Suboptimal Kalman Filtering in Triplet Markov Models Using Model Order Reduction | IEEE Journals & Magazine | IEEE Xplore

Suboptimal Kalman Filtering in Triplet Markov Models Using Model Order Reduction


Abstract:

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 ...Show More

Abstract:

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.
Published in: IEEE Signal Processing Letters ( Volume: 27)
Page(s): 1100 - 1104
Date of Publication: 15 June 2020

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