A New iterative algorithm for computing the correct decoding probability exponent of discrete memoryless channels

Yutaka Jitsumatsu, Yasutada Oohama

研究成果: Contribution to journalArticle査読

抄録

Dueck and Körner's reliability function for discrete memoryless channels for rates above the capacity coincides with Arimoto's exponent of correct decoding probability. The two exponent functions are described by seemingly different optimization problems over the space of probability distributions. Arimoto gave an iterative algorithm for solving the optimization problem that appears in his exponent function. However, no algorithm to solve the optimization problem that appears in Dueck and Körner's exponent has been proposed. This paper proposes a new iterative algorithm for solving the minimization problem in Dueck and Körner's exponent. In the proposed algorithm, a double minimization form with respect to two joint distributions on input and output symbols is introduced. This double minimization is connected to another double minimization that appears in Arimoto's algorithm. Such a connection leads to a quadruple minimization problem, by which the match of Arimoto and Dueck-Körner exponents is easily proved.

本文言語英語
論文番号8889422
ページ(範囲)1585-1606
ページ数22
ジャーナルIEEE Transactions on Information Theory
66
3
DOI
出版ステータス出版済み - 3 2020

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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