基于辅助源的同步误差下多频率融合直接定位

Direct Position Determination based on multi-frequency fusion under synchronization errors of auxiliary sources

摘要:

针对架设单天线的分布式定位传感器间的同步误差，提出一种基于单一辅助源的多频率融合直接定位(DPD)算法。将传感器接收到的信号进行分段，将宽带信号的频域数据转换成若干个单频信号的集合；利用传感器接收到的单辅助源信号对同步误差矩阵进行预补偿，将其代入来自目标辐射源的接收数据中，再融合多个单频信号下的子空间正交关系，结合拉格朗日乘子法构造分离未知衰减系数的最小化代价函数；最后对目标区域划分网格，通过代价函数的峰值搜索进行辐射源的估计。仿真测试结果验证了本文算法的有效性。在给定参数条件下，与另一种基于单辅助源的直接定位算法相比，本文算法计算复杂度至少降低了86.91%，在不同的信噪比(SNR)和同步误差条件下都取得了更好的定位精确度。

Abstract:

Aiming at the synchronization errors between distributed positioning sensors equipped with single antennas, a multi-frequency fusion Direct Positioning Determination(DPD) algorithm based on a single auxiliary source is proposed. Firstly, the received signals are segmented, and the frequency-domain data of the wideband signals are converted into a set of single-frequency signals. Secondly, the synchronization error matrix is pre-compensated using the signals received from the single auxiliary source, and this matrix is then applied to the received data from the target radiation source. Next, the subspace orthogonality relationships under multiple single-frequency signals are fused, and a minimized cost function that separates the unknown attenuation coefficients is constructed using the Lagrange multiplier method. Finally, the target area is divided into a grid, and the radiation source is estimated through peak searching of the cost function. Simulation results validate the effectiveness of the proposed algorithm. Under given parameter conditions, compared with another single-auxiliary-source-based direct positioning algorithm, the computational complexity of this algorithm is reduced by at least 86.91%, achieving better positioning accuracy under different Signal-to-Noise Ratio(SNR) and synchronization error conditions.