Abstract
For range based positioning the least square (LS) criterion and its produced solution exhibit superb estimation performance, but generally at a very high computational complexity. In this letter we consider the issue how to approach such LS solution in estimation performance at low computational complexity. We propose a novel algorithm that is based on the equations linearized from range measurement equations and implements a weighted least square criterion in a computationally efficient way. The proposed algorithm involves a quadratic equation linking the linearization-caused extra variable and the position to be estimated, thus results in a closed form solution.We analyze and simulate its estimation performance, and evidently show that the proposed algorithm can very closely approach the LS solution in estimation performance at a significantly low computational complexity.
Original language | British English |
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Article number | 5351702 |
Pages (from-to) | 5832-5836 |
Number of pages | 5 |
Journal | IEEE Transactions on Wireless Communications |
Volume | 8 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2009 |
Keywords
- Sensor localization
- Source localization
- Wireless ad hoc sensor network