On optimal sensor collaboration topologies for linear coherent estimation

In the context of distributed estimation we consider the problem of sensor collaboration, which refers to the act of sharing measurements with neighboring sensors prior to transmission to a fusion center. While incorporating the cost of sensor collaboration, we aim to find optimal sparse collaboration topologies subject to a certain information or energy constraint. To achieve this goal, we present a tractable optimization framework and propose efficient methods to solve the formulated sensor collaboration problems. The effectiveness of our approach is demonstrated by numerical examples.