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Binary prefix codes ending in a '1'

机译:以“ 1”结尾的二进制前缀代码

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Binary prefix codes with the constraint that each codeword must end with a "1" have been recently introduced by Berger and Yeung (1990). We analyze the performance of such codes by investigating their average codeword length. In particular, we show that a very simple strategy permits the construction of a "1"-ended binary prefix code whose average codeword length is less than H+1 for any discrete source with entropy H. We also prove a tight lower bound on the optimal average codeword length in terms of H and of the minimum letter probability of the source. Finally, we discuss the problem of finding an optimum feasible code.
机译:Berger和Yeung(1990)最近引入了二进制前缀码,其约束是每个码字必须以“ 1”结尾。我们通过调查此类代码的平均代码字长度来分析其性能。特别是,我们证明了一种非常简单的策略可以构造“ 1”端二进制前缀码,对于任何带有熵H的离散源,其平均码字长度均小于H + 1。我们还证明了以H和信源的最小字母概率表示的最佳平均码字长度。最后,我们讨论寻找最佳可行代码的问题。

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