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TW-TOA based positioning in the presence of clock imperfections
Abstract
This manuscript studies the positioning problem based on two-way time-of-arrival (TW-TOA) measurements in semi-asynchronous wireless sensor networks in which the clock of a target node is unsynchronized with the reference time. Since the optimal estimator for this problem involves difficult nonconvex optimization, two suboptimal estimators are proposed based on the squared-range least squares and the least absolute mean of residual errors. We formulate the former approach as an extended general trust region subproblem (EGTR) and propose a simple technique to solve it approximately. The latter approach is formulated as a difference of convex functions programming (DCP), which can be solved using a concave–convex procedure. Simulation results illustrate the high performance of the proposed techniques, especially for the DCP approach. © 2016 Elsevier Inc- Article
- Clock imperfection
- Concave–convex procedure
- Convex optimization
- Positioning
- Trust region subproblems
- Two-way time-of-arrival (TW-TOA)
- Clocks
- Convex optimization
- Functions
- Sensor nodes
- Wireless sensor networks
- Difference of convex functions
- Nonconvex optimization
- Optimal estimator
- Positioning
- Residual error
- Sub-problems
- Trust region subproblem
- Two way time of arrivals (TW TOA)
- Time of arrival