A novel method based on alternating linear programming optimization is presented to synthesize sparse linear arrays with sum and difference patterns. This method can find the optimized element positions and excitations shared for both sum and difference patterns with accurate control of multiregion sidelobe distribution and difference pattern null slope. In addition, the constraints on the minimum element spacing and dynamic range ratio of the obtained excitations can be also appropriately incorporated into this alternating optimization process. Two synthesis examples with different pattern shape requirements are conducted to validate the effectiveness and advantages of the proposed method.

中文翻译：

---

最小元素间距控制下交替线性规划优化合成具有和差模式的稀疏数组


提出了一种基于交替线性规划优化的新方法来合成具有和差模式的稀疏线性阵列。该方法可以找到和模式和差模式共享的优化元件位置和激励，并精确控制多区域旁瓣分布和差模式零斜率。此外，对所获得的激励的最小单元间距和动态范围比的约束也可以适当地纳入该交替优化过程中。两个具有不同图案形状要求的合成实例验证了该方法的有效性和优点。