On white-space detection, localization and coverage
B. Santhana Krishnan, Rahul Vaze, Deepika Revankar Manjunath · 2014
In a finite area, let one transmitter be deployed according to distribution fT(·) and n sensors be deployed i.i.d. with distribution fS(·). Sensors can detect a transmission only within a distance of rnfrom their location. Using the sensor observations, we estimate the minimal region within which the transmitter is present, called the uncertainty interval. We obtain statistics and scaling laws on the volume of this uncertainty interval. If n nodes are deployed i.i.d. uniformly, then volume of the uncertainty interval scales as Θ(1/n). We also find the optimal sensor location distribution to maximize the probability that volume of the uncertainty interval is less than a chosen threshold.