Spatial fidelity and estimation in sensor networks

We consider spatial fidelity in sensor networks and show that many problems in such networks are not well defined without it. The sensor networks gathering data on multiple point sources, or a distributed source such as bandlimited or nonbandlimited field are considered. The field could either be deterministic or random. For these networks, we derive the conditions leading to cooperation between the power constrained sensor nodes for the data fusion purposes and analyze the sensor density given spatial fidelity constraints and node cooperation. We also propose heuristics for sampling density for distributed sensor networks.