In this paper, a novel algebraic closed-form method is proposed to estimate the position and velocity of a moving target in distributed multiple-input multiple-output radar systems with erroneous sensor locations by utilizing time delay and Doppler shift measurements. Unlike the existing methods that introduce nuisance parameters to build the pseudo-linear equations, the proposed method uses the singular value decomposition approach to establish new linear equations with regard to the target location with no nuisance parameters, and then derives a weighted least-squares (WLS) solution. To further improve the localization accuracy, the solution is refined through estimating the error by another WLS estimator. Based on the theoretical derivation and numerical simulations, the proposed estimator is demonstrated to be approximately unbiased and can attain the CRLB under small noise conditions. Moreover, the simulation results show that the proposed method achieves better target location accuracy than the state-of-the-art algorithms.

中文翻译：

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存在传感器定位误差的分布式 MIMO 雷达系统中移动目标定位的近似有效估计器

在本文中，提出了一种新的代数闭式方法，通过利用时间延迟和多普勒频移测量来估计具有错误传感器位置的分布式多输入多输出雷达系统中运动目标的位置和速度。与现有引入干扰参数构建伪线性方程的方法不同，该方法采用奇异值分解方法，针对没有干扰参数的目标位置建立新的线性方程，然后推导出加权最小二乘法（ WLS) 解决方案。为了进一步提高定位精度，通过另一个 WLS 估计器估计误差来改进解决方案。基于理论推导和数值模拟，所提出的估计器被证明是近似无偏的，并且可以在小噪声条件下达到 CRLB。此外，仿真结果表明，所提出的方法比最先进的算法实现了更好的目标定位精度。