概率约束稳健恒模自适应波束形成算法

针对恒模信号，将概率约束稳健算法与恒模算法相结合，提出一种新的稳健自适应波束形成算法.先将导向偏差分为高斯随机分布和未知分布2种场景，分别建立优化代价函数，并将该优化问题转化为二阶锥规划问题，运用内点法高效求解.然后对算法求解的全局最优性进行理论分析.在数值仿真部分，用所提算法与相关稳健算法作对比仿真，验证该算法的优越性和有效性.

Robust Constant Modulus Adaptive Beamforming Algorithm Based on Probability-Constrained Optimization

This article combines probability-constrained optimization technique with constant modulus al-gorithm to study a new robust adaptive beamforming algorithm for constant modulus signals. Aiming at the two kinds of cases that steering vector mismatch follows the Gauss distribution and unknown distribution, the optimization cost functions are respectively built, and these optimization problems are changed to the second order cone ( SOC) programming ones solved with interior point methods. Then, the convex analy-ses of the optimization problems are carried out as well. In the simulation, the proposed algorithm com-pares with related robust algorithms to demonstrate its superiority and effectiveness.