2013 Proceedings IEEE INFOCOM 2013
DOI: 10.1109/infcom.2013.6566992
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Optimizing the collection of local decisions for time-constrained distributed detection in WSNs

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Cited by 13 publications
(5 citation statements)
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“…Similar to the proof shown in Appendix A of [43], by applying Gauss-Hermite quadrature integration, we can show that where J is the number of sample points, r j is the jth root of Hermite polynomial, and C j is the associated weight of the jth root. By using J = 1 , where r 1 = 0 and C 1 = √ π , we (36) m = nm log q m|1 q M+1|1…”
Section: Appendix C: Proof Of Propositionmentioning
confidence: 57%
See 1 more Smart Citation
“…Similar to the proof shown in Appendix A of [43], by applying Gauss-Hermite quadrature integration, we can show that where J is the number of sample points, r j is the jth root of Hermite polynomial, and C j is the associated weight of the jth root. By using J = 1 , where r 1 = 0 and C 1 = √ π , we (36) m = nm log q m|1 q M+1|1…”
Section: Appendix C: Proof Of Propositionmentioning
confidence: 57%
“…The necessary condition for the optimal transmission probabilities ρ ⋆ in (19) is that the function ∂ ∂ρ m P 0 P F + P 1 P M is equal to zero at ρ m = ρ ⋆ m for all m. The derivative By substituting ( 42) into (41) and after some mathematical arrangement, we can show that By setting (43) equal to zero, the term inside the curly brackets must be equal to zero and, after some mathematical arrangement, we have the following equality:…”
Section: Appendix D: Proof Of Propositionmentioning
confidence: 99%
“…However, this centralised data processing scheme suffers from energy-consuming multi-hop communication and is fragile to the failure of several critical relaying sensor nodes. To enable scalable data processing in a large-scale WSN, decentralised data processing has received extensive research interests recently (Predd et al, 2006;Wittenburg et al, 2012;Schmidt et al, 2012;Laitrakun and Coyle, 2013). In the decentralised data processing scheme, the sensor nodes no longer send their measurements to the fusion centre.…”
Section: Related Workmentioning
confidence: 99%
“…, clearly declare which class the target belongs to. The fusion center makes a decision according to some fusion rules, like counting rules [ 10 ], weighted sum [ 11 ], Neyman–Pearson criterion [ 12 ], or the max-log fusion [ 13 ]. The typical fusion HD scheme is the majority voting rule [ 14 ], though it has great advantage in easy implementation, the low fusion accuracy decreases it practicability.…”
Section: Introductionmentioning
confidence: 99%