Presentation 2022-01-21
Slepian-Wolf Coding Theorems Considering Costs for Codewords
Naoki Ueda, Tomohiko Uyematsu,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Many codes used for source coding assume that the costs for transmitting and recording each symbol are uniform, and codes are designed to minimize the average length of codewords for a given source. However, in the transmission and recording of information, it seems to be natural that each symbol has a different cost, and codes that minimize the costs of codewords are required. In this paper, we deal with two types of costs for codewords: regular costs and finite state costs. We consider the Slepian-Wolf coding problem for stationary memoryless sources, and clarify the achievable rate region of the maximum cost rates, which are defined by the maximum value of the costs for codewords per symbols. Furthermore, we also clarify the achievable rate region for the average cost rates, which are defined by the average value of the costs for codewords per symbols. Further, in the case of stationary memoryless sources, we show that these two achievable rate regions are identical.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Slepian-Wolf coding / cost rate / achievable rate region / stationary memoryless source / cost for codeword
Paper # IT2021-81,SIP2021-89,RCS2021-249
Date of Issue 2022-01-13 (IT, SIP, RCS)

Conference Information
Committee RCS / SIP / IT
Conference Date 2022/1/20(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Eiji Okamoto(Nagoya Inst. of Tech.) / Yukihiro Bandou(NTT) / Tadashi Wadayama(Nagoya Inst. of Tech.)
Vice Chair Toshihiko Nishimura(Hokkaido Univ.) / Tomoya Tandai(Toshiba) / Fumihide Kojima(NICT) / Toshihisa Tanaka(Tokyo Univ. Agri.&Tech.) / Takayuki Nakachi(Ryukyu Univ.) / Tetsuya Kojima(Tokyo Kosen)
Secretary Toshihiko Nishimura(NEC) / Tomoya Tandai(Panasonic) / Fumihide Kojima(Xiaomi) / Toshihisa Tanaka(Takushoku Univ.) / Takayuki Nakachi(Tokyo Univ. Agri.&Tech.) / Tetsuya Kojima(Saitamai Univ.)
Assistant Koichi Adachi(Univ. of Electro-Comm.) / Osamu Nakamura(Sharp) / Manabu Sakai(Mitsubishi Electric) / Masashi Iwabuchi(NTT) / Tatsuki Okuyama(NTT DOCOMO) / Taichi Yoshida(UEC) / Seisuke Kyochi(Univ. of Kitakyushu) / Masanori Hirotomo(Saga Univ.)

Paper Information
Registration To Technical Committee on Radio Communication Systems / Technical Committee on Signal Processing / Technical Committee on Information Theory
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Slepian-Wolf Coding Theorems Considering Costs for Codewords
Sub Title (in English)
Keyword(1) Slepian-Wolf coding
Keyword(2) cost rate
Keyword(3) achievable rate region
Keyword(4) stationary memoryless source
Keyword(5) cost for codeword
1st Author's Name Naoki Ueda
1st Author's Affiliation Tokyo Institute of Technology(Tokyo Tech)
2nd Author's Name Tomohiko Uyematsu
2nd Author's Affiliation Tokyo Institute of Technology(Tokyo Tech)
Date 2022-01-21
Paper # IT2021-81,SIP2021-89,RCS2021-249
Volume (vol) vol.121
Number (no) IT-327,SIP-328,RCS-329
Page pp.pp.295-300(IT), pp.295-300(SIP), pp.295-300(RCS),
#Pages 6
Date of Issue 2022-01-13 (IT, SIP, RCS)