Title : 
Power Allocation for distributed detection in a multiple-ring cluster
         
        
            Author : 
Laitrakun, Seksan ; Coyle, Edward J.
         
        
            Author_Institution : 
Sch. of ECE, Georgia Inst. of Technol., Atlanta, GA, USA
         
        
        
        
        
        
            Abstract : 
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.
         
        
            Keywords : 
convex programming; resource allocation; signal detection; telecommunication network topology; wireless sensor networks; Karush-Kuhn-Tucker conditions; channel SNR; convex programming; detection error probability; distributed detection; fusion center; multiple ring cluster; node distances; optimization problems; per-ring power constraint; power allocation; signal-to-noise ratio; total expected deflection coefficient; total power constraint; Fading; Optimization; Random variables; Resource management; Signal to noise ratio; Wireless sensor networks; Distributed detection; censoring; power allocation; water-filling solution;
         
        
        
        
            Conference_Titel : 
Statistical Signal Processing Workshop (SSP), 2012 IEEE
         
        
            Conference_Location : 
Ann Arbor, MI
         
        
        
            Print_ISBN : 
978-1-4673-0182-4
         
        
            Electronic_ISBN : 
pending
         
        
        
            DOI : 
10.1109/SSP.2012.6319737