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当信干比较低时,强干扰会通过波束图的旁瓣泄露影响弱目标的检测,因此需要对波束图进行优化设计。已有的Dolph-Chebyshev加权方法可以在给定的主瓣宽度下获得最低的旁瓣级,但是对于圆阵或其他非均匀线阵,需要根据阵型进行低旁瓣的波束图设计。本文提出的基于二阶锥优化方法,将波束优化问题转化为标准的凸优化数学问题,进而有范式可循,而且可以达到Dolph-Chebyshev加权的效果,同时解决了目标端射时旁瓣升高的问题。仿真验证了基于二阶锥优化的算法较常规算法能更好的识别弱目标。
When the signal to interference ratio is low, the strong interference will affect the detection of weak targets through the sidelobe leakage of the beam pattern, so the beam pattern needs to be optimized. The existing Dolph-Chebyshev weighting method can achieve the lowest sidelobe level for a given width of the main lobe, but for a circular array or other non-uniform linear array, a low sidelobe beam pattern design is required depending on the formation. The second-order cone-based optimization method proposed in this paper transforms the beam optimization problem into a standard convex optimization math problem, and then has the paradigm to follow, and can achieve the Dolph-Chebyshev weighting effect. Meanwhile, the sidelobe elevation The problem. The simulation results show that the algorithm based on the second-order cone optimization can identify weak targets better than the conventional algorithms.