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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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41#
發(fā)表于 2025-3-28 15:27:17 | 只看該作者
Hidden Markov Model Processinglittle less daunting, and yet more mysterious, than the term ., which is a translation familiar to people in systems theory, or its applications areas of estimation and control theory. The term HMM is frequently restricted to models with states and measurements in a discrete set and in discrete time
42#
發(fā)表于 2025-3-28 21:17:13 | 只看該作者
Discrete States and Discrete ObservationsThey transit between elements in this set with transition probabilities dependent only on the previous state, and so are .. The . are independent of time, 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 p
43#
發(fā)表于 2025-3-29 00:33:38 | 只看該作者
Continuous-Range Observationsorrupted by noise. For simplicity, we assume Gaussian noise. The main tool is again a version in discrete time of Girsanov’s theorem. An explicit construction is given of a new measure . under which all components of the observation process are .(0,1) i.i.d. random variables. Working under . we obta
44#
發(fā)表于 2025-3-29 05:24:55 | 只看該作者
45#
發(fā)表于 2025-3-29 09:14:54 | 只看該作者
A General Recursive Filterdynamics are considered. In Section?5.7 the results are extended to a parameter estimation problem. In this case the same noise enters the signal and observations. In Section?5.8, an abstract formulation is given in terms of .. Finally, in Section?5.9 we discuss a correlated noise case, where the no
46#
發(fā)表于 2025-3-29 14:15:11 | 只看該作者
Practical Recursive Filterseech processing , and biological signal processing (Rabiner 1989; Chung, Krishnamurthy and Moore 1991). A limitation of the techniques presented in the previous chapters for such applications is the curse of dimensionality which arises because the computational effort, speed, and memory requirements
47#
發(fā)表于 2025-3-29 18:54:15 | 只看該作者
48#
發(fā)表于 2025-3-29 20:52:41 | 只看該作者
49#
發(fā)表于 2025-3-30 00:17:14 | 只看該作者
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