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首页> 外文期刊>IEEE Transactions on Vehicular Technology >Enumeration of Markov chains and burst error statistics for finite state channel models
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Enumeration of Markov chains and burst error statistics for finite state channel models

机译：有限状态通道模型的Markov链枚举和突发错误统计

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摘要

The analysis of a communication system operating over finite state channel (FSC) models includes the calculation of the probability of subsets of error sequences. These probabilities are known as burst error statistics. The study of the statistical description of the error process has immediate applications in the modeling of real channels and in the design of coding schemes for channels with memory. We present a method to derive analytic expressions for burst error statistics of FSC models with an arbitrary number of states. We follow the theory of enumeration of constrained sequences to obtain an expression for the generating series which enumerates all permissible error sequences that constitute the burst event of interest. We will show that the probability of this event is obtained by acting on the generating series with a linear mapping. Such an approach allows the derivation of various burst error statistics used in the design of a coded system for FSC models.
机译：在有限状态信道（FSC）模型上运行的通信系统的分析包括计算错误序列子集的概率。这些概率称为突发错误统计信息。对错误过程的统计描述的研究在实际通道的建模和带内存通道的编码方案设计中具有直接的应用。我们提出一种导出具有任意状态的FSC模型的突发错误统计信息的解析表达式的方法。我们遵循约束序列枚举的理论来获取生成序列的表达式，该表达式枚举构成目标突发事件的所有允许的错误序列。我们将显示此事件的概率是通过使用线性映射作用于生成序列来获得的。这种方法允许推导用于FSC模型的编码系统设计中使用的各种突发错误统计信息。

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