The position errors of array elements, which include systematic and random errors, are inevitable and could lead to the degradation of the radiation performance. For an array antenna, the systematic errors come from the continuous deformation of the reflector while the random errors come from the manufacturing and assembly of array elements. The accurate representation of position errors is important to evaluate the effects of position errors on performance in the design of an array antenna. In previous studies, many methods have been proposed to represent the systematic and random errors. However, few studies have considered the high-order position relevance of array elements resulting from the systematic errors, which could lead to the inaccurate representation of position errors. Here, a γ-conical representation method is proposed to consider the γ-order position relevance of successive array elements. The existing conical representation method and the proposed γ-conical representation method are used as comparisons to generate simulation data of position errors. The corresponding electrical performance of position errors is calculated with antenna theories and Feko. Prediction models are built based on a linear programming support vector regression algorithm to evaluate the ability of different representation methods. Finally, experiments are conducted on a platform with 8 × 8 array elements to demonstrate the superiority of the γ-conical representation method.

中文翻译：

---

一种考虑阵元高阶位置相关性的γ圆锥位置误差表示方法

阵元位置误差包括系统误差和随机误差，是不可避免的，会导致辐射性能下降。对于阵列天线，系统误差来自反射面的连续变形，而随机误差来自阵元的制造和组装。位置误差的准确表示对于评估位置误差对阵列天线设计性能的影响非常重要。在以往的研究中，已经提出了许多方法来表示系统和随机误差。然而，很少有研究考虑由系统误差引起的阵元的高阶位置相关性，这可能导致位置误差的不准确表示。这里，一个γ为了考虑连续阵列元素的γ阶位置相关性，提出了圆锥表示法。将现有的圆锥表示方法与提出的γ-圆锥表示方法进行比较，生成位置误差的仿真数据。位置误差的相应电气性能通过天线理论和Feko计算得出。预测模型是基于线性规划支持向量回归算法构建的，以评估不同表示方法的能力。最后，在具有 8 × 8 阵元的平台上进行了实验，以证明γ圆锥表示方法的优越性。