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Power Allocation (PA) strategies are evaluated for distributed detection in a single-hop, multiple-ring cluster. The Detection Error Probability (DEP) is affected by the observation Signal-to-Noise Ratios (SNRs), the channel SNRs, and node distances. We seek the PA maximizing the total expected deflection coefficient of the received signals at the fusion center under different constraints: a total power constraint and a per-ring power constraint. Both optimization problems are convex, so the Karush-Kuhn-Tucker conditions lead to analytical expressions for the optimal PA. The DEPs from a uniform PA and the proposed PA are compared for various observation SNRs, channel SNRs, number of nodes, and number of rings.
Statistical Signal Processing Workshop (SSP), 2012 IEEE
Date of Conference: 5-8 Aug. 2012