Biswas, Sinchan, Dey, Subhrakanti, Knorn, Steffi and Ahlén, Anders (2020) On Optimal Quantized Non-Bayesian Quickest Change Detection with Energy Harvesting. IEEE Transactions on Green Communications and Networking, 4 (2). pp. 433-447. ISSN 2473-2400
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Abstract
In this paper, we consider a problem of decentralized
non-Bayesian quickest change detection using a wireless sensor
network where the sensor nodes are powered by harvested energy
from the environment. The underlying random process being
monitored by the sensors is subject to change in its distribution
at an unknown but deterministic time point, and the sensors
take samples (sensing) periodically, compute the likelihood ratio
based on the distributions before and after the change, quantize
it and send it to a remote fusion centre (FC) over fading channels for performing a sequential test to detect the change. Due
to the unpredictable and intermittent nature of harvested energy
arrivals, the sensors need to decide whether they want to sense,
and at what rate they want to quantize their information before
sending them to the FC, since higher quantization rates result in
higher accuracy and better detection performance, at the cost of
higher energy consumption. We formulate an optimal sensing and
quantization rate allocation problem (in order to minimize the
expected detection delay subject to false alarm rate constraint)
based on the availability (at the FC) of non-causal and causal
information of sensors’ energy state information, and channel
state information between the sensors and the FC. Motivated
by the asymptotically inverse relationship between the expected
detection delay (under a vanishingly small probability of false
alarm) and the Kullback-Leibler (KL) divergence measure at
the FC, we maximize an expected sum of the KL divergence
measure over a finite horizon to obtain the optimal sensing and
quantization rate allocation policy, subject to energy causality
constraints at each sensor. The optimal solution is obtained using
a typical dynamic programming based technique, and based on
the optimal quantization rate, the optimal quantization thresholds are found by maximizing the KL information measure per
slot. We also provide suboptimal threshold design policies using
uniform quantization and an asymptotically optimal quantization policy for higher number of quantization bits. We provide
an asymptotic approximation for the loss due to quantization of
the KL measure, and also consider an alternative optimization
problem with minimizing the expected sum of the inverse the
KL divergence measure as the cost per time slot. Numerical
results are provided comparing the various optimal and suboptimal quantization strategies for both optimization problem formulations, illustrating the comparative performance of these
strategies at different regimes of quantization rates.
Item Type: | Article |
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Additional Information: | Cite as: S. Biswas, S. Dey, S. Knorn and A. Ahlén, "On Optimal Quantized Non-Bayesian Quickest Change Detection With Energy Harvesting," in IEEE Transactions on Green Communications and Networking, vol. 4, no. 2, pp. 433-447, June 2020, doi: 10.1109/TGCN.2019.2961113. |
Keywords: | Energy harvesting; sensor networks; decentralized change-point detection; quantization; |
Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Electronic Engineering |
Item ID: | 14080 |
Identification Number: | 10.1109/TGCN.2019.2961113 |
Depositing User: | Subhrakanti Dey |
Date Deposited: | 25 Feb 2021 14:42 |
Journal or Publication Title: | IEEE Transactions on Green Communications and Networking |
Publisher: | IEEE |
Refereed: | Yes |
Related URLs: | |
URI: | https://mu.eprints-hosting.org/id/eprint/14080 |
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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