2014
DOI: 10.1109/tcns.2014.2337975
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An Optimal Transmission Strategy for Kalman Filtering Over Packet Dropping Links With Imperfect Acknowledgements

Abstract: This paper presents a novel design methodology for optimal transmission policies at a smart sensor to remotely estimate the state of a stable linear stochastic dynamical system. The sensor makes measurements of the process and forms estimates of the state using a local Kalman filter. The sensor transmits quantized information over a packet dropping link to the remote receiver. The receiver sends packet receipt acknowledgments back to the sensor via an erroneous feedback communication channel which is itself pa… Show more

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Cited by 28 publications
(14 citation statements)
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“…For non-hybrid scenarios, Kalman filter is proved to be an unbiased estimator. Therefore, multiple papers have analyzed the performance of Kalman filters by only focusing on error covariance [22][23][24][25][26][27][28][29][30]. Specifically, [22][23][24][25][26][27][28]30] consider dynamical system with missing measures, intermittent observations, random delays, and packet dropouts and they follow the similar approach of deriving a bound for the critical probability of missing observation that ensures the convergence of error covariance.…”
Section: Related Workmentioning
confidence: 99%
“…For non-hybrid scenarios, Kalman filter is proved to be an unbiased estimator. Therefore, multiple papers have analyzed the performance of Kalman filters by only focusing on error covariance [22][23][24][25][26][27][28][29][30]. Specifically, [22][23][24][25][26][27][28]30] consider dynamical system with missing measures, intermittent observations, random delays, and packet dropouts and they follow the similar approach of deriving a bound for the critical probability of missing observation that ensures the convergence of error covariance.…”
Section: Related Workmentioning
confidence: 99%
“…Consider the power control law θ ef defined in (6). In order to guarantee that ω k is always nonnegative for any value ε k , the difference of Ψ −1 τ and Σ −1 τ needs to be at least positive semi-definite, i.e., two conditions must be simultaneously satisfied, which are Σ τ Ψ τ and Ψ −1…”
Section: Preliminariesmentioning
confidence: 99%
“…The literatures in sensor scheduling can be categorized according to whether the underling communication channel is idealized [7]- [9], lossy [3]- [6] or noisy [10]. The assumption of idealized channel condition ignores the underlying communication channel and simplifies the scheduling policy design.…”
Section: Introductionmentioning
confidence: 99%