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Tail-Biting Trellises for a Tail-Biting Convolutional Code

机译:咬尾卷积码的咬尾格子

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摘要

In this paper, we investigate the tail-biting trellis structure and its complexity of a linear block code derived from a tail-biting convolutional code. We apply the results which have been obtained in connection with linear block codes. For the purpose, we take a concrete linear block code derived from a tail-biting convolutional code. We show that the conventional tail-biting trellis corresponding to the original convolutional code is not minimal in terms of the state-complexity. We also clarify the relationship between Koetter-Vardy (KV) trellises, tail-biting BCJR trellises, and tail-biting BCJR-dual trellises. Moreover, we present a method of obtaining another characteristic matrix from a characteristic matrix of a given code.
机译:在本文中,我们研究了从咬尾卷积码导出的线性分组码的咬尾网格结构及其复杂性。我们应用结合线性块码获得的结果。为此,我们采用了从尾部咬合卷积码中得出的具体线性块码。我们表明,与原始卷积码相对应的常规咬尾网格在状态复杂度方面并非最小。我们还阐明了Koetter-Vardy(KV)网格,咬尾BCJR网格和咬尾BCJR双网格之间的关系。此外,我们提出了一种从给定代码的特征矩阵中获取另一个特征矩阵的方法。

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