Range-based node localization algorithm for wireless sensor network using Unitary Matrix pencil

The problem of node positioning in wireless sensor network (WSN) is investigated in this paper. Unitary Matrix pencil (UMP) algorithm, which is a MP algorithm with utilization of a unitary transform to estimate direction of arrival (DOA), is extended to estimate the time-of-arrival (TOA) in order to measure the propagation distance from an unknown node to an anchor node, of which the computational complexity can be reduced significantly. Then a novel range-based node localization method is put forward for WSN, which combines UMP algorithm, multilateral localization with Taylor algorithm or Chan algorithm. Multilateral localization promotes the accuracy of the proposed algorithm. The proposed method has some superiorities, such as higher positioning accuracy, smaller computational amount, suppression over non-Gaussian noise, energy saving, faster executing, etc.