Coding Theorems for Source Coding with Cost

Source coding with a cost function for code symbols is studied and the moment function of the cost is investigated. Our coding theorems show that the optimal exponential moment of the cost is characterized by using the Rényi entropy. Further, coding theorems for <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\varepsilon$</tex>-coding are also given.

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Publication Details

Published
2024-11-10
DOI
https://doi.org/10.23919/isita60732.2024.10858257
Citations
1
Primary Topic
DNA and Biological Computing
Type
article
Field-Weighted Citation Impact
0.23
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article

Coding Theorems for Source Coding with Cost

Shigeaki Kuzuoka
1 citations
DNA and Biological Computing
0.23
article

Coding Theorems for Source Coding with Cost

Shigeaki Kuzuoka
article en
1 citations

Abstract

Source coding with a cost function for code symbols is studied and the moment function of the cost is investigated. Our coding theorems show that the optimal exponential moment of the cost is characterized by using the Rényi entropy. Further, coding theorems for <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\varepsilon$</tex>-coding are also given.

Wakayama University (JP)
Decent work and economic growth
Openalex Percentile: Top 40%
DNA and Biological Computing
0.23
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Coding Theorems for Source Coding with Cost — Shigeaki Kuzuoka · (2024) | TGRS Research Map | TGRS