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 Cramér-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.

解决了在存在确定性传感器增益和相位误差的情况下使用单个移动阵列进行直接位置确定（DPD）的问题。为了减少由于这些误差导致的定位精度损失，引入了具有已知位置的校准发射器。使用校准发射器估算这些误差的Cramér-Rao下界（CRLB）首先是在两种情况下得出的，即校准发射器信号完全已知或未知。结论：CRLB的一个有趣特性是其值与传感器相位误差无关。然后，本文继续提出了一个两步过程，其中在第一步中估算了所考虑的误差，而在第二步中，在估算出误差的情况下，由DPD确定了其他辐射源的位置。在第一步中 分别考虑了上面介绍的两种情况。对于前者，误差是基于最大似然度和解析解共同估算的。对于后者，提出了一种顺序估计传感器增益和相位误差的方法，该方法与CRLB一样独立于相位误差执行。此外，通过该方法可以提供误差的解析解而不会估计精度降低。此外，还提供了由这些误差引起的理论定位偏差。数值模拟用于检验该方法的性能，并最终证实了理论结果。提出了一种顺序估计传感器增益和相位误差的方法，该方法与CRLB一样独立于相位误差执行。此外，通过该方法可以提供误差的解析解而不会估计精度降低。此外，还提供了由这些误差引起的理论定位偏差。数值模拟用于检验该方法的性能，并最终证实了理论结果。提出了一种顺序估计传感器增益和相位误差的方法，该方法与CRLB一样独立于相位误差执行。此外，通过该方法可以提供误差的解析解而不会估计精度降低。此外，还提供了由这些误差引起的理论定位偏差。数值模拟用于检验该方法的性能，并最终证实了理论结果。