A comprehensive error calibration method based on dual uniform circular array

Jia-jia ZHANG; Hui CHEN; Song XIAO; Meng-yu NI

doi:10.1631/FITEE.1800240

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A comprehensive error calibration method based on dual uniform circular array

Regular Papers | Updated：2022-05-19

- A comprehensive error calibration method based on dual uniform circular array
- 基于双圈均匀圆阵的综合误差校正方法
- Frontiers of Information Technology & Electronic Engineering Vol. 20, Issue 10, Pages: 1415-1428(2019)
- Affiliations：
  
  Air Force Early Warning Academy, Wuhan 430019, China
- Author bio：
  
  Jia-jia ZHANG, E-mail: zjj2015wuhan@163.com
- Funds：
- DOI：10.1631/FITEE.1800240
  CLC： TN911.7
- Received：16 April 2018，
  
  Revised：2019-;9-;4，
  
  Published：2019-10
- Accepted：
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Jia-jia ZHANG, Hui CHEN, Song XIAO, et al. A comprehensive error calibration method based on dual uniform circular array[J]. Frontiers of Information Technology & Electronic Engineering, 2019, 20(10): 1415-1428.
DOI：

Jia-jia ZHANG, Hui CHEN, Song XIAO, et al. A comprehensive error calibration method based on dual uniform circular array[J]. Frontiers of Information Technology & Electronic Engineering, 2019, 20(10): 1415-1428. DOI： 10.1631/FITEE.1800240.

摘要

针对双圈均匀圆阵，提出一种估计波达方向且同时校正幅相误差、位置误差和互耦误差的新方法。算法仅利用一个辅助信源，通过旋转天线获得3个分时发射的校正源，而后结合信号子空间与噪声子空间正交的原理构造代价函数，通过循环迭代方法，依次估计出3种误差的系数。在此过程中，算法在估计互耦误差时充分运用了双圈圆阵的阵列特点，在估计幅相和位置误差时运用信号相位矩阵消除信号到达阵面延迟所造成的相位影响。与多维非线性搜索方法相比，该算法具有较低计算复杂度，同时，无需额外辅助阵元。仿真结果表明所提算法有效，且能够较好校正双圈均匀圆阵的综合误差。

Abstract

Based on the dual uniform circular array

a novel method is proposed to estimate the direction-of-arrival (DOA) and jointly calibrate gain-phase errors

position errors

and mutual coupling errors. In this paper

only one auxiliary source is required to generate three time-disjoint calibration sources with the help of the rotation platform. Subsequently

according to the principle that the signal subspace is orthogonal to the noise subspace

the cost function is constructed. The alternating iteration method is used to estimate the coefficients of the three kinds of errors. During the process

the proposed algorithm makes full use of the structural characteristics of the array when estimating mutual coupling errors

while the signal phase matrix is used to eliminate the phase influence caused by the delay in signal arrival at the antenna array when estimating gain-phase errors and position errors. Compared with the algorithm using multidimensional nonlinear search

the proposed algorithm has lower computational complexity. Moreover

our algorithm does not require additional auxiliary sensors. Simulation results demonstrate that the proposed algorithm is effective and can precisely and comprehensively calibrate the errors in a dual uniform circular array.

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references

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