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The construction of binary Huffman equivalent codes with a greater number of synchronising codewords

机译:具有更多同步码字的二进制霍夫曼等效码的构造

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An inherent problem with a Variable-Length Code (VLC) is that even a single bit error can cause a loss of synchronisation, and thus lead to error propagation. Codeword synchronisation has been extensively studied as a means to overcome this drawback and efficiently stop error propagation. In this paper, we first present the sufficient and necessary conditions for the existence of binary Huffman equivalent codes with the shortest, or at most two shortest, synchronising codeword(s) of length m + 1, where m (>1) is the shortest codeword length. Next, based on the results, we propose a unified approach for constructing each of these binary Huffman equivalent codes with the shortest, or at most two shortest, synchronising codeword(s) of length m + 1, if such a code exists for a given length vector.
机译:可变长度代码(VLC)的一个固有问题是,即使单个位错误也可能导致同步丢失,从而导致错误传播。已经广泛研究了码字同步,作为克服此缺点并有效地阻止错误传播的手段。在本文中,我们首先给出存在最短或最多两个最短同步码字(长度为m + 1)的二进制霍夫曼等效码的充分必要条件,其中m(> 1)最短码字长度。接下来,根据结果,我们提出一种统一的方法,以构造长度为m + 1的最短(或最多两个最短)同步码字的每个二进制霍夫曼等效码长度向量。

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