메뉴 건너뛰기




Volumn 52, Issue 4, 2006, Pages 1366-1384

Nonlinear dynamics of iterative decoding systems: Analysis and applications

Author keywords

Bifurcation theory; Chaos; Dynamical systems; Iterative decoding; Low density parity check codes; Product codes; Turbo codes

Indexed keywords

ADAPTIVE ALGORITHMS; BIFURCATION (MATHEMATICS); CHAOS THEORY; DYNAMICS; ITERATIVE METHODS; NONLINEAR SYSTEMS; SIGNAL TO NOISE RATIO; TURBO CODES;

EID: 33645713194     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2006.871054     Document Type: Article
Times cited : (29)

References (32)
  • 1
    • 0035246120 scopus 로고    scopus 로고
    • "The turbo decoding algorithm and its phase trajectories"
    • Feb
    • D. Agrawal and A. Vardy, "The turbo decoding algorithm and its phase trajectories," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 699-722, Feb. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.2 , pp. 699-722
    • Agrawal, D.1    Vardy, A.2
  • 2
    • 0032072269 scopus 로고    scopus 로고
    • "Serial concatenation of interleaved codes: Performance analysis, design, and iterative decoding"
    • May
    • S. Benedetto, D. Divsalar, G. Montorsi, and F. Pollara, "Serial concatenation of interleaved codes: Performance analysis, design, and iterative decoding," IEEE Trans. Inf. Theory, vol. 44, no. 3, pp. 909-926, May 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.44 , Issue.3 , pp. 909-926
    • Benedetto, S.1    Divsalar, D.2    Montorsi, G.3    Pollara, F.4
  • 3
    • 0042420346 scopus 로고    scopus 로고
    • "The ten-year-old turbo codes are entering into service"
    • Aug
    • C. Berrou, "The ten-year-old turbo codes are entering into service," IEEE Commun. Mag., vol. 41, pp. 110-116, Aug. 2003.
    • (2003) IEEE Commun. Mag. , vol.41 , pp. 110-116
    • Berrou, C.1
  • 4
    • 0027297425 scopus 로고
    • "Near Shannon limit error-correcting coding and decoding: Turbo codes"
    • Geneva, Switzerland
    • C. Berrou, A. Glavieux, and P. Thitimajshima, "Near Shannon limit error-correcting coding and decoding: Turbo codes," in Proc. IEEE Int. Conf. Communications, Geneva, Switzerland, 1993, pp. 1064-70.
    • (1993) Proc. IEEE Int. Conf. Communications , pp. 1064-1070
    • Berrou, C.1    Glavieux, A.2    Thitimajshima, P.3
  • 5
    • 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
  • 6
    • 84941515481 scopus 로고
    • "A class of algorithms for decoding block codes with channel measurement information"
    • Jan
    • D. Chase, "A class of algorithms for decoding block codes with channel measurement information," IEEE Trans. Inf. Theory, vol. IT-18, no. 1, pp. 170-182, Jan. 1972.
    • (1972) IEEE Trans. Inf. Theory , vol.IT-18 , Issue.1 , pp. 170-182
    • Chase, D.1
  • 7
    • 0033074344 scopus 로고    scopus 로고
    • "Controlling transient chaos in deterministic flows with applications to electrical power systems and ecology"
    • Feb
    • M. Dhamala and Y.-C. Lai, "Controlling transient chaos in deterministic flows with applications to electrical power systems and ecology," Phys. Rev. E, vol. 59, pp. 1646-1655, Feb. 1999.
    • (1999) Phys. Rev. E , vol.59 , pp. 1646-1655
    • Dhamala, M.1    Lai, Y.-C.2
  • 8
    • 0002203214 scopus 로고
    • "Weight distribution for turbo codes using random and nonrandom permutations"
    • Aug
    • S. Dolinar and D. Divsalar, "Weight distribution for turbo codes using random and nonrandom permutations," JPL Progr. Rep., pp. 42-122, Aug. 1995.
    • (1995) JPL Progr. Rep. , pp. 42-122
    • Dolinar, S.1    Divsalar, D.2
  • 9
    • 0035504872 scopus 로고    scopus 로고
    • "The iterative turbo decoding algorithm has fixed points"
    • Nov
    • L. Duan and B. Rimoldi, "The iterative turbo decoding algorithm has fixed points," IEEE Trans. Inf. Theory, vol. 47, no. 7, pp. 2993-2995, Nov. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.7 , pp. 2993-2995
    • Duan, L.1    Rimoldi, B.2
  • 10
    • 0035246116 scopus 로고    scopus 로고
    • "Analyzing the turbo decoder using the Gaussian approximation"
    • Feb
    • H. El Gamal and A. R. Hammons Jr., "Analyzing the turbo decoder using the Gaussian approximation," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 671-686, Feb. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.2 , pp. 671-686
    • El Gamal, H.1    Hammons Jr., A.R.2
  • 11
    • 33847356805 scopus 로고
    • "Error-free coding"
    • Sep
    • P. Elias, "Error-free coding," IRE Trans. Inf. Theory, vol. IT-4, no. 4, pp. 29-37, Sep. 1954.
    • (1954) IRE Trans. Inf. Theory , vol.IT-4 , Issue.4 , pp. 29-37
    • Elias, P.1
  • 12
    • 12444327300 scopus 로고    scopus 로고
    • "Stochastic analysis of turbo decoding"
    • Jan
    • M. Fu, "Stochastic analysis of turbo decoding," IEEE Trans. Inf. Theory, vol. 51, no. 1, pp. 81-100, Jan. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , Issue.1 , pp. 81-100
    • Fu, M.1
  • 13
    • 84925405668 scopus 로고
    • "Low-density parity check codes"
    • Jan
    • R. G. Gallager, "Low-density parity check codes," IEEE Trans. Inf. Theory, vol. IT-8, no. 1, pp. 21-28, Jan. 1962.
    • (1962) IEEE Trans. Inf. Theory , vol.IT-8 , Issue.1 , pp. 21-28
    • Gallager, R.G.1
  • 14
    • 0042433188 scopus 로고    scopus 로고
    • "Low complexity stopping criteria for UMTS turbo-decoders"
    • Cheju, Korea, Apr
    • F. Gilbert, F. Kienle, and N. Wehn, "Low complexity stopping criteria for UMTS turbo-decoders," in Proc. 57th IEEE Vehicular Technology Conf., Cheju, Korea, Apr. 2003, pp. 2376-2380.
    • (2003) Proc. 57th IEEE Vehicular Technology Conf. , pp. 2376-2380
    • Gilbert, F.1    Kienle, F.2    Wehn, N.3
  • 15
    • 0037179878 scopus 로고    scopus 로고
    • "Improving turbo codes by control of transient chaos in turbo-decoding algorithms"
    • Sep
    • L. Kocarev, Z. Tasev, and A. Vardy, "Improving turbo codes by control of transient chaos in turbo-decoding algorithms," Electron. Lett., vol. 38, pp. 1184-1186, Sep. 2002.
    • (2002) Electron. Lett. , vol.38 , pp. 1184-1186
    • Kocarev, L.1    Tasev, Z.2    Vardy, A.3
  • 16
    • 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
  • 17
    • 0036350951 scopus 로고    scopus 로고
    • "An approximate analytical model of the message passing decoder of LDPC codes"
    • Lausanne, Switzerland, Jun./Jul
    • F. Lehmann and G. M. Maggio, "An approximate analytical model of the message passing decoder of LDPC codes," in Proc. IEEE Int. Symp. Information Theory, Lausanne, Switzerland, Jun./Jul. 2002, p. 31.
    • (2002) Proc. IEEE Int. Symp. Information Theory , pp. 31
    • Lehmann, F.1    Maggio, G.M.2
  • 19
    • 0033099611 scopus 로고    scopus 로고
    • "Good error correcting codes based on very sparse matrices"
    • Mar
    • D. J. C. MacKay, "Good error correcting codes based on very sparse matrices," IEEE Trans. Inf. Theory, vol. 45, no. 2, pp. 399-431, Mar. 1999.
    • (1999) IEEE Trans. Inf. Theory , vol.45 , Issue.2 , pp. 399-431
    • MacKay, D.J.C.1
  • 21
    • 0033896968 scopus 로고    scopus 로고
    • "The geometry of turbo decoding dynamics"
    • Jan
    • T. J. Richardson, "The geometry of turbo decoding dynamics," IEEE Trans. Inf. Theory, vol. 46, no. 1, pp. 9-23, Jan. 2000.
    • (2000) IEEE Trans. Inf. Theory , vol.46 , Issue.1 , pp. 9-23
    • Richardson, T.J.1
  • 22
    • 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
  • 23
    • 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
  • 24
    • 0033323083 scopus 로고    scopus 로고
    • "Two simple stopping criteria for turbo decoding"
    • Aug
    • R. Y. Shao, S. Lin, and M. P. C. Fossorier, "Two simple stopping criteria for turbo decoding," IEEE Trans. Commun., vol. 47, no. 8, pp. 1117-1120, Aug. 1999.
    • (1999) IEEE Trans. Commun. , vol.47 , Issue.8 , pp. 1117-1120
    • Shao, R.Y.1    Lin, S.2    Fossorier, M.P.C.3
  • 25
    • 0032689527 scopus 로고    scopus 로고
    • "Reducing average number of turbo decoding iterations"
    • A. Shibutani, H. Suda, and F. Adachi, "Reducing average number of turbo decoding iterations," Electron. Lett., vol. 35, pp. 701-702, 1999.
    • (1999) Electron. Lett. , vol.35 , pp. 701-702
    • Shibutani, A.1    Suda, H.2    Adachi, F.3
  • 27
    • 33645705003 scopus 로고    scopus 로고
    • "Bifurcations and chaos in turbo decoding algorithms"
    • (Lecture Notes in Control Information Sciences). New York Springer-Verlag
    • Z. Tasev, P. Popovski, G. M. Maggio, and L. Kocarev, "Bifurcations and chaos in turbo decoding algorithms," in Chaos and Bifurcation Control: Theory and Applications (Lecture Notes in Control Information Sciences). New York: Springer-Verlag, 2003.
    • (2003) Chaos and Bifurcation Control: Theory and Applications
    • Tasev, Z.1    Popovski, P.2    Maggio, G.M.3    Kocarev, L.4
  • 29
    • 0033678591 scopus 로고    scopus 로고
    • "Decoding metrics and their applications in VLSI turbo decoders"
    • Istanbul, Turkey, Jun
    • Z. Wang and K. K. Parhi, "Decoding metrics and their applications in VLSI turbo decoders," in Proc. IEEE Conf. Acoustics, Speech, and Signal Processing, Istanbul, Turkey, Jun. 2000, pp. 3370-3373.
    • (2000) Proc. IEEE Conf. Acoustics, Speech, and Signal Processing , pp. 3370-3373
    • Wang, Z.1    Parhi, K.K.2
  • 31
    • 0034251079 scopus 로고    scopus 로고
    • "A simple stopping criterion for turbo decoding"
    • Aug
    • Y. Wu, B. D. Woerner, and W. J. Ebel, "A simple stopping criterion for turbo decoding," IEEE Commun. Lett., vol. 4, no. 8, pp. 258-260, Aug. 2000.
    • (2000) IEEE Commun. Lett. , vol.4 , Issue.8 , pp. 258-260
    • Wu, Y.1    Woerner, B.D.2    Ebel, W.J.3
  • 32
    • 0242270892 scopus 로고    scopus 로고
    • "Techniques for early stopping and error detection in turbo decoding"
    • Oct
    • F. Zhai and I. J. Fair, "Techniques for early stopping and error detection in turbo decoding," IEEE Trans. Commun., vol. 51, no. 10, pp. 1617-1623, Oct. 2003.
    • (2003) IEEE Trans. Commun. , vol.51 , Issue.10 , pp. 1617-1623
    • Zhai, F.1    Fair, I.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.