Retransmitting lost measurements to improve remote estimation

In this work, we consider the problem of remotely estimating a discrete-time system over a communication system with packet losses. To improve the estimates, we propose to acknowledge received measurement packets and retransmit lost measurements within the next measurement packet. Although previous works found no benefit in acknowledging and retransmitting measurement packets, we show that by a proper design of the retransmission scheme, it is possible to get optimal estimates without huge data transfers or preprocessing the measurements within the sensor.