Abstract

In order to analytically evaluate the characteristics of the multilevel coding method using finite interleaving for a fading communication channel, an evaluation method for coding performance is proposed. In this method, the error rate of PSK after passing through a fading communication channel in which the gain variations at different times are statistically not independent is approximated by a Markov model. The state transition probability and the transfer gain of the Markov model are optimized by the use of a genetic algorithm. Next, the characteristic evaluation equation of the multilevel coding method for this Markov approximation model is derived. In this derivation, the characteristic evaluation equation is derived in the following way. The generation probability of the error in each level is derived as a function of the number of generations of the states in the section of the coding length and the error rate is averaged by the state generation probability. With this evaluation equation, the error rate after decoding with finite interleaving is derived and the optimum coding method is clarified. © 2000 Scripta Technica, Electron Comm Jpn Pt 3, 84(2): 65–75, 2001

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