Error Control Coding, Second Edition
Error Control Coding, Second Edition
IEEE Transactions on Information Forensics and Security
Asymptotically good codes correcting insertions, deletions, and transpositions
IEEE Transactions on Information Theory
Reliable communication over channels with insertions, deletions, and substitutions
IEEE Transactions on Information Theory
CIAA'13 Proceedings of the 18th international conference on Implementation and Application of Automata
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We describe the operation of common convolutional decoding algorithms in the presence of insertions, deletions, as well as substitutions in the received message. We first propose a trellis description that can handle the existence of insertions and deletions. Then, we use this trellis diagram to develop the Viterbi algorithm and the Log-MAP algorithm in the presence of synchronization errors. The proposed techniques are presented in the most general form where standard convolutional codes are used and no change to the encoder is required. We establish the effectiveness of the proposed algorithms using standard convolutional codes at different rates.