运筹学学报 ›› 2015, Vol. 19 ›› Issue (3): 140-150.doi: 10.15960/j.cnki.issn.1007-6093.2015.03.017

• 运筹学 • 上一篇    下一篇

基于噪声误差模型的不规则区域室内定位和锚点分布优化

赵丽芳1, 鲁习文1,*, 杨一宸1   

  1. 1. 华东理工大学理学院数学系, 上海, 200237
  • 收稿日期:2015-06-04 出版日期:2015-09-15 发布日期:2015-09-15
  • 通讯作者: 鲁习文 xwlu@ecust.edu.cn
  • 基金资助:

     国家自然科学基金(No.11371137)

Indoor localization in geometric region and anchor distribution optimization analysis based on noise error model

ZHAO Lifang1, LU Xiwen1,*, YANG Yichen1   

  1. 1. Department of Mathematics, College of Science, East China University of Science and Technology, Shanghai 200237, China
  • Received:2015-06-04 Online:2015-09-15 Published:2015-09-15

摘要:

结合实际工业背景,研究了一类在不规则区域且误差不服从高斯分布的室内无线定位问题.给出了噪声误差模型, 在对多个传统定位算法进行性能分析的基础上,研究了待定位区域内锚点阵列的分布, 改进了多锚点阵列下的定位方法,并提出基于Delaunay三角剖分锚点分布优化模型和求解方法.

关键词: 室内定位, 最佳锚点数, 不规则区域

Abstract:

Indoor localization problem in geometric region from industrial practice based on noise error model is considered. With performance and comparison of traditional location algorithms and numerical experiments, we study the optimal number and distribution of anchors, improve the location theory of anchor array and furthermore present an optimization model of anchors distribution based on Delaunay triangulation and its effective algorithm.

Key words: indoor localization, optimal number of anchor, geometric region