Title
Kalman Filtering in Triplet Markov Chains
Abstract
Let x = {xn} nisinIN be a hidden process, y = {yn}nisinIN an observed process, and r = {rn}nisinIN some additional process. We assume that t = (x, r, y) is a (so-called "Triplet") vector Markov chain (TMC We first show that the linear TMC model encompasses and generalizes, among other models, the classical state-space systems with colored process and/or measurement noise(s). We next propose restoration Kalman-like filters for arbitrary linear Gaussian (LG) TMC
Year
DOI
Venue
2006
10.1109/TSP.2006.877651
IEEE Transactions on Signal Processing
Keywords
Field
DocType
restoration kalman-like filter,classical state-space system,vector markov chain,measurement noise,additional process,kalman filtering,linear tmc model encompasses,hidden process,triplet markov chains,arbitrary linear gaussian,observed process,indexing terms,markov chain,kalman filter,markov processes,hidden markov chain,state space,kalman filters,gaussian processes
Discrete mathematics,Mathematical optimization,Markov process,Linear filter,Markov model,Markov chain,Speech recognition,Kalman filter,Gaussian,Gaussian process,Hidden Markov model,Mathematics
Journal
Volume
Issue
ISSN
54
8
1053-587X
Citations 
PageRank 
References 
11
0.86
4
Authors
2
Name
Order
Citations
PageRank
B. Ait-El-Fquih1110.86
Desbouvries, F.2304.19