Variable-Length Intrinsic Randomness on Two Performance Criteria Based on Variational Distance

• YOSHIZAWA Jun

  Department of Pure and Applied Mathematics, School of Fundamental Science and Engineering, Waseda University

• SAITO Shota

  Department of Pure and Applied Mathematics, School of Fundamental Science and Engineering, Waseda University

• MATSUSHIMA Toshiyasu

  Department of Pure and Applied Mathematics, School of Fundamental Science and Engineering, Waseda University

抄録

This paper investigates the problem of variable-length intrinsic randomness for a general source. For this problem, we can consider two performance criteria based on the variational distance: the maximum and average variational distances. For the problem of variable-length intrinsic randomness with the maximum variational distance, we derive a general formula of the average length of uniform random numbers. Further, we derive the upper and lower bounds of the general formula and the formula for a stationary memoryless source. For the problem of variable-length intrinsic randomness with the average variational distance, we also derive a general formula of the average length of uniform random numbers.

収録刊行物

• IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E102.A (12), 1642-1650, 2019-12-01

  一般社団法人 電子情報通信学会

キーワード

• average variational distance
• general source
• maximum variational distance
• variable-length intrinsic randomness

詳細情報

• CRID: 1390845702329587712
• NII論文ID: 130007754021
• DOI: 10.1587/transfun.e102.a.1642
• ISSN: 17451337
• ISSN: 09168508
• Web Site: https://www.jstage.jst.go.jp/article/transfun/E102.A/12/E102.A_1642/_pdf
• 本文言語コード: en
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