Further results on sensor network localization using rigidity

Two further results, which extend the previous work on the use of rigidity in sensor network localization, are given. The previous work provided the conditions for the localization of an entire network in which some nodes know their locations and other nodes determine their locations by measuring the distances to their neighbors. First, the paper gives the conditions for partial localization of a subnetwork when an entire network is not localizable. Second, the paper gives the conditions for localization in which some nodes know their locations and other nodes determine their locations by measuring the bearings (angle of arrivals) to their neighbors rather than the distances.