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针对不等间距阵列天线的低副瓣方向图综合问题,提出了一种基于非均匀快速傅立叶变换(NUFFT)的迭代算法。通过严格的数学推导,建立非均匀离散傅立叶变换(NUDFT)与天线阵因子之间的对应关系,利用过采样FFT系数的线性组合来近似表达复指数函数进而实现NUFFT,最后通过插值和反复的迭代有效地抑制了阵列天线的最大副瓣电平。结合等间距阵列和不等间距阵列的算例,对比粒子群算法的优化结果,验证了该算法的有效性和高效性。
To solve the low sidelobe pattern synthesis problem of unequal spacing array antenna, an iterative algorithm based on non-uniform fast Fourier transform (NUFFT) is proposed. Through rigorous mathematical derivation, the corresponding relationship between non-uniform discrete Fourier transform (NUDFT) and antenna array factor is established, the complex exponential function is approximated by the linear combination of oversampling FFT coefficients to realize NUFFT. Finally, interpolation and repeated iterations The maximum sidelobe level of the array antenna is effectively suppressed. The results of particle swarm optimization are compared with the examples of equidistance array and unequal spacing array, and the validity and efficiency of the algorithm are verified.