In this report, we will provide the detailed theoretical analysis including some omitted proofs in our latest submission to Infocom 2008. For more details about the framework protocol, numeric and simulation results, please refer to our submission. I. THEORETICAL ANALYSIS In this section, we give details for calculating false detection probability (PFD) and detection probability (PD). Before proceeding to that, we first introduce the concepts of detection zone and fusion range for the proposed framework. A. Detection Zone (D.Z.) and Fusion Range 0 0.05 0.1 0.15 0.2 0.25 0.3 0 0.2 0.4 0.6 0.8 1 d (unit) PA R d Rd Rf Object Sentry Node Detection Zone (a) (b)