Deterministic Sensor Data Scheduling Under Limited Communication Resource

We consider finite time-horizon sensor data scheduling under limited communication resource. A sensor can only send of its measurement data to a remote estimator within a time-horizon T >> d. When use the terminal estimation error covariance of the estimator as a performance metric, we provide an explicit form of the optimal data schedule; when use the average estimation error covariance as a performance metric, we provide a necessary condition for a schedule to be optimal for a general T. When T has a special form, the necessary condition allows us to construct an explicit optimal data schedule.