在广义秩信号模型基础上,设计了一种鲁棒波束自适应波束形成方法。通过引入分数低阶变换来抑制非高斯稳定分布噪声,提出脉冲噪声环境下能够处理信号失配的鲁棒波束形成器算法,并讨论了分数低阶协方差矩阵的可逆性。由于采用 Frobenius 范数建立明确的模型来刻画期望阵列响应与数据的协方差矩阵之间的不确定性,因此所提算法具有解析闭合形式解。仿真结果表明:与传统波束形成算法相比,所提算法在脉冲稳定分布噪声和信号失配同时存在的情况时具有更好的鲁棒性。
A robust beamforming method based on the general-rank signal model is presented.This method introduces the fractional lower order covariance to deal with the impulsive stable noise and presents a beamforming method against steering vector mismatches.The nonsingularity of the fractional lower order covariance is discussed.Due to the application of Frobenius norm for modeling the uncertainties between the actual and presumed array responses,this method provides a closed-form solution.The simulations demonstrate the validity and superiority of the proposed beamforming method,under the Non-Gaussian stable noise and steering vector mismatches environments compared with the traditional methods.