Presentation 2020-12-03
An Algorithm for Computing the Capacity Region of Degraded Broadcast Channels Using Relaxation Terms and Convergence
Yuji Hatta, Yasutada Ohama,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Arimoto, Blahut proposed sequential algorithm toward computing the capacity region of the discrete memoryless channel. But, computing algorithm for capacity region of multi-user channel has not been established. Yasui proposed Arimoto-Blahut type algorithm toward computing the capacity region of the degraded broadcast channnel, and they proved the global convergence of the algorithm when some conditions hold. Arai proposed an algorithm for computing the capacity region using relaxation terms, but they had not proved the global convergence. In this paper, we present numerical experiment on the sequential computation algorithm using relaxation terms. We discuss several different convergence in same channel. We prove the global convergence of the algorithm using relaxation terms. We hope that our sufficient condition is less strict than Yasui's result.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) capacity region / degraded broadcast channnel
Paper # IT2020-61
Date of Issue 2020-11-24 (IT)

Conference Information
Committee IT
Conference Date 2020/12/1(3days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English) Lectures for Young Researchers, General
Chair Tadashi Wadayama(Nagoya Inst. of Tech.)
Vice Chair Tetsuya Kojima(Tokyo Kosen)
Secretary Tetsuya Kojima(Yamaguchi Univ.)
Assistant Takahiro Ohta(Senshu Univ.)

Paper Information
Registration To Technical Committee on Information Theory
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Algorithm for Computing the Capacity Region of Degraded Broadcast Channels Using Relaxation Terms and Convergence
Sub Title (in English)
Keyword(1) capacity region
Keyword(2) degraded broadcast channnel
1st Author's Name Yuji Hatta
1st Author's Affiliation The University of Electro-Communications(UEC)
2nd Author's Name Yasutada Ohama
2nd Author's Affiliation The University of Electro-Communications(UEC)
Date 2020-12-03
Paper # IT2020-61
Volume (vol) vol.120
Number (no) IT-268
Page pp.pp.200-205(IT),
#Pages 6
Date of Issue 2020-11-24 (IT)