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Universal coding for arbitrarily varying sources

机译:通用编码,用于任意变化的源

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The minimum universal coding redundancy for finite-state arbitrarily varying sources, is investigated. If the space of all possible underlying state sequences is partitioned into types, then this minimum can be essentially lower bounded by the sum of two terms. The first is the minimum redundancy within the type class and the second is the minimum redundancy associated with a class of sources that can be thought of as "representatives" of the different types. While the first term is attributed to the cost of uncertainty within the type, the second term corresponds to the type itself. The bound is achievable by a Shannon code w.r.t an appropriate two-stage mixture of all arbitrarily varying sources in the class.
机译:研究了有限状态任意变化源的最小通用编码冗余。如果将所有可能的基础状态序列的空间划分为多个类型,则该最小值实质上可以由两个项之和的下界限制。第一个是类型类别内的最小冗余,第二个是与可被视为不同类型的“代表”的源类别相关联的最小冗余。第一项归因于类型内不确定性的代价,而第二项则对应于类型本身。可以通过香农代码将类中所有任意变化的源的适当的两阶段混合实现此界限。

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