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On the use of a calibration emitter for direct position determination with single moving array in the presence of sensor gain and phase errors

机译：在使用传感器增益和相位误差的情况下使用校准发射器进行直接位置确定的直接位置确定

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摘要

The problem of direct position determination (DPD) with single moving array in the presence of deterministic sensor gain and phase errors is addressed. To reduce the loss in localization accuracy due to these errors, a calibration emitter with known position is introduced. The Cramer-Rao lower bound (CRLB) for estimating these errors using this calibration emitter are first derived in two situations that the calibration emitter signals are exactly known or unknown. An interesting property of the CRLB is concluded that its value is independent with the sensor phase errors. The paper then proceeds to propose a two step procedure where the considered errors are estimated in the first step and the positions of other emitters are determined by DPD given the estimated errors in the second step. In the first step, the two situations introduced above are respectively considered. For the former, the errors are jointly estimated based on Maximum Likelihood with analytical solution. For the latter, a method that estimating the sensor gain and phase errors in sequence is proposed, which performs independently with the phase errors as the CRLB does. Furthermore, analytical solutions of the errors without estimation accuracy degradation can be provided by this method. Besides, the theoretical localization bias caused by these errors is also provided. Numerical simulations are used to examine the performance of the proposed method and corroborate the theoretical results at last. (C) 2020 Elsevier Inc. All rights reserved.
机译：解决了确定性传感器增益和相位误差存在下单个移动阵列的直接位置确定（DPD）的问题。为了降低本地化精度的损失，由于这些错误，引入了具有已知位置的校准发射器。使用该校准发射器估计这些误差的Cramer-Rao下界（CRLB）首先在两个情况下得出的，即校准发射极信号恰好是已知的或未知。 CRLB的一个有趣性质得出结论，其价值与传感器相位误差无关。然后，该文件进行以提出在第一步中估计所考虑的误差的两个步骤过程，并且通过DPD在第二步中的估计误差确定其他发射器的位置。在第一步中，分别考虑了上述两种情况。对于前者，基于与分析解决方案的最大可能性共同估计错误。对于后者，提出了一种估计序列中的传感器增益和相位误差的方法，随着CRLB的表现，与相位误差独立执行。此外，通过该方法可以提供没有估计精度降解的误差的分析解。此外，还提供了由这些误差引起的理论定位偏差。数值模拟用于检查所提出的方法的性能，并终于证实理论结果。 （c）2020 Elsevier Inc.保留所有权利。

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