This paper proposes an adaptive inversion method of synchronization marker to design efficient insertion/deletion/substitution error correcting code. Unlike the conventional marker coding in which marker patterns are selected deterministically, the proposed method selects marker patterns adaptively. That is, the first bit and the last bit of each marker are conditionally inverted depending on the neighboring δ bits of an LDPC codeword, where δ is a shift resistance of the marker. This paper also shows a forward-backward algorithm to calculate the symbol-by-symbol likelihood of the adaptive marker coding. Evaluation shows that the adaptive marker coding reduces the bit error rate. For deletion/insertion error probability Pi = Pd = 0.01, substitution error probability Ps = 0.01, and code rate 0.44, the decoded BER of conventional coding is 9.29 × 10−4, while that of the proposed coding is 2.67 × 10−4.
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机译：提出了一种同步标记的自适应反演方法，以设计有效的插入/删除/替换纠错码。与其中确定性地选择标记图案的常规标记编码不同，所提出的方法自适应地选择标记图案。即，根据LDPC码字的相邻δ位，每个标记的第一位和最后一位被有条件地反转，其中δ是标记的移位电阻。本文还展示了一种前向后算法来计算自适应标记编码的逐个符号可能性。评估表明，自适应标记编码可降低误码率。对于删除/插入错误概率P i = P d = 0.01，替换错误概率P s = 0.01，码率0.44进行解码常规编码的BER为9.29×10 -4 ，而所提议的编码的BER为2.67×10 -4 。
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