色噪声环境下基于约束Kalman波束形成算法

针对色噪声环境和低快拍数下波束形成器波形畸变的问题,提出了一种色噪声环境下基于约束Kalman的波束形成算法。该算法首先利用波束形成器的代价函数来构建状态和量测方程,其次对量测有色噪声进行一阶马尔可夫建模并对量测扩充得到新的量测方程,最后利用Kalman滤波方程来求解阵列权值矢量。所提算法是通过对色噪声白化来消除其对波束形成算法性能的影响。仿真结果显示,在色噪声环境和低快拍数下本算法具有更快的收敛速度和更高的输出信干噪比,并且波束图的旁瓣水平明显降低。

Beamforming algorithm in colored noise environment based on the constrained Kalman filter

Focused on the problem that waveform distortion caused by the colored noise environment and low snapshots, a beamforming algorithm in colored noise environment based on the constrained Kalman filter is proposed. Firstly, the cost function of the beamformer is used to build the status and measurement equation. Secondly, the first order markov modeling is carried out on the measurement of the colored noise to extend the measurement equation. Finally, the Kalman filter algorithm is utilized to calculate the array weight vector. The proposed algorithm eliminates the performance degradation caused by the colored noise through the colored noise prewhiten. Simulation results show that the proposed algorithm has faster convergence speed and higher output SINR in the colored noise environment and low snapshots, and the sidelobe level of the beam pattern is obviously alleviated.