基于迭代二阶锥的唯相位波束形成

唯相位自适应波束形成技术对普通相控阵雷达自适应干扰抑制是非常重要的，在数字阵列雷达中，唯相位技术则可以充分利用各阵元发射模块微波功率从而提高雷达的威力。该文提出了一种新的唯相位波束形成方法，假定初始唯相位权重矢量有个较小的相位扰动，将唯相位模型的目标函数和约束函数在该相位扰动区域内分别用泰勒一阶展开式来近似，则可以将原来的非凸问题转化为凸优化问题，通过二阶锥规划方法(SOCP)求得使当前目标函数最小的扰动矢量，然后更新得到新的权重矢量并代替原来的权重矢量，重复上述迭代过程直到满足停止条件，可以得到满足要求的唯相位权重。计算机仿真结果验证了该方法的正确性和有效性。

Phase-only Beamforming Based on Iterative Second-order Cone

The adaptive phase-only beamforming technique is very important for conventional phased array radar to suppress interference. For the digital array radar, the phase-only technique can be used to enhance the radar power by making full use of transmitting module microwave power of each array element. In this paper, a novel phase-only algorithm is proposed. Assuming that the initial phase weight vector has a small phase perturbation, the objective function and constraint function can be replaced by the first-order Taylor expansion, thus the original non-convex problem becomes the convex optimization problem, which can be solved using Second-Order Cone Programming (SOCP). The new weight vector is obtained through updating the current weight vector using the solved perturbation vector. The current weight vector is replaced by the new weight vector and the above procedure is repeated until the array pattern meets the termination condition. The computer simulation results demonstrate the correctness and effectiveness of the proposed approach.