear programming," Ph.D. dissertation, Dept. Electr. Eng. Comput. Sci., Massachusetts Inst. Technol., Cambridge, MA, 2003.
    • (2003) Decoding Error-correcting Codes Via Linear Programming
    • Feldman, J.1
  • 55
    • 15044355718 scopus 로고    scopus 로고
    • Using linear programming to decode binary linear codes
    • Mar.
    • J. Feldman, M. J. Wainwright, and D. R. Karger, "Using linear programming to decode binary linear codes," IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 954-972, Mar. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , Issue.3 , pp. 954-972
    • Feldman, J.1    Wainwright, M.J.2    Karger, D.R.3
  • 57
    • 36348999345 scopus 로고    scopus 로고
    • Pseudocodewords of Tanner graphs
    • Nov.
    • C. A. Kelley and D. Sridhara, "Pseudocodewords of Tanner graphs," IEEE Trans. Inf. Theory, vol. 53, no. 11, pp. 4013-4038, Nov. 2007.
    • (2007) IEEE Trans. Inf. Theory , vol.53 , Issue.11 , pp. 4013-4038
    • Kelley, C.A.1    Sridhara, D.2
  • 58
    • 0008117743 scopus 로고    scopus 로고
    • On the effective weights of pseudocodewords for codes defined on graphs with cycles
    • B. Marcus and J. Rosenthal, Eds. New York: Springer-Verlag
    • G. D. Forney, Jr., R. Koetter, F. Kschischang, and A. Reznik, "On the effective weights of pseudocodewords for codes defined on graphs with cycles," in Codes, Systems, and Graphical Models, B. Marcus and J. Rosenthal, Eds. New York: Springer-Verlag, 2001, vol. 123, pp. 101-112.
    • (2001) Codes, Systems, and Graphical Models , vol.123 , pp. 101-112
    • Forney Jr., G.D.1    Koetter, R.2    Kschischang, F.3    Reznik, A.4


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