2016 Fiscal Year Final Research Report
Reformulation of Information Theory by Using Smooth Renyi Entropy and Divergence
Project/Area Number |
26420343
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Communication/Network engineering
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Research Institution | Tokyo Institute of Technology |
Principal Investigator |
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Project Period (FY) |
2014-04-01 – 2017-03-31
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Keywords | ネットワーク情報理論 / 一般情報源 / 一般通信路 / スムースRenyiエントロピー / スムースRenyiダイバージェンス |
Outline of Final Research Achievements |
We reformulate various problems in information theory by using the smooth Renyi entropy and divergence, and provide a unified method to prove coding theorems. Actually, we reformulated following information theoretic problems: (1) The bound on the generation rates of uniform random numbers from output sequences of one or many sources. (2) The tradeoff relation between the distortion level and the rate of the encoder for source coding problems allowing the distortion. (3) The region of coding rates for source coding problems of correlated multiple sources. (4) The region of transmission rates for reliable communication through multiple inputs and single output channels.
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Free Research Field |
情報理論
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