Robust detection under communication constraints

We consider the design of robust hypothesis testing when the sensors censor their observations in order to comply with communication rate constraints. We assume that the sensors are identical and the communication constraint is divided evenly among the sensors. As a result, the scenario considered boils down to a single sensor communicating to a fusion center. The design phase is divided into two parts. In the first part, the censoring regions are assumed to be determined a priori and least favorable densities (LFDs) are sought for under the communication rate constraints whereas in the second part, the LFDs are determined a priori, satisfying the communication rate constraints by the use of a robustness parameter e.