Scaling Laws For Distributed Estimation Over Orthogonal Fading Channels

Abstract

We analyze the outage for distributed estimation over orthogonal fading channels as a function of the number of sensors K. We consider a scenario of fixed power per-sensor with an asymptotically large number of sensors. We characterize the scaling law of the outage and show that the outage decays faster than exponentially in the number of sensors and slower than exp(-K log K).