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    On linear encoder-decoder design for multi-sensor state estimation subject to quantization noise and channel erasure


    Shirazinia, Amirpasha and Dey, Subhrakanti (2016) On linear encoder-decoder design for multi-sensor state estimation subject to quantization noise and channel erasure. In: 2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC). IEEE. ISBN 978-1-5090-1750-8

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    Abstract

    We consider remote state estimation of a scalar stationary linear Gauss-Markov process observed via noisy measurements obtained by two sensors. The sensors can construct a causal linear function of their measurements, which are quantized and transmitted to a decoder (or fusion centre (FC)) over channels which are prone to packet erasures. We design linear encoding and decoding strategies for estimating the state of the linear system that allow improved estimation performance in the presence of packet erasures and quantization errors. To this end, we construct and compare various distributed encoding and decoding methods without any feedback from the FC regarding the channel erasures. We also design various decentralized benchmark methods that either assume perfect feedback from the FC or in addition co-location of the two sensors resulting in a centralized scheme with diversity. These benchmark methods provide various lower bounds for the distributed encoding-decoding schemes designed without feedback. Numerical results indicate i) that optimal decentralized design of the encoders and the decoder in the absence of feedback can provide a remote state estimation performance that is comparable to those achieved by the lower bounds (with feedback) particularly when the sensors are identical and their channels are symmetric, and (ii) a little feedback from the decoder can improve the performance considerably when the channels are asymmetric (i.e. the packet erasure probabilities are unequal).

    Item Type: Book Section
    Additional Information: Cite as: A. Shirazinia and S. Dey, "On linear encoder-decoder design for multi-sensor state estimation subject to quantization noise and channel erasure," 2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), 2016, pp. 1-6, doi: 10.1109/SPAWC.2016.7536761.
    Keywords: linear encoder-decoder; design; multi-sensor state estimation; subject; quantization; noise; channel erasure;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 14541
    Identification Number: https://doi.org/10.1109/SPAWC.2016.7536761
    Depositing User: Subhrakanti Dey
    Date Deposited: 15 Jun 2021 14:48
    Publisher: IEEE
    Refereed: Yes
    URI:
    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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