A wireless communications network may include multiple nodes, one of which is selected as a master node. The nodes may take turns broadcasting respective packets according to a predetermined broadcast schedule. During any given broadcast iteration, each node may broadcast a packet while the other remaining nodes receive the broadcast packet in parallel. In response to receiving the broadcast packet, each node may be configured to obtain desired estimated timing values. The estimated timing values may be transmitted back to the master node for use in computing time-of-flight information. Frequency-synchronization operations may be periodically performed to help reduce timing errors. The time-of-flight information, along with other location-based metrics, may be used in determining the relative positions of the multiple nodes in the network.