Sequential Problems in Decentralized Detection With Communication
Sequential problems in decentralized detection are considered. One or more peripheral sensors can make repeated noisy observations of a binary hypothesis on the state of the environment. At each time, a peripheral sensor has to decide whether to stop and send a final binary message to a coordinating sensor/fusion center or to continue taking measurements. Every time a peripheral sensor postpones its final message to the coordinating sensor, it incurs a penalty. The coordinating sensor's operation is explored under two different scenarios. In the first scenario, the coordinating sensor waits to receive the final message from each of the peripheral sensors and then starts taking measurements of its own. Every time the coordinating sensor takes a measurement, it incurs a penalty/measurement cost.