A Large Deviations Approach to Sensor Scheduling for Detection of Correlated Random Fields

The problem of scheduling sensor transmissions for the detection of correlated random fields using spatially deployed sensors is considered. Using the large deviations principle, a closed-form expression for the error exponent of the miss probability is given as a function of the sensor spacing and signal-to-noise ratio (SNR). It is shown that the error exponent has a distinct characteristic: at high SNR, the error exponent monotonically increases with respect to sensor spacing, while at low SNR, there is an optimal spacing for scheduled sensors.