NIE Wei-ke, ZHU Cong-guang, FANG Ding-yi, et al. Moving nodes tracking algorithm realized in colored noise by randomly deployed planar sensor array[J]. 2014, 33(12): 141-145. DOI: 10.13873/J.1000-9787(2014)12-0141-05.
随机布署平面传感器阵列实现色噪声下运动节点跟踪算法
摘要
针对色噪声下的空间运动节点跟踪问题
提出一种新的辅助变量子空间跟踪算法。该算法采用秩1更新
构造两个无约束代价函数
求其递归最小二乘解跟踪信号子空间。得到信号子空间后
构造矩阵方程
通过最小二乘解实现空间运动节点的方向跟踪
所得空间二维角度能自动配对。在任意的平面传感器阵列下
所提算法和著名EIV-PAST算法均具有较好的节点跟踪性能
跟踪的信号子空间夹角和信号子空间误差较小
所提算法的正交性能显著优于EIV-PAST算法。
Abstract
A new subspace tracking algorithm based on instrumental variable is proposed to estimate the two dimension(2D) localization of aiming at tracking problem of spacial moving nodes in colored noise.By using the rank-one update model
two unconstrained cost functions are established
and signal subspace is derived through the recursive least square solution of the cost functions.Using this derived signal subspace
construct matrix equation and through lease square solution realize direction tracking of spacial moving node
the obtained 2D spacial angle can be paired automatically.In the case of arbitrary planar sensor array
the proposed algorithm and the well known EIV-PAST have good node tracking characteristics
signal subspace angle
signal subspace error are small
the orthonormality performance of proposed algorithm is much better than EIV-PAST algorithms.