Vanishing decay functions and enlarged deployment regions to facilitate the design of randomly deployed sensor detection systems

The design of randomly deployed sensor detection systems to detect a low-power signal emitter tends to be difficult because the measurements are conditionally dependent in general and the designer usually does not have all the information to characterize the distribution of measurements, making the alternative hypothesis composite. In this paper, it is shown that these two issues can be solved if the system designer considers a vanishing decay function and an enlarged sensor deployment region. It is shown that there are sufficient conditions under which such a design approach causes the measurements to become independent of the emitter location, causes the measurements to become conditionally independent and identically distributed, and generates a design that ensures a detection performance.