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摘要:
针对现有算法定位精度低，稳健性差的问题，该文基于误差校正的思想，改进了经典两步加权最小二乘(TSWLS)算法的步骤2，提出一种站址误差条件下基于到达时间差(TDOA)和到达频率差(FDOA)的高精度、稳健动目标无源定位算法。所提算法的步骤2对步骤1中引入的辅助变量进行泰勒展开以构建误差校正方程，避免了经典两步加权最小二乘算法中的矩阵缺秩问题和非线性运算，提高了算法的稳健性和定位精度。理论分析表明，在小噪声条件下该算法定位精度可达克拉美罗下界(CRLB)。仿真结果表明，在常见量级的站值误差及测量误差下，相比于现有算法，该文算法具有更强的稳健性和更优的抗噪性。
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关键词:
- 动目标定位 /
- 到达时间差(TDOA) /
- 到达频率差(FDOA) /
- 站址误差 /
- 误差校正 /
- 稳健性
Abstract:To address the low location accuracy and poor robustness of existing methods, error correction to improve the Stage 2 of the original Two-Stage Weighted Least Squares (TSWLS)-based methods is proposed, which involves a robust moving source localization method with high accuracy based on Time Difference Of Arrival (TDOA) and Frequency Difference Of Arrival (FDOA) in the presence of receiver location errors. This newly proposed Stage 2 performs Taylor expansion on the nuisance variables introduced in Stage 1 to construct the error correction equation, thereby avoiding the rank deficiency problem and nonlinear mathematical operations in the original TSWLS-based methods; and improving the robustness and location accuracy of the method. Theoretical analysis indicates that the proposed method can attain the Cramer-Rao Lower Bound (CRLB) under small noise condition. Simulation results show the proposed method has stronger localization robustness and better anti-noise performance over the existing methods under the common level of receiver location and measurement error.
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表 1 接收站位置(m)及速度(m/s)
Table 1. Position(m) and velocity(m/s) of receivers
接收站 ${x_i}$ ${y_i}$ ${z_i}$ ${\dot x_i}$ ${\dot y_i}$ ${\dot z_i}$ 1 300 100 150 30 –20 20 2 400 150 100 –30 10 20 3 300 500 200 10 –20 10 4 350 200 150 10 20 30 5 –100 –100 –100 –20 10 10 6 200 –300 –200 20 –10 10 
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