基于容积卡尔曼滤波的约束恒模波束形成算法

提出一种基于容积卡尔曼滤波的线性约束恒模波束形成算法。首先使用伪观测法将恒模代价函数和约束条件写成状态观测方程,之后利用容积卡尔曼滤波算法来求解以上非线性滤波问题。所提方法能够避免常规算法对模型的近似处理和特征值分散效应对波束形成器输出性能的影响,因此对干扰和噪声有更强的抑制能力。仿真结果表明,本算法相比随机梯度法和递归最小二乘法具有更快的收敛速度和更高的输出信干噪比,在非平稳环境下,能够迅速调整权值收敛到最优解。

Constrained constant modulus beamforming based on cubature Kalman filter

A constrained constant modulus adaptive beamforming method based on cubature Kalman filter is proposed. Firstly, the state space model of the constrained constant modulus criterion is formulated with the pseudo observation method. Then the cubature Kalman filter is utilized to solve the non linear filtering problem. This algorithm avoids the approximation procedure and the high eigenvalue spread effect which exists in conventional methods, and hence it exhibits better interference and noise suppression capacity. Simulation results demonstrate that the proposed method converges faster than both the 〖JP2〗stochastic gradient method and the recursive least square method and possesses higher output signal to interference plus noise ratio. Additionally, it can adjust its weight to the optimal result quickly under the non-stationary environment.