一种连续切角相控阵加权系数的生成方法

    A Method for Generating Weighting Coefficients of Successively-corner-cut Phased Array

    • 摘要: 为提高T/R组件的利用率,工程中的相控阵天线常采用单次或连续多次切角的阵面构型。现有非规则阵面方向图优化方法虽然可以用于切角阵加权系数的计算,但复杂度普遍较高,不利于工程实现。针对这一问题,提出一种基于分区域整体缩放的连续切角阵加权系数生成方法。该方法从矩形满阵出发,以加权系数矩阵的行列投影不变为约束,通过求解线性方程组为每个区域计算一个统一的缩放因子,实现单次切角后的分区域补偿;然后将连续切角阵分解为逐次切角过程,通过连续多次切角和补偿,得到连续切角阵的加权系数。方法简单易行,复杂度为O(N),具有较强的工程应用价值。

       

      Abstract: To improve the utilization of T/R modules, phased array antennas in engineering often adopt array configurations with single or successive multiple corner-cut operations. Although existing pattern optimization methods for irregular arrays can be used to calculate weighting coefficients for corner-cut arrays, they generally suffer from high complexity, which is unfavorable for engineering implementation. To address this issue, this paper proposes a weighting coefficient generation method for successively corner-cut arrays based on partitioned global scaling. Starting from a full rectangular array and using the invariance of row and column projections of the weighting coefficient matrix as constraints, this method calculates a unified scaling factor for each partition by solving a system described with linear equations, thereby achieving partitioned compensation after a single corner is cut out. The successively corner-cut array is then decomposed into a series of corner-cutting process, and the weighting coefficients for the successively corner-cut array are obtained through successive corner-cutting and compensation operations. Simulation experiments on a 12-by-16 array with 3 corners cut out, reducing the number of elements by 27%, demonstrate that this method can generate sum and difference beam weighting coefficients for successively corner-cut arrays while maintaining consistent main lobe width, sidelobe level, and angle discrimination curve characteristics compared to the full rectangular array on the principal planes. The method is straightforward and easy to implement, with a complexity of O(N), offering significant value for engineering applications.

       

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