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Article Dans Une Revue IEEE Signal Processing Letters Année : 2020

Suboptimal Kalman filtering in triplet Markov models using model order reduction

Résumé

When the state space dimension increases, the computational burden can become a major challenge for optimal Kalman filtering in Gaussian triplet Markov models (TMMs). In this paper, we introduce a new model order reduction technique applicable to linear time-homogeneous Gaussian TMMs. Taking advantage of the lower state dimension of the resulting approximate model, a low-complexity suboptimal Kalman filter is obtained. The proposed estimator provides complexity reduction without significant accuracy loss and is shown to outperform two classical methods in the case of Markovian process noise.
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Dates et versions

hal-02962294 , version 1 (09-10-2020)

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Frederic Lehmann, Wojciech Pieczynski. Suboptimal Kalman filtering in triplet Markov models using model order reduction. IEEE Signal Processing Letters, 2020, 27, pp.1100-1104. ⟨10.1109/LSP.2020.3002420⟩. ⟨hal-02962294⟩
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