Abstract-Finding the positions of nodes in an ad hoc wireless sensor network (WSN) with the use of the incomplete and noisy distance measurements between nodes as well as anchor position information is currently an important and challenging research topic. However, most WSN localization studies have considered that the anchor positions and the signal propagation speed are perfectly known which is not a valid assumption in the underwater and underground scenarios. In this paper, semi-definite programming (SDP) algorithms are devised for node localization in the presence of these uncertainties. The corresponding Cramér-Rao lower bound (CRLB) is also produced. Computer simulations are included to contrast the performance of the proposed algorithms with the conventional SDP method and CRLB. Index Terms-Node localization, range measurements, semi-definite programming, sensor networks.
Lui et al. devised a semidefinite programming (SDP) algorithm for TOA-based localization in the presence of beacon positions and signal propagation speed uncertainties REF .
Semi-Definite Programming Algorithms for Sensor Network Node Localization With Uncertainties in Anchor Positions and/or Propagation Speed
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Computer Science Mathematics Engineering