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Volumn 51, Issue 3, 2005, Pages 990-1002

Bounds on a probability for the heavy tailed distribution and the probability of deficient decoding in sequential decoding

Author keywords

Buffer overflow; Convolutional code; Fano algorithm; Heavy tailed distribution; Pareto distribution; Probability of deficient decoding; Sequential decoding

Indexed keywords

ALGORITHMS; CONVOLUTIONAL CODES; ENCODING (SYMBOLS); ERROR ANALYSIS; PROBABILITY DISTRIBUTIONS; RELIABILITY; THEOREM PROVING; VECTORS;

EID: 15044360931     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.842580     Document Type: Article
Times cited : (32)

References (33)
  • 1
    • 0023849106 scopus 로고
    • "An upper bound on the cutoff rate of sequential decoding"
    • Jan
    • E. Arikan, "An upper bound on the cutoff rate of sequential decoding," IEEE Trans. Inf. Theory, vol. 34, no. 1, pp. 55-63, Jan. 1988.
    • (1988) IEEE Trans. Inf. Theory , vol.34 , Issue.1 , pp. 55-63
    • Arikan, E.1
  • 2
    • 0029732887 scopus 로고    scopus 로고
    • "An inequality on guessing and its application to sequential decoding"
    • Jan
    • E. Arikan, "An inequality on guessing and its application to sequential decoding," IEEE Trans. Inf. Theory, vol. 42, no. 1, pp. 99-105, Jan. 1996.
    • (1996) IEEE Trans. Inf. Theory , vol.42 , Issue.1 , pp. 99-105
    • Arikan, E.1
  • 4
    • 0000095168 scopus 로고
    • "Inequalities for the rth absolute moment of a sum of random variables 1 ≤ r ≤ 2"
    • B. von Bahr and C. Esseen, "Inequalities for the rth absolute moment of a sum of random variables 1 ≤ r ≤ 2," Ann. Math. Statist., vol. 36, pp. 299-303, 1965.
    • (1965) Ann. Math. Statist. , vol.36 , pp. 299-303
    • von Bahr, B.1    Esseen, C.2
  • 7
    • 0031270005 scopus 로고    scopus 로고
    • "An inequality on guessing and its application to sequential decoding"
    • Nov
    • S. Boztas, "An inequality on guessing and its application to sequential decoding," IEEE Trans. Inf. Theory, vol. 43, no. 6, pp. 2062-2063, Nov. 1997.
    • (1997) IEEE Trans. Inf. Theory , vol.43 , Issue.6 , pp. 2062-2063
    • Boztas, S.1
  • 9
    • 0016944661 scopus 로고
    • "Distance and computation in sequential decoding"
    • Apr
    • P. E. Chevillat and D. J. Costello Jr, "Distance and computation in sequential decoding," IEEE Trans. Commun., vol. COM-24, no. 4, pp. 440-447, Apr. 1976.
    • (1976) IEEE Trans. Commun. , vol.COM-24 , Issue.4 , pp. 440-447
    • Chevillat, P.E.1    Costello Jr., D.J.2
  • 10
    • 0017996425 scopus 로고
    • "An analysis of sequential decoding for specific time-invariant convolutional codes"
    • Jul
    • P. E. Chevillat, D.J. Costello Jr, "An analysis of sequential decoding for specific time-invariant convolutional codes," IEEE Trans. Inf. Theory, vol. IT-24, no. 4, pp. 443-451, Jul. 1978.
    • (1978) IEEE Trans. Inf. Theory , vol.IT-24 , Issue.4 , pp. 443-451
    • Chevillat, P.E.1
  • 12
    • 84939003150 scopus 로고
    • "A heuristic discussion of probabilistic decoding"
    • Apr
    • R. M. Fano, "A heuristic discussion of probabilistic decoding," IEEE Trans. Inf. Theory, vol. IT-9, no. 2, pp. 64-74, Apr. 1963.
    • (1963) IEEE Trans. Inf. Theory, , vol.IT-9 , Issue.2 , pp. 64-74
    • Fano, R.M.1
  • 15
    • 15044344292 scopus 로고    scopus 로고
    • "Heavy tails, phase transitions, and the nature of cutoff"
    • R. E. Blahut and R. Koetter, Eds. Boston, MA: Kluwer
    • C. Gomes, X. Xie, S. B. Wicker, and B. Selman, "Heavy tails, phase transitions, and the nature of cutoff," in Codes, Graphs, and Systems, R. E. Blahut and R. Koetter, Eds. Boston, MA: Kluwer, 2002.
    • (2002) Codes, Graphs, and Systems
    • Gomes, C.1    Xie, X.2    Wicker, S.B.3    Selman, B.4
  • 16
    • 0021426278 scopus 로고
    • "A branching process analysis of the average number of computations of the stack algorithm"
    • May
    • D. Haccoun, "A branching process analysis of the average number of computations of the stack algorithm," IEEE Trans. Inf. Theory, vol. IT-30, no. 3, pp. 497-508, May 1984.
    • (1984) IEEE Trans. Inf. Theory , vol.IT-30 , Issue.3 , pp. 497-508
    • Haccoun, D.1
  • 17
    • 0018523237 scopus 로고
    • "Computational moments for sequential decoding of convolutional codes"
    • Sep
    • T. Hashimoto, "Computational moments for sequential decoding of convolutional codes," IEEE Trans. Inf. Theory, vol. IT-25, no. 5, pp. 584-591, Sep. 1979.
    • (1979) IEEE Trans. Inf. Theory , vol.IT-25 , Issue.5 , pp. 584-591
    • Hashimoto, T.1
  • 18
    • 15044363653 scopus 로고
    • "Deficient decoding of convolutional codes"
    • Feb
    • T. Hashimoto and S. Arimoto, "Deficient decoding of convolutional codes," Trans. IECE, vol. 63-A, pp. 90-97, Feb. 1980.
    • (1980) Trans. IECE , vol.63 A , pp. 90-97
    • Hashimoto, T.1    Arimoto, S.2
  • 19
    • 15044363654 scopus 로고
    • "Tree coding of sources and channels"
    • Ph.D. dissertation, Osaka Univ., Osaka, Japan
    • T. Hashimoto, "Tree coding of sources and channels," Ph.D. dissertation, Osaka Univ., Osaka, Japan, 1981.
    • (1981)
    • Hashimoto, T.1
  • 20
    • 0344296447 scopus 로고
    • "A lower bound to the distribution of computation for sequential decoding"
    • Ap
    • I. M. Jacobs and E. R. Berlekamp, "A lower bound to the distribution of computation for sequential decoding," IEEE Trans. Inf. Theory, vol. IT-13, no. 2, pp. 167-174, Ap. 1967.
    • (1967) IEEE Trans. Inf. Theory , vol.IT-13 , Issue.2 , pp. 167-174
    • Jacobs, I.M.1    Berlekamp, E.R.2
  • 22
    • 0014602879 scopus 로고
    • "A fast sequential decoding algorithm using a stack"
    • Nov
    • F. Jelinek, "A fast sequential decoding algorithm using a stack," IBM J. Res. Devel., vol. 13, pp. 675-685, Nov. 1969.
    • (1969) IBM J. Res. Devel. , vol.13 , pp. 675-685
    • Jelinek, F.1
  • 23
    • 0018467022 scopus 로고
    • "On the distribution of computation for sequential decoding using the stack algorithm"
    • May
    • R. Johannesson, "On the distribution of computation for sequential decoding using the stack algorithm," IEEE Trans. Inf. Theory, vol. IT-25, no. 3, pp. 323-331, May 1979.
    • (1979) IEEE Trans. Inf. Theory , vol.IT-25 , Issue.3 , pp. 323-331
    • Johannesson, R.1
  • 24
    • 0021784828 scopus 로고
    • "On the distribution of the number of computations in any finite number of subtrees for the stack algorithm"
    • Jan
    • R. Johannesson and K. Sh. Zigangirov, "On the distribution of the number of computations in any finite number of subtrees for the stack algorithm," IEEE Trans. Inf. Theory, vol. IT-31, no. 1, pp. 100-102, Jan. 1985.
    • (1985) IEEE Trans. Inf. Theory , vol.IT-31 , Issue.1 , pp. 100-102
    • Johannesson, R.1    Zigangirov, K.Sh.2
  • 26
    • 0342373499 scopus 로고
    • "The performance of sequential decoding in conjunction with efficient modulation"
    • Jun
    • K. L. Jordan Jr, "The performance of sequential decoding in conjunction with efficient modulation," IEEE Trans. Commun. Technol., vol. COM-14, no. 6, pp. 283-297, Jun. 1966.
    • (1966) IEEE Trans. Commun. Technol. , vol.COM-14 , Issue.6 , pp. 283-297
    • Jordan Jr., K.L.1
  • 27
    • 0001761982 scopus 로고
    • "The probability in the tail of a distribution"
    • M. L. Katz, "The probability in the tail of a distribution," Ann. Math. Statist., vol. 34, pp. 312-318, 1963.
    • (1963) Ann. Math. Statist. , vol.34 , pp. 312-318
    • Katz, M.L.1
  • 30
    • 0003228179 scopus 로고
    • "Sequential decoding - The computation problem"
    • J. E. Savage, "Sequential decoding - The computation problem," Bell Syst. Tech. J., vol. 45, pp. 149-175, 1966.
    • (1966) Bell Syst. Tech. J. , vol.45 , pp. 149-175
    • Savage, J.E.1
  • 33
    • 0002742918 scopus 로고
    • "Some sequential decoding procedures"
    • K. Sh. Zigangirov, "Some sequential decoding procedures," Probl. Pered. Inf., vol. 2, pp. 13-25, 1966.
    • (1966) Probl. Pered. Inf. , vol.2 , pp. 13-25
    • Zigangirov, K.Sh.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.