基于M估计的广义线性复值改进比例仿射投影水声信道估计算法
Widely linear complex-value improved-proportionate affine projection algorithm based on M-estimation for underwater acoustic channel estimation
-
摘要: 针对水声信道中非圆信号条件下, 传统实值自适应滤波算法信道估计性能受限的问题, 提出了一种广义线性复值改进比例仿射投影算法。首先, 通过信号及其共轭值的联合建模, 充分利用了非圆信号的二阶统计信息; 其次, 引入比例因子自适应地调整滤波器系数的更新步长, 在降低稳态估计误差的同时实现对水声信道的快速跟踪。同时, 进一步利用复值修正Huber函数修正后验估计误差向量, 构造了一个鲁棒约束最小扰动问题, 增强算法在复杂噪声环境中的稳健性。此外, 对所提算法的稳态均值和均方收敛性进行了理论分析, 推导了确保算法收敛的步长条件及稳态均方偏差表达式。仿真结果表明, 在非圆信号及复杂噪声环境中, 所提算法相比现有方法具有更快的收敛速度和更低的稳态估计误差, 且算法鲁棒性得到了有效提升。Abstract: To address the performance degradation of conventional real-valued adaptive filtering algorithms for channel estimation under noncircular signal conditions in underwater acoustic (UWA) channels, a widely linear complex-value improved-proportionate affine projection algorithm is proposed. First, the second-order statistical information of the noncircular signals is fully exploited by jointly modeling the signal and its conjugate. Then, a proportionate factor is introduced to adaptively adjust the step size for updating the filter coefficients, enabling rapid tracking of UWA channels while reducing steady-state estimation error. Furthermore, to enhance the robustness of the proposed algorithm in complex noise environments, a complex-value modified Huber function is employed to correct the a posteriori estimation error vector, and a robust constrained minimum perturbation problem is formulated. In addition, the steady-state mean and mean-square convergence properties of the proposed algorithm are theoretically analyzed, and the sufficient step-size condition for convergence as well as the expression for steady-state mean square deviation are derived. Simulation results demonstrate that, under noncircular signal and complex noise conditions, the proposed algorithm achieves faster convergence, lower steady-state estimation error, and improved robustness compared with existing methods.
下载: