Source coding with Tsallis entropy

被引:12
|
作者
Chapeau-Blondeau, F. [1 ]
Delahaies, A. [1 ]
Rousseau, D. [1 ]
机构
[1] Univ Angers, LISA, F-49000 Angers, France
关键词
THEOREM;
D O I
10.1049/el.2010.2792
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
An extension is presented to the source coding theorem traditionally based on the Shannon entropy and later generalised to the Renyi entropy. Another possible generalisation is demonstrated, with a lower bound realised by the Tsallis entropy, when the performance is measured by the generalised average coding length which is exhibited, and with the optimal codelengths expressed from the escort probability distribution, also known in nonextensive thermodynamics.
引用
收藏
页码:187 / U677
页数:2
相关论文
共 50 条
  • [31] Inflation based on the Tsallis entropy
    Zeinab Teimoori
    Kazem Rezazadeh
    Abasat Rostami
    The European Physical Journal C, 84
  • [32] Symbolic Sequences and Tsallis Entropy
    Ribeiro, H. V.
    Lenzi, E. K.
    Mendes, R. S.
    Mendes, G. A.
    da Silva, L. R.
    BRAZILIAN JOURNAL OF PHYSICS, 2009, 39 (2A) : 444 - 447
  • [33] DYNAMICAL ASPECTS OF TSALLIS ENTROPY
    PLASTINO, AR
    PLASTINO, A
    PHYSICA A, 1994, 202 (3-4): : 438 - 448
  • [34] Projections maximizing Tsallis entropy
    Harremoes, Peter
    COMPLEXITY, METASTABILITY AND NONEXTENSIVITY, 2007, 965 : 90 - 95
  • [35] Source coding with escort distributions and Renyi entropy bounds
    Bercher, J. -F.
    PHYSICS LETTERS A, 2009, 373 (36) : 3235 - 3238
  • [36] Inequalities for relative operator entropy in terms of Tsallis' entropy
    Dragomir, S. S.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (04)
  • [37] Temperature of nonextensive systems: Tsallis entropy as Clausius entropy
    Abe, Sumiyoshi
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 368 (02) : 430 - 434
  • [38] Projective Power Entropy and Maximum Tsallis Entropy Distributions
    Eguchi, Shinto
    Komori, Osamu
    Kato, Shogo
    ENTROPY, 2011, 13 (10): : 1746 - 1764
  • [39] Relative entropy and Tsallis entropy of two accretive operators
    Raissouli, Mustapha
    Moslehian, Mohammad Sal
    Furuichi, Shigeru
    COMPTES RENDUS MATHEMATIQUE, 2017, 355 (06) : 687 - 693
  • [40] Multiterminal Source Coding for Many Sensors with Entropy Coding and Gaussian Process Regression
    Cheng, Samuel
    2013 DATA COMPRESSION CONFERENCE (DCC), 2013, : 480 - 480