@Article{cmc.2020.010290,
AUTHOR = {Lin Zhao, Xiaobo Chen, Jianhua Cheng, Lianhua Yu, Chengcai Lv, Jiuru Wang},
TITLE = {New Three-Dimensional Assessment Model and Optimization of Acoustic Positioning System},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {64},
YEAR = {2020},
NUMBER = {2},
PAGES = {1005--1023},
URL = {http://www.techscience.com/cmc/v64n2/39342},
ISSN = {1546-2226},
ABSTRACT = {This paper addresses the problem of assessing and optimizing the acoustic 
positioning system for underwater target localization with range measurement. We 
present a new three-dimensional assessment model to evaluate the optimal geometric 
beacon formation whether meets user requirements. For mathematical tractability, it is 
assumed that the measurements of the range between the target and beacons are corrupted 
with white Gaussian noise with variance, which is distance-dependent. Then, the 
relationship between DOP parameters and positioning accuracy can be derived by 
adopting dilution of precision (DOP) parameters in the assessment model. In addition, the 
optimal geometric beacon formation yielding the best performance can be achieved via 
minimizing the values of geometric dilution of precision (GDOP) in the case where the
target position is known and fixed. Next, in order to ensure that the estimated positioning 
accuracy on the region of interest satisfies the precision required by the user, geometric 
positioning accuracy (GPA), horizontal positioning accuracy (HPA) and vertical 
positioning accuracy (VPA) are utilized to assess the optimal geometric beacon 
formation. Simulation examples are designed to illustrate the exactness of the conclusion. 
Unlike other work that only uses GDOP to optimize the formation and cannot assess the 
performance of the specified size, this new three-dimensional assessment model can 
evaluate the optimal geometric beacon formation for each dimension of any point in 
three-dimensional space, which can provide guidance to optimize the performance of 
each specified dimension.},
DOI = {10.32604/cmc.2020.010290}
}