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A Secure Optimum Distributed Detection Scheme in Under-Attack Wireless Sensor Networks
Abstract-We address the problem of centralized detection of a binary event in the presence of fraction falsiļ¬able sensor nodes (SNs) (i.e., controlled by an attacker) for a bandwidth constrained under attack spatially uncorrelated distributed wireless sensor network (WSN). The SNs send their one-bit test statistics over orthogonal channels to the fusion center (FC), which linearly combines them to reach to a ļ¬nal decision. Adopting the modiļ¬ed deļ¬ection coefļ¬cient as an alternative function to be optimized, we ļ¬rst derive in a closed-form the FC optimal weights combining. But as these optimal weights require a priori knowledge that cannot be attained in practice, this optimal weighted linear FC rule is not implementable. We also derive in a closed-form the expressions for the attacker āļ¬ipping probabilityā (deļ¬ned in paper) and the minimum fraction of compromised SNs that makes the FC incapable of detecting. Next, based on the insights gained from these expressions, we propose a novel and non-complex reliability-based strategy to identify the compromised SNs and then adapt the weights combining proportional to their assigned reliability metric. In this way, the FC identiļ¬es the compromised SNs and decreases their weights in order to reduce their contributions towards its ļ¬nal decision. Finally, simulation results illustrate that the proposed strategy signiļ¬cantly outperforms (in terms of FCās detection capability) the existing compromised SNs identiļ¬cation and mitigation schemes.
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