Presentation 2021-01-21
Channel Coding Theorem with Asymptotic Cost Constraint Allowing Decoding Error and Cost Overrun
Masaki Hori, Mikihiko Nishiara,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We consider a problem where the cost is defined over the coding alphabet in the channel coding problem. Such a problem is called a cost constraint problem. In the conventional problem setting, the cost constraint on the codeword must be satisfied for every block length, while the coding rate is defined asymptotically with respect to the block length. In this study, we consider a channel coding problem for general channels with asymptotic cost constraints on the codewords. Specifically, we clarified the channel capacity allowing decoding error and cost overrun simultaneously. However, a strong assumption is made in the derivation of the direct part of the theorem.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) channel coding theorem / Shannon theorem / general channels / cost constraint problem
Paper # IT2020-83,SIP2020-61,RCS2020-174
Date of Issue 2021-01-14 (IT, SIP, RCS)

Conference Information
Committee SIP / IT / RCS
Conference Date 2021/1/21(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Kazunori Hayashi(Kyoto Univ.) / Tadashi Wadayama(Nagoya Inst. of Tech.) / Eiji Okamoto(Nagoya Inst. of Tech.)
Vice Chair Yukihiro Bandou(NTT) / Toshihisa Tanaka(Tokyo Univ. Agri.&Tech.) / Tetsuya Kojima(Tokyo Kosen) / Fumiaki Maehara(Waseda Univ.) / Toshihiko Nishimura(Hokkaido Univ.) / Tomoya Tandai(Toshiba)
Secretary Yukihiro Bandou(Hosei Univ.) / Toshihisa Tanaka(Waseda Univ.) / Tetsuya Kojima(Yamaguchi Univ.) / Fumiaki Maehara(Saga Univ.) / Toshihiko Nishimura(Kyushu Univ.) / Tomoya Tandai(NEC)
Assistant Yuichi Tanaka(Tokyo Univ. Agri.&Tech.) / Takahiro Ohta(Senshu Univ.) / Koichi Adachi(Univ. of Electro-Comm.) / Osamu Nakamura(Sharp) / Manabu Sakai(Mitsubishi Electric) / Masashi Iwabuchi(NTT) / Tatsuki Okuyama(NTT DOCOMO)

Paper Information
Registration To Technical Committee on Signal Processing / Technical Committee on Information Theory / Technical Committee on Radio Communication Systems
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Channel Coding Theorem with Asymptotic Cost Constraint Allowing Decoding Error and Cost Overrun
Sub Title (in English)
Keyword(1) channel coding theorem
Keyword(2) Shannon theorem
Keyword(3) general channels
Keyword(4) cost constraint problem
1st Author's Name Masaki Hori
1st Author's Affiliation Shinshu University(Shinshu Univ.)
2nd Author's Name Mikihiko Nishiara
2nd Author's Affiliation Shinshu University(Shinshu Univ.)
Date 2021-01-21
Paper # IT2020-83,SIP2020-61,RCS2020-174
Volume (vol) vol.120
Number (no) IT-320,SIP-321,RCS-322
Page pp.pp.107-112(IT), pp.107-112(SIP), pp.107-112(RCS),
#Pages 6
Date of Issue 2021-01-14 (IT, SIP, RCS)