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Phys. Rev. E 63, 046105 (2001) [7 pages]

Information theory based on nonadditive information content

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Takuya Yamano
Department of Applied Physics, Faculty of Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152-8551, Japan

Received 6 October 2000; published 23 March 2001

We generalize Shannon’s information theory in a nonadditive way by focusing on the source coding theorem. The nonadditive information content we adopted is consistent with the concept of the form invariance structure of the nonextensive entropy. Some general properties of the nonadditive information entropy are studied, in addition, the relation between the nonadditivity q and the codeword length is pointed out.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.046105
DOI:
10.1103/PhysRevE.63.046105
PACS:
02.50.-r, 05.20.-y, 89.70.+c