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Volumn 45, Issue 4, 1999, Pages 1092-1110

On the redundancy of lossy source coding with abstract alphabets

Author keywords

[No Author keywords available]

Indexed keywords

BLOCK CODES; COMPUTATIONAL COMPLEXITY; DATA COMPRESSION; RANDOM PROCESSES; REDUNDANCY;

EID: 0032641872     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.761253     Document Type: Article
Times cited : (52)

References (52)
  • 1
    • 0005653424 scopus 로고    scopus 로고
    • Rate distortion theory for sources with abstract alphabets and memory,"
    • vol. 13, pp. 254-273, 1968.
    • T. Berger Rate distortion theory for sources with abstract alphabets and memory," Inform. Contr., vol. 13, pp. 254-273, 1968.
    • Inform. Contr.
    • Berger, T.1
  • 3
    • 0024078652 scopus 로고    scopus 로고
    • A large deviation theory proof of the abstract alphabet source coding theorem,"
    • vol. 34, pp. 1081-1083, Sept. 1988.
    • J. Bucklew A large deviation theory proof of the abstract alphabet source coding theorem," IEEE Trans. Inform. Theory, vol. 34, pp. 1081-1083, Sept. 1988.
    • IEEE Trans. Inform. Theory
    • Bucklew, J.1
  • 4
    • 0030195609 scopus 로고    scopus 로고
    • A vector quantization approach to universal noiseless coding and quantization,"
    • vol. 42, pp. 1109-1138, July 1996.
    • P. A. Chou, M. Effros, and R. M. Gray A vector quantization approach to universal noiseless coding and quantization," IEEE Trans. Inform. Theory, vol. 42, pp. 1109-1138, July 1996.
    • IEEE Trans. Inform. Theory
    • Chou, P.A.1    Effros, M.2    Gray, R.M.3
  • 5
    • 33749765057 scopus 로고    scopus 로고
    • 1980. [6] T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
    • D. L. Cohen, Measure Theory. Boston, MA: Birkhäuser, 1980. [6] T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
    • Measure Theory. Boston, MA: Birkhäuser
    • Cohen, D.L.1
  • 10
    • 0016486577 scopus 로고    scopus 로고
    • Universal codeword sets and representations of the integers,"
    • 21, pp. 194-203, 1975.
    • P. Elias Universal codeword sets and representations of the integers," IEEE Trans. Inform. Theory, vol. IT21, pp. 194-203, 1975.
    • IEEE Trans. Inform. Theory, Vol. IT
    • Elias, P.1
  • 15
    • 0018036181 scopus 로고    scopus 로고
    • A unified approach to weak universal source coding,"
    • 24, pp. 674-682, 1978.
    • J. C. Kieffer A unified approach to weak universal source coding," IEEE Trans. Inform. Theory, vol. IT24, pp. 674-682, 1978.
    • IEEE Trans. Inform. Theory, Vol. IT
    • Kieffer, J.C.1
  • 16
    • 0027667901 scopus 로고    scopus 로고
    • A survey of the theory of source coding with a fidelity criterion,"
    • vol. 39, pp. 1473-1490, Sept. 1993.
    • _ A survey of the theory of source coding with a fidelity criterion," IEEE Trans. Inform. Theory, vol. 39, pp. 1473-1490, Sept. 1993.
    • IEEE Trans. Inform. Theory
  • 17
    • 0026119776 scopus 로고    scopus 로고
    • Sample converses in source coding theory,"
    • vol. 37, pp. 263-268, Mar. 1991.
    • _ Sample converses in source coding theory," IEEE Trans. Inform. Theory, vol. 37, pp. 263-268, Mar. 1991.
    • IEEE Trans. Inform. Theory
  • 18
    • 84967643367 scopus 로고    scopus 로고
    • Three approaches to the quantitative definition of information,"
    • vol. 1, pp. 1-7, 1965.
    • A. N. Kolmogorov Three approaches to the quantitative definition of information," Probl. Inform. Transm., vol. 1, pp. 1-7, 1965.
    • Probl. Inform. Transm.
    • Kolmogorov, A.N.1
  • 20
    • 0028548396 scopus 로고    scopus 로고
    • Rates of convergence in the source coding theorem, in empirical quantizer design, and in universal lossy source coding,"
    • vol. 40, pp. 1728-1740, Nov. 1994.
    • T. Linder, G. Lugosi, and K. Zeger Rates of convergence in the source coding theorem, in empirical quantizer design, and in universal lossy source coding," IEEE Trans. Inform. Theory, vol. 40, pp. 1728-1740, Nov. 1994.
    • IEEE Trans. Inform. Theory
    • Linder, T.1    Lugosi, G.2    Zeger, K.3
  • 21
    • 0029306817 scopus 로고    scopus 로고
    • Fixed-rate universal lossy source coding and rates of convergence for memoryless sources,"
    • vol. 41, pp. 665-676, May 1995.
    • _ Fixed-rate universal lossy source coding and rates of convergence for memoryless sources," IEEE Trans. Inform. Theory, vol. 41, pp. 665-676, May 1995.
    • IEEE Trans. Inform. Theory
  • 22
    • 0030108547 scopus 로고    scopus 로고
    • On the cost of finite block length in quantizing unbounded memoryless sources,"
    • vol. 42, pp. 480-487, Mar. 1996.
    • T. Linder and K. Zeger On the cost of finite block length in quantizing unbounded memoryless sources," IEEE Trans. Inform. Theory, vol. 42, pp. 480-487, Mar. 1996.
    • IEEE Trans. Inform. Theory
    • Linder, T.1    Zeger, K.2
  • 23
    • 0030784277 scopus 로고    scopus 로고
    • On the average redundancy rate of the Lempel-Ziv code,"
    • vol. 43, pp. 2-8, Jan. 1997.
    • G. Louchard and W. Szpankowski On the average redundancy rate of the Lempel-Ziv code," IEEE Trans. Inform. Theory, vol. 43, pp. 2-8, Jan. 1997.
    • IEEE Trans. Inform. Theory
    • Louchard, G.1    Szpankowski, W.2
  • 24
    • 0031236412 scopus 로고    scopus 로고
    • A suboptimal lossy data compression based on approximate pattern matching,"
    • vol. 43, pp. 1439-1451, Sept. 1997.
    • T. Luczak and W. Szpankowski A suboptimal lossy data compression based on approximate pattern matching," IEEE Trans. Inform. Theory, vol. 43, pp. 1439-1451, Sept. 1997.
    • IEEE Trans. Inform. Theory
    • Luczak, T.1    Szpankowski, W.2
  • 25
    • 0017971120 scopus 로고    scopus 로고
    • Variable-rate universal block source coding subject to a fidelity constraint,"
    • 24, pp. 349-360, 1978.
    • K. M. Mackenthun and M. B. Pursley Variable-rate universal block source coding subject to a fidelity constraint," IEEE Trans. Inform. Theory, vol. IT24, pp. 349-360, 1978.
    • IEEE Trans. Inform. Theory, Vol. IT
    • Mackenthun, K.M.1    Pursley, M.B.2
  • 26
    • 0005718722 scopus 로고    scopus 로고
    • A comment on 'A rate of convergence result for a universal .D-semifaithful code',"
    • vol. 41, pp. 1200-1202, July 1995.
    • N. Merhav A comment on 'A rate of convergence result for a universal .D-semifaithful code'," IEEE Trans. Inform. Theory, vol. 41, pp. 1200-1202, July 1995.
    • IEEE Trans. Inform. Theory
    • Merhav, N.1
  • 28
    • 33749686173 scopus 로고    scopus 로고
    • Universal almost sure data compression," Ann
    • vol. 18, pp. 441-452, 1990.
    • D. S. Ornstein and P. C. Shields Universal almost sure data compression," Ann. Probab., vol. 18, pp. 441-452, 1990.
    • Probab.
    • Ornstein, D.S.1    Shields, P.C.2
  • 29
    • 0000360434 scopus 로고    scopus 로고
    • The transmission distortion of a source as a function of the encoding block length,"
    • vol. 47, pp. 827-885, 1968.
    • R. J. Pile The transmission distortion of a source as a function of the encoding block length," Bell Syst. Tech. J., vol. 47, pp. 827-885, 1968.
    • Bell Syst. Tech. J.
    • Pile, R.J.1
  • 30
    • 0026712640 scopus 로고    scopus 로고
    • Upper bounds on the probability of sequences emitted by finite-state source and on the redundancy of the Lempel-Ziv algorithm,"
    • vol. 38, pp. 66-72, Jan. 1992.
    • E. Plotnik, J. Weinberger, and J. Ziv Upper bounds on the probability of sequences emitted by finite-state source and on the redundancy of the Lempel-Ziv algorithm," IEEE Trans. Inform. Theory, vol. 38, pp. 66-72, Jan. 1992.
    • IEEE Trans. Inform. Theory
    • Plotnik, E.1    Weinberger, J.2    Ziv, J.3
  • 31
    • 0000318553 scopus 로고    scopus 로고
    • Stochastic complexity and modeling,"
    • vol. 14, pp. 1080-1100, 1986.
    • J. Rissanen Stochastic complexity and modeling," Ann. Statist., vol. 14, pp. 1080-1100, 1986.
    • Ann. Statist.
    • Rissanen, J.1
  • 32
    • 0021466584 scopus 로고    scopus 로고
    • Universal coding, information, prediction and estimation,"
    • 30, pp. 629-636, 1984.
    • _ Universal coding, information, prediction and estimation," IEEE Trans. Inform. Theory, vol. IT30, pp. 629-636, 1984.
    • IEEE Trans. Inform. Theory, Vol. IT
  • 33
    • 0022754340 scopus 로고    scopus 로고
    • Complexity of strings in the class of Markov sources,"
    • vol. 34, pp. 526-532, 1986.
    • _ Complexity of strings in the class of Markov sources," IEEE Trans. Inform. Theory, vol. 34, pp. 526-532, 1986.
    • IEEE Trans. Inform. Theory
  • 35
    • 0030736448 scopus 로고    scopus 로고
    • Redundancy of the Lempel-Ziv incremental parsing rule,"
    • vol. 43, pp. 9-21, Jan. 1997.
    • S. A. Savari Redundancy of the Lempel-Ziv incremental parsing rule," IEEE Trans. Inform. Theory, vol. 43, pp. 9-21, Jan. 1997.
    • IEEE Trans. Inform. Theory
    • Savari, S.A.1
  • 36
    • 84940644968 scopus 로고    scopus 로고
    • A mathematical theory of communication,"
    • vol. 27, pp. 379-423, pp. 623-656, 1948.
    • C. E. Shannon A mathematical theory of communication," Bell Syst. Tech. J., vol. 27, pp. 379-423, pp. 623-656, 1948.
    • Bell Syst. Tech. J.
    • Shannon, C.E.1
  • 37
    • 0025632797 scopus 로고    scopus 로고
    • Universal almost sure data compression using Markov types,"
    • vol. 19, pp. 269-277, 1990.
    • P. C. Shields Universal almost sure data compression using Markov types," Probl. Contr. Inform. Theory, vol. 19, pp. 269-277, 1990.
    • Probl. Contr. Inform. Theory
    • Shields, P.C.1
  • 38
    • 84977686630 scopus 로고    scopus 로고
    • Communication of analog data from a Gaussian source over a noisy channel,"
    • vol. 47, pp. 801-812, May/June 1968.
    • A. D. Wyner Communication of analog data from a Gaussian source over a noisy channel," Bell Syst. Tech. J., vol. 47, pp. 801-812, May/June 1968.
    • Bell Syst. Tech. J.
    • Wyner, A.D.1
  • 39
    • 0015316803 scopus 로고    scopus 로고
    • On the transmission of correlated Gaussian data over a noisy channel with finite encoding block length,"
    • vol. 20, pp. 193-215, 1972.
    • _ On the transmission of correlated Gaussian data over a noisy channel with finite encoding block length," Inform. Contr., vol. 20, pp. 193-215, 1972.
    • Inform. Contr.
  • 40
    • 0029307103 scopus 로고    scopus 로고
    • Improved redundancy of a version of the Lempel-Ziv algorithm,"
    • vol. 41, pp. 723-731, 1995.
    • A. D. Wyner and A. J. Wyner Improved redundancy of a version of the Lempel-Ziv algorithm," IEEE Trans. Inform. Theory, vol. 41, pp. 723-731, 1995.
    • IEEE Trans. Inform. Theory
    • Wyner, A.D.1    Wyner, A.J.2
  • 41
    • 0031234273 scopus 로고    scopus 로고
    • The redundancy and distribution of the phrase lengths of the fixed database Lempel-Ziv algorithm,"
    • vol. 43, pp. 1452-1464, Sept. 1997.
    • A. J. Wyner The redundancy and distribution of the phrase lengths of the fixed database Lempel-Ziv algorithm," IEEE Trans. Inform. Theory, vol. 43, pp. 1452-1464, Sept. 1997.
    • IEEE Trans. Inform. Theory
    • Wyner, A.J.1
  • 42
    • 0026283142 scopus 로고    scopus 로고
    • Universal almost sure data compression for abstract alphabets and arbitrary fidelity criterions,"
    • vol. 20, pp. 397-408, 1991.
    • E.-H. Yang Universal almost sure data compression for abstract alphabets and arbitrary fidelity criterions," Probl. Contr. Inform. Theory, vol. 20, pp. 397-408, 1991.
    • Probl. Contr. Inform. Theory
    • Yang, E.-H.1
  • 43
    • 0031190761 scopus 로고    scopus 로고
    • On the redundancy of the fixed database Lempel-Ziv algorithm for çi-mixing sources,"
    • vol. 43, pp. 1101-1111, July 1997.
    • E.-H. Yang and J. C. Kieffer On the redundancy of the fixed database Lempel-Ziv algorithm for çi-mixing sources," IEEE Trans. Inform. Theory, vol. 43, pp. 1101-1111, July 1997.
    • IEEE Trans. Inform. Theory
    • Yang, E.-H.1    Kieffer, J.C.2
  • 44
    • 0031647294 scopus 로고    scopus 로고
    • On the performance of data compression algorithms based upon string matching,"
    • vol. 44, pp. 47-65, Jan. 1998.
    • _ On the performance of data compression algorithms based upon string matching," IEEE Trans. Inform. Theory, vol. 44, pp. 47-65, Jan. 1998.
    • IEEE Trans. Inform. Theory
  • 45
    • 0032165713 scopus 로고    scopus 로고
    • An on-line universal lossy data compression algorithm by continuous codebook refinement-Part III: Redundancy analysis,"
    • vol. 44, pp. 1782-1801, Sept. 1998.
    • E.-H. Yang and Z. Zhang An on-line universal lossy data compression algorithm by continuous codebook refinement-Part III: Redundancy analysis," IEEE Trans. Inform. Theory, vol. 44, pp. 1782-1801, Sept. 1998.
    • IEEE Trans. Inform. Theory
    • Yang, E.-H.1    Zhang, Z.2
  • 48
    • 0027596996 scopus 로고    scopus 로고
    • A rate of convergence result for a universal D-semifaithful code,"
    • vol. 39, pp. 813-820, 1993.
    • B. Yu and T. P. Speed A rate of convergence result for a universal D-semifaithful code," IEEE Trans. Inform. Theory, vol. 39, pp. 813-820, 1993.
    • IEEE Trans. Inform. Theory
    • Yu B1    Speed, T.P.2
  • 49
    • 0030784276 scopus 로고    scopus 로고
    • The redundancy of source coding with a fidelity criterion-Part I: Known statistics,"
    • vol. 43, pp. 71-91, Jan. 1997.
    • Z. Zhang, E.-H. Yang, and V. K. Wei The redundancy of source coding with a fidelity criterion-Part I: Known statistics," IEEE Trans. Inform. Theory, vol. 43, pp. 71-91, Jan. 1997.
    • IEEE Trans. Inform. Theory
    • Zhang, Z.1    Yang, E.-H.2    Wei, V.K.3
  • 50
    • 0030151231 scopus 로고    scopus 로고
    • An on-line universal lossy data compression algorithm by continuous codebook refinement-Part I: Basic results,"
    • vol. 42, pp. 803-821, May 1996.
    • Z. Zhang and V. K. Wei An on-line universal lossy data compression algorithm by continuous codebook refinement-Part I: Basic results," IEEE Trans. Inform. Theory, vol. 42, pp. 803-821, May 1996.
    • IEEE Trans. Inform. Theory
    • Zhang, Z.1    Wei, V.K.2
  • 51
    • 0030150339 scopus 로고    scopus 로고
    • An on-line universal lossy data compression algorithm via continuous codebook refinement-Part II: Optimality for phi-mixing source models,"
    • vol. 42, pp. 822-836, May 1996.
    • Z. Zhang and E.-H. Yang An on-line universal lossy data compression algorithm via continuous codebook refinement-Part II: Optimality for phi-mixing source models," IEEE Trans. Inform. Theory, vol. 42, pp. 822-836, May 1996.
    • IEEE Trans. Inform. Theory
    • Zhang, Z.1    Yang, E.-H.2
  • 52
    • 0000607227 scopus 로고    scopus 로고
    • Coding of sources with unknown statistics-Part II: Distortion relative to a fidelity criterion,"
    • 18, pp. 389-394, 1972.
    • J. Ziv Coding of sources with unknown statistics-Part II: Distortion relative to a fidelity criterion," IEEE Trans. Inform. Theory, vol. IT18, pp. 389-394, 1972.
    • IEEE Trans. Inform. Theory, Vol. IT
    • Ziv, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.