Presentation 2011-03-03
The Width of Information-Spectrum and the Worst-Case Redundancy of Fixed-Length Coding
Hiroki KOGA, Mitsuharu ARIMURA, Ken-ichi IWATA,
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Abstract(in English) We consider a situation where n-tuples generated from a general source are encoded by a fixed-length code and discuss coding theorems on the worst-case redundancy. In this paper the worst-case redundancy is defined as the maximum of the difference between the rate of the fixed-length code and the ideal codeword length per symbol with respect to all the correctly decodable n-tuples. We first treat the case where the decoding error probability ε_n satisfies ε_n→0 as n→∞. We show that the optimum worst-case redundancy is asymptotically equal to the width of the entropy-spectrum of a general source. This result is extended to the two cases where ε_n is required to satisfy (a) lim sup_ε_n≦ε, and (b) lim inf_ε_n≦ε, where ε∈[0,1) is an arbitrary constant.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Fixed-length coding / worst-case redundancy / general source / information-spectrum methods
Paper # IT2010-83,ISEC2010-87,WBS2010-62
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Committee IT
Conference Date 2011/2/24(1days)
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Registration To Information Theory (IT)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) The Width of Information-Spectrum and the Worst-Case Redundancy of Fixed-Length Coding
Sub Title (in English)
Keyword(1) Fixed-length coding
Keyword(2) worst-case redundancy
Keyword(3) general source
Keyword(4) information-spectrum methods
1st Author's Name Hiroki KOGA
1st Author's Affiliation Graduate School of Systems and Information Engineering, University of Tsukuba()
2nd Author's Name Mitsuharu ARIMURA
2nd Author's Affiliation Department of Applied Computer Sciences, Shonan Institute of Technology
3rd Author's Name Ken-ichi IWATA
3rd Author's Affiliation Graduate School of Engineering, Fukui University
Date 2011-03-03
Paper # IT2010-83,ISEC2010-87,WBS2010-62
Volume (vol) vol.110
Number (no) 442
Page pp.pp.-
#Pages 6
Date of Issue