Mathematical Foundations of Sensor Network Design Based On Linguistic Informatics

We propose a design approach for sensor networks based on formal linguistic representations of information. The approach exploits the concepts of space-time neighborhoods for dynamic sensor grid formation in the vicinity of an event, and symbolization and nonlinear filtering to formulate rigorous mathematical methods that capture the causal dynamics of distributed fusion processes. We formulate the Fundamental Equation of Linguistic Sensing relating physical design parameters to those in the Information Space, and lays the framework for design and operation of sensor networks that dynamically cluster sensing, processing and communications resources in space-time neighborhoods of emergent hotspots for efficient event tracking.