Designing Conservative Sensor Detection Systems With the Scan Statistic Under Emitter Location Uncertainty
Benedito J. B. Fonseca · IEEE Transactions on Signal and Information Processing over Networks · 2019
When designing a sensor system to detect a target emitter in a region of interest, a fusion rule based on the scan statistic can provide improved detection performance when the emitter is uniformly distributed in the region; however, in many applications, the distribution of the emitter location is unknown. In these cases, a possible approach is to design the system considering a least favorable distribution for the emitter location. It is however difficult to find such a distribution because of the difficulty in computing the probabilities of false alarm (PFA) and detection (PD) of the scan statistic. To circumvent this difficulty, this paper proposes both lower and upper bounds for PD, and presents a procedure to obtain a tight lower bound. With these bounds and procedure, systems that ensure a minimum PDunder a PFAconstraint can be designed.