Presentation 2003/7/15
On the Optimistic Coding Theorems for Source Coding and Hypothesis Testing
Naoki SATO, Hiroki KOGA,
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Abstract(in English) Optimistic coding is a coding in which we require the existence of reliable codes for infinitely many block length. In this paper we consider the optimistic source coding theorems for a general source Z from the information-spectrum approach. We first formulate the problem to be considered clearly. We express the optimistic minimum achievable source coding rate T____ε(Z) for the case where the error probability is less than or equal to an arbitrarily given ε∈[0,1). In fact, T____ε (Z) turns out to be expressed in a form similar to T_ε (Z), the ordinary minmum achievable source coding rate. A new expression for T____ε (Z) that suggests the achievability part is also given. In addition, we show that arguments similar to the arguments for T____ε(Z) also holds for the hypothesis testing.
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Keyword(in English) Source coding / hypothesis testing / general source / information-spectrum / optimistic coding
Paper # IT2003-13(2003-07)
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Committee IT
Conference Date 2003/7/15(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) On the Optimistic Coding Theorems for Source Coding and Hypothesis Testing
Sub Title (in English)
Keyword(1) Source coding
Keyword(2) hypothesis testing
Keyword(3) general source
Keyword(4) information-spectrum
Keyword(5) optimistic coding
1st Author's Name Naoki SATO
1st Author's Affiliation Master's Program in Science and Engineering at University of Tsukuba()
2nd Author's Name Hiroki KOGA
2nd Author's Affiliation Institute of Engineering Mechanics and Systems, University of Tsukuba
Date 2003/7/15
Paper # IT2003-13(2003-07)
Volume (vol) vol.103
Number (no) 214
Page pp.pp.-
#Pages 6
Date of Issue