• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

J4 ›› 2012, Vol. 34 ›› Issue (6): 12-17.

• 论文 • 上一篇    下一篇

三边测量法的结果稳定性研究

王小平1,罗军1,沈昌祥2   

  1. (1.国防科学技术大学计算机学院,湖南 长沙 410073;2.海军计算技术研究所,北京 100841)
  • 收稿日期:2010-03-25 修回日期:2010-06-21 出版日期:2012-06-25 发布日期:2012-06-25
  • 基金资助:

    国家自然科学基金资助项目(61170261,60903224)

Research on the Stability of Trilateration Algorithms

WANG Xiaoping1,LUO Jun1,SHEN Changxiang2   

  1. (1.School of Computer Science,National University of Defense Technology,Changsha 410073;
    2.Institute of Naval Computer Technology,Beijing 100841,China)
  • Received:2010-03-25 Revised:2010-06-21 Online:2012-06-25 Published:2012-06-25

摘要:

定位技术作为网络应用和服务的支撑技术,是无线传感器网络研究的热点问题之一。其中,三边测量法是定位技术的基础,是构建复杂定位系统的基本模块。本文针对三边测量法最优化过程对迭代初值敏感的问题,对结果的稳定性展开研究,提出一种新的三边测量法的迭代最优化的初值选择算法GICC。对比多种三边测量法的实现技术,GICC算法能够自适应地寻找全局最优解,使得三边测量法通过简单下降法即可得到全局最优解,从而避免陷入局部极小解。通过仿真实验证明该算法能有效保证三边测量法结果的稳定性,即保证三边测量法的结果误差一直保持在较低的水平上,从而显著减小全网定位的误差。

关键词: 定位, 三边测量法, 无线网络, 最优化, 最小二乘

Abstract:

Localization is one of the major supportive techniques for the application and services, making it a research focus in wireless sensor networks. Trilateration is the basis of localization techniques, which is a primary building block of many complicated localization systems. This paper studies the stability of the optimization of trilateration, which is very sensitive to the initial value. We propose a new algorithm, named GICC, to conquer such difficulties. Compared with the existing implementation schemes of trilateration, GICC allows the optimization process of trilateration to obtain the global minimum by a simple gradientbased descent method. We conduct extensive simulations to evaluate the effectiveness of the proposed method. The results show that GICC can effectively avoid local minima, and diminish the errors of the localization result significantly.

Key words: localization;trilateration;wireless network;optimization;least square