王安康,王浩磊,王树才. 基于三次样条插值法的柱面近场测量欠采样修正算法研究[J]. 电波科学学报,2024,39(2):1-6. DOI: 10.12265/j.cjors.2023037
      引用本文: 王安康,王浩磊,王树才. 基于三次样条插值法的柱面近场测量欠采样修正算法研究[J]. 电波科学学报,2024,39(2):1-6. DOI: 10.12265/j.cjors.2023037
      WANG A K, WANG H L, WANG S C. Undersampled modified algorithm for cylindrical near-field measurement based on cubic spline interpolation[J]. Chinese journal of radio science,2024,39(2):1-6. (in Chinese). DOI: 10.12265/j.cjors.2023037
      Citation: WANG A K, WANG H L, WANG S C. Undersampled modified algorithm for cylindrical near-field measurement based on cubic spline interpolation[J]. Chinese journal of radio science,2024,39(2):1-6. (in Chinese). DOI: 10.12265/j.cjors.2023037

      基于三次样条插值法的柱面近场测量欠采样修正算法研究

      Undersampled modified algorithm for cylindrical near-field measurement based on cubic spline interpolation

      • 摘要: 为解决暗室近场测试效率低的问题,本文针对天线近场测量中高效测量方法进行了研究,提出了一种柱面近场欠采样恢复算法。该算法利用高精度的三次样条插值(cubic spline interpolation, CSI)法对未采样的点进行恢复,可减少采样点数,提高测试速度。此外,在柱面近场欠采样恢复CSI求解过程中充分利用系数矩阵的正定、对称等优良特性,使线性方程组的计算量从O(n^3)降为O(n),大大提高了CSI的计算效率。最后使用插值后的近场幅度和相位结合柱面近远场变换理论求得天线远场方向图。为验证所提出算法的有效性,试验测试了天线样机,试验结果与理论分析一致。

         

        Abstract: In order to solve the problem of low efficiency of near-field measurement in anechoic chamber, the efficient measurement methods in near-field antenna measurement are studied, and a cylindrical near-field under sampling recovery algorithm is proposed. The high-precision cubic spline interpolation(CSI) algorithm is used to recover the unsampled points, which can reduce the number of sampling points and improve the test speed. In addition, in the process of solving the cylindrical near-field under-sampled recovery CSI, the excellent characteristics of positive definiteness and symmetry of the coefficient matrix are fully utilized, so that the calculation amount of the linear equations is reduced from O(n^3) to O(n), which greatly improves the calculation efficiency of cubic spline interpolation. Finally, the far-field pattern of the antenna is obtained by using the interpolated near-field amplitude and phase combined with the cylindrical near-field to far-field transformation theory. In order to verify the effectiveness of the proposed algorithm, the antenna prototype is tested, and the experimental results are consistent with the theoretical analysis.

         

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