A Novel Method for Decoding Any High-Order Hidden Markov Model

作者:Ye, Fei*; Wang, Yifei
来源:Discrete Dynamics in Nature and Society, 2014, 2014: 231704.
DOI:10.1155/2014/231704

摘要

This paper proposes a novel method for decoding any high-order hidden Markov model. First, the high-order hidden Markov model is transformed into an equivalent first-order hidden Markov model by Hadar's transformation. Next, the optimal state sequence of the equivalent first-order hidden Markov model is recognized by the existing Viterbi algorithm of the first-order hidden Markov model. Finally, the optimal state sequence of the high-order hidden Markov model is inferred from the optimal state sequence of the equivalent first-order hidden Markov model. This method provides a unified algorithm framework for decoding hidden Markov models including the first-order hidden Markov model and any high-order hidden Markov model.