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Titlebook: Hidden Markov Models; Estimation and Contr Robert J. Elliott,John B. Moore,Lakhdar Aggoun Book 1995 Springer-Verlag New York 1995 93E11, 93

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Discrete States and Discrete Observationsime, and so the Markov chains are said to be .. The Markov chain is not observed directly; rather there is a discrete-time, finite-state observation process {.},.∈ℕ, which is a noisy function of the chain. Consequently, the Markov chain is said to be . in the observations.
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Hidden Markov Random Fieldssets of random variables taking their indices from unordered countable sets, such as, for example, . in Euclidean spaces. Our goal is to derive algorithms that could be useful to restore, or filter, noisy or [as expressed by Besag (1986)] “dirty images.”
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Discrete-Time HMM Control The unnormalized conditional probabilities, which describe the state of the process given the observations, play the role of ., and the control problem can be recast as a . problem. . results and . are obtained, in terms of ., and . are described for each model.
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