Distributed Compressive Detection with Perfect Secrecy

This paper considers the problem of distributed compressive detection under a perfect secrecy constraint. More specifically, we consider the problem where the distributed inference network operates in the presence of an eavesdropper who wants to discover the state of the nature being monitored by the system. It is shown that perfect secrecy can be achieved by using cooperating trustworthy nodes that assist the Fusion Center (FC) by providing falsified data to the eavesdroppers. We also consider the problem of determining optimal system parameters which maximize the detection performance at the FC, while ensuring perfect secrecy at the eavesdropper.