... distance between the two sensors iszero, both the union and intersection of the circles arethecirclesthemselves,thusthecoverageareaoftheAND rule(A∧e)is larger. On the other hand, as the 0 100 ... larger the threshold the sooner the cutoff appearsand the lower the false alarm probability. Assuming thatpd|EDtakes the form of the step function (see Figure 1),then the coverage area of the ... pre-sent the model we have adopted and the underlyingassumptions. Then, in Sect. III, we present the details of the optimal detector (OD), the ED, the CD and the ECD as they apply to a pair of sensor...