Super MDS: Source Location from Distance and Angle Information

We consider the simultaneous localization of multiple sources from distance and angle information. An extension of the multidimensional scaling (MDS) technique is given, which allows for both distance and angle information to be processed algebraically (without iteration) and simultaneously. Simulations demonstrate the superiority the super MDS algorithm compared to conventional metric MDS, which relies only on Euclidean distances, and illustrate the impact that angle information may have on the accuracy of source localization. An advantage of the method is that localization under an absolute coordinate system is achievable with knowledge of the coordinates of a single node.