相控阵简化优化波束形成

为了降低相控阵列在自适应处理时的计算复杂度,利用阵列在自适应工作时相量的特征结构,经过适当的矩阵变换简化了包括采用实用的旁瓣降低技术的相控阵列在自适应处理算法,然后通过数学分析,获得相量的唯相梯度向量和海赛尔矩阵,并采用唯相共轭梯度法和牛顿法来获取数字波束形成的优化的数值相量。模拟结果表明,利用这种新的简化自适应波束形成方法所得的优化阵列的性能与没有简化的情况是一致的,但计算量却有很大程度地降低。

Simplified optimum beamforming on phase-only antenna arrays

A novel simplified beamforming technique on phase-only arrays, which based on the characteristic construction of phasor in optimum beamforming, is presented to lessen the adaptive processing complexity. With the odd symmetrical phasor and even symmetrical amplitude-vector of optimum weights, some properly designed transforms are used to simplify the optimum beamforming. The phase-only gradient vector and Hessian matrix of the phase-only weight are formulated. Then the phase-only conjugate gradient algorithm and Newton algorithm are used to obtain the optimal numerical phasor. Simulations demonstrate that the beamforming performance gott by our novel approach is as efficient as the non-simplified case with dramatically reduced computational complexity.