Abstracl-It is often useful to h o w the geographic positions of nodes in a communications network, but adding GPS receivers or other sophisticated sensors to every node can he expensive. MDS-MAP is a recent localization method based on multidimensional scaling (MDS). It uses connectivity information-who is within communications range of whom-to derive the locations of the nodes in the network, and can take advantage of additional data, such as estimated distances between neighbors or known positions for certain anchor nodes, if they are available. However, MDS-MAP is an inherently centralized algorithm and is therefore of Umited utility in many applications. In this paper, we present a new variant of the MDS-MAP method, which we call MDS-MAP(P) standing for MDS-MAP wing patches of relative maps, that can be executed in a distributed fashion. Using extensive simulations, we show that the new algorithm not only preserves the gwd performance of the original method on relatively uniform layouts, hut also performs much better than the original on irregularly-shaped networks. The main idea is to build a local map at each node of the immediate vicinity and then merge these maps together to form a global map. This approach works much better for topologies in which the shortest path distance between two nodes does not correspond well to their Euclidean distance. We also discuss an optional refinement step that improves solution quality even further at the expense of additional computation.
MDS-MAP(P) proposed by Shang et al REF uses multidimensional scaling (MDS) and local distance information.
Improved MDS-based localization
IEEE INFOCOM 2004
IEEE INFOCOM 2004
Computer Science