In this paper, a hybrid differential evolution and weight total least squares method (HDE-WTLSM) is proposed for antenna array pattern synthesis. A variable diagonal weight matrix is introduced in total least squares method. Then, the weight matrix is optimized by differential evolution (DE) algorithm to control the differences of the desired level and the obtained level in different directions. This algorithm combines the advantages of evolutionary algorithm and numerical algorithm, so it has a wider application range and faster convergence speed. To compare HDE-WTLSM with DE algorithm and typical numerical algorithms, these methods are applied to a linear antenna array and a conformal truncated conical array. Using our method, lower sidelobe levels and deeper nulls are obtained. The simulation results verify the validity and efficiently of HDE-WTLSM.

中文翻译：

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使用混合差分进化和解析算法的阵列模式合成

在本文中，提出了一种用于天线阵列方向图合成的混合差分进化和权重总最小二乘法（HDE-WTLSM）。在全最小二乘法中引入了可变对角权重矩阵。然后，通过差分进化（DE）算法优化权重矩阵，以控制不同方向的期望级别和获得级别的差异。该算法结合了进化算法和数值算法的优点，应用范围更广，收敛速度更快。为了将 HDE-WTLSM 与 DE 算法和典型的数值算法进行比较，将这些方法应用于线性天线阵列和共形截锥形阵列。使用我们的方法，可以获得更低的旁瓣电平和更深的空值。