Dey, Subhrakanti and Chiuso, Alessandro and Schenato, Luca (2014) Remote estimation with noisy measurements subject to packet loss and quantization noise. IEEE Transactions on Control of Network Systems, 1 (3). pp. 204-217. ISSN 2325-5870

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Abstract

In this paper, we consider the problem of designing coding and decoding schemes to estimate the state of a scalar stable stochastic linear system subject to noisy measurements and in the presence of a wireless communication channel between the sensor and the estimator. In particular, we consider a communication channel which is prone to packet loss and includes quantization noise due to its limited capacity. We study two scenarios: the first with channel feedback and the second with no channel feedback. More specifically, in the first scenario the transmitter is aware of the quantization noise and the packet loss history of the channel, while in the second scenario the transmitter is aware of the quantization noise only. We show that in the first scenario, the optimal strategy among all possible linear encoders corresponds to the transmission of the Kalman filter innovation, similar to the differential pulse-code modulation (DPCM) technique used in digital communications. In the second scenario, we show that there is a critical packet loss probability above which it is better to transmit the state rather than the innovation. We also propose a heuristic strategy based on the transmission of a convex combination of the state and the Kalman filter innovation which is shown to provide a performance close to the one obtained with channel feedback.

Item Type:	Article
Additional Information:	Cite as: S. Dey, A. Chiuso and L. Schenato, "Remote Estimation With Noisy Measurements Subject to Packet Loss and Quantization Noise," in IEEE Transactions on Control of Network Systems, vol. 1, no. 3, pp. 204-217, Sept. 2014, doi: 10.1109/TCNS.2014.2337961.
Keywords:	Channel feedback; differential encoding; Kalman filtering; packet loss; quantization noise;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	14313
Identification Number:	https://doi.org/10.1109/TCNS.2014.2337961
Depositing User:	Subhrakanti Dey
Date Deposited:	08 Apr 2021 16:08
Journal or Publication Title:	IEEE Transactions on Control of Network Systems
Publisher:	IEEE
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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