The signal coherence on target is vulnerable toconfiguration perturbationsof an airborne distributed radar system where radar nominal positions are disturbed by unknown position errors to radar actual positions in three-dimensional space. This article copes with the configuration calibration problem of an airborne distributed radar system using several auxiliary devices in known locations, e.g., ground auxiliary receivers. To warrant parameter identifiability, for given transmitted signals from radars, two types of echoes are exploited, including the internal ones received by radars and external ones received by auxiliary receivers. The range measurements can be extracted from these echoes subsequently. The theoretical analysis claims that an identifiability condition for configuration calibration, precluding pathological configurations, is to have at least two auxiliary receivers when the location of one radar is known. Besides, configuration calibration is a highly nonlinear problem due to the coupling of position errors between two different radars and to the existence of second-order position error terms in the range measurement equations. We introduce the novel idea of auxiliary ranges to eliminate the second-order position error terms and the iterative fashion to handle the coupling in the methodology to enable the formulation of pseudolinear equations, thereby leading to the establishment of an algebraic solution for radar position estimation. Numerical simulations are included to corroborate the theoretical results and to demonstrate the superiority of the devised method in comparison with the state-of-the-art methods.

中文翻译：

---

机载分布式雷达系统的高效配置校准


目标上的信号相干性容易受到机载分布式雷达系统的配置扰动的影响，其中雷达标称位置受到三维空间中雷达实际位置的未知位置误差的干扰。本文解决机载分布式雷达系统的配置校准问题，该系统使用已知位置的多个辅助设备（例如地面辅助接收机）。为了保证参数的可识别性，对于给定的雷达发射信号，利用两种类型的回波，包括雷达接收的内部回波和辅助接收器接收的外部回波。随后可以从这些回波中提取距离测量值。理论分析认为，排除病态配置的配置校准的可识别性条件是，当一台雷达的位置已知时，至少有两个辅助接收机。此外，由于两个不同雷达之间的位置误差耦合以及距离测量方程中二阶位置误差项的存在，配置校准是一个高度非线性的问题。我们引入了辅助距离的新颖思想来消除二阶位置误差项，并引入迭代方式来处理方法中的耦合，从而能够制定伪线性方程，从而建立雷达位置估计的代数解。数值模拟是为了证实理论结果并证明所设计的方法与最先进的方法相比的优越性。