A New Unified Method for Fixed-Length Source Coding Problems of General Sources
A New Unified Method for Fixed-Length Source Coding Problems of General Sources
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通用信源定长信源编码问题的统一新方法
DOI：
10.1587/transfun.e93.a.1868
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
T. Uyematsu
中科院分区：
文献类型：
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作者：
T. Uyematsu
本文针对通用信源的定长信源编码问题建立了一种新的统一方法。具体来说，我们引入了零阶平滑 Renyi 熵的另一种定义，并展示了一种根据该信息量表示固定长度编码率的统一方法。我们对平滑 Renyi 熵的定义具有明确的操作意义，因此对于有限的块长度很容易计算。此外，我们用平滑 Renyi 熵来表示各种电子源编码率和一般源的强逆性质，并将它们与 Han 和 Renner 等人获得的结果进行比较。
This paper establishes a new unified method for fixed-length source coding problems of general sources. Specifically, we introduce an alternative definition of the smooth Renyi entropy of order zero, and show a unified approach to present the fixed-length coding rate in terms of this information quantity. Our definition of the smooth Renyi entropy has a clear operational meaning, and hence is easy to calculate for finite block lengths. Further, we represent various e-source coding rate and the strong converse property for general sources in terms of the smooth Renyi entropy, and compare them with the results obtained by Han and Renner et al.