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通过对考虑障板影响下噪声互谱矩阵的精确求解,给出了一种计算刚性球体表面圆环阵阵增益的模型,并在此基础上提出了一种模态域二阶锥规划稳健高增益波束形成方法。该方法根据相位模态波束形成理论,将阵元域稳健加权向量转换为模态域的稳健模态系数,从而设计出不同模态阶数下的稳健高增益波束。由于采用了白噪声增益约束以及低频段较低的模态阶数,该方法提高了超增益波束形成器的稳健性。仿真结果表明该方法能够提供更多的稳健波束形成的方案,在多个关联的波束性能指标之间获得比常规方法和阵元域稳健性方法更合理的折衷。
Based on the accurate solution of the noise cross-spectrum matrix under the influence of the baffle, a model for calculating the gain of the circular ring array on a rigid spherical surface is given. Based on the above, a second-order cone model with stable modal Gain beamforming method. According to the phase mode beamforming theory, the method converts the robust weight vector of the array element into the robust modal coefficients in the modal domain, and designs a robust high gain beam with different modal order. This approach improves the robustness of the super-gain beamformer due to the white noise gain constraint and the lower modal order of the lower frequency band. The simulation results show that this method can provide more robust beamforming schemes and achieve a more reasonable compromise between the multiple associated beam performance metrics over the conventional method and the array robustness approach.