基于切比雪夫加权的面阵波束形成方法

Beamforming for planar arrays using Chebyshev weighting method

针对传统的切比雪夫加权阵列仅局限于一维线阵,而很多应用如卫星天线、雷达天线等使用的都是二维平面阵列,本文首先推导了一维切比雪夫阵列权值的计算公式,并仿真验证其对旁瓣抑制的效果。接着重点提出了两种均匀面阵的切比雪夫权值计算方法,即二维切比雪夫多项式近似法和二维窗函数法,仿真验证了该方法的正确性和有效性。

Traditional Chebyshev weighting is just applicable to one-dimensional arrays, but in many application scenarios, such as Satellite antenna or radar antenna, which always use planar twodimensional arrays. The paper firstly derive calculating formula for one-dimensional Chebyshev weighting, and simulate its good effect on Sidelobe Suppression. Then give two methods of calculating Chebyshev weighting for planar two-dimensional arrays, namely two-dimensional Chebyshev polynomial approximation and two-dimensional window function method, and simulation results show the effectiveness of the proposed methods.