站址误差下多基外辐射源雷达BR/DR定位CTLS算法

    The CTLS Algorithm Based on the BR/DR for Multistatic Passive Localization with Transmitter and Receiver Position Errors

    • 摘要: 针对发射站和接收站同时存在传感器位置误差的多基外辐射源定位场景,提出了一种联合双基距(BR)和直达波距离(DR)的约束总体最小二乘定位算法。该算法引入辅助变量将非线性BR的观测方程进行线性化处理,利用伪线性化后BR定位方程的代数特点引入DR量测,并将定位问题描述为约束总体最小二乘(CTLS)模型,并采用牛顿迭代法求解。最后,推导了克拉美罗下界(CRLB)和算法理论误差。仿真实验表明,在适中的误差噪声水平下,所提算法的定位性能能够达到CRLB,且高水平噪声下所提算法的性能明显优于两步加权最小二乘法,具有更好的噪声适应水平。

       

      Abstract: A constrained total least squares (CTLS) algorithm based on the bistatic range (BR) and direct range (DR) measurements for the multistatic passive radar localization problem with transmitter and receiver errors. An auxiliary variable is selected to linearize the nonlinear BR equations, and the algebraic characteristics of pseudo linear localization equations of BR is introduced to the DR measurement. Then a constrained total least squares (CTLS) model is constructed, which is solved by Newton's method. The Cramer-Rao Lower Bound (CRLB) and the theoretical error of the algorithm are then derived and analyzed. Simulation experiments show that the estimated error of the proposed CTLS algorithm can reach CRLB under moderate level of noises. Its position error is lower than that of the two-step weighted least squares under high level of noises, which means a better noise adaptation level.

       

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