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提出一种基于距离和信号到达角信息的无线传感器网络节点自身定位算法。在所有节点的坐标轴方向都是未知的假定下,用信号到达角信息来计算信号到达角度差,然后将定位问题转化为一个凸集优化问题,节点间的几何关系也相应地转化成为线性或二次约束条件。当距离和角度测量值足够精确时,该算法是一个线性规划问题。考虑测量误差时,通过引入辅助变量,该算法可以转化为二次规划问题。通过仿真分析证明了该定位算法的有效性,并对距离和角度误差量对定位精度的影响进行了定量分析。仿真结果表明,在距离和角度误差为5%的时候,该定位算法可以满足定位精度要求。
A localization algorithm of wireless sensor network node based on distance and signal arrival angle information is proposed. Under the assumption that the directions of axes of all nodes are unknown, the signal arrival angle difference is calculated by using signal arrival angle information, and then the localization problem is transformed into a convex set optimization problem. The geometric relations between nodes are correspondingly converted into linear or Quadratic constraint. The algorithm is a linear programming problem when the distance and angle measurements are accurate enough. When considering the measurement error, the algorithm can be transformed into a quadratic programming problem by introducing auxiliary variables. The simulation results show the effectiveness of the localization algorithm and the quantitative analysis of the impact of the distance and angular error on the positioning accuracy. The simulation results show that the localization algorithm can meet the requirements of positioning accuracy when the distance and angle error is 5%.