The energy constrained wireless sensor nodes need very efficient localization algorithm for event detection. We propose a method for localizing the wireless sensor nodes using the concept of Cayley-Menger Determinants, which in turn uses a quadratic solver. This is a modification of the method proposed in Ref. . Cayley-Menger Detereminants are used to introduce corrections to the noisy measurements, so that the measured distances meets all the Euclidean geometric properties. Ref.  uses semidefinite programming with L1 norm, while Ref.  uses quadratic programming combined with Cayley-Menger Determinants. The proposed method is found to be computationally very much simpler and efficient than those in Ref. , and .
Dr. Maneesha V. Ramesh, Soman, K. P., and R., L., “Wireless Sensor Network Localization With Imprecise Measurements Using Only a Quadratic Solver.”, in the Proceedings of the 2009 International Conference on Wireless Networks (ICWN’09), 2009.