Entropy Rate for Hidden Markov Chains with rare transitions

Computer Science – Information Theory

Scientific paper

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To appear in Hidden Markov Processes by Marcus, Petersen and Weissman (eds); CUP

Scientific paper

We consider Hidden Markov Chains obtained by passing a Markov Chain with rare
transitions through a noisy memoryless channel. We obtain asymptotic estimates
for the entropy of the resulting Hidden Markov Chain as the transition rate is
reduced to zero.

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