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Widely Linear Maximum Complex Correntropy Criterion Affine Projection Algorithm and Its Performance Analysis
IEEE Transactions on Signal Processing ( IF 5.4 ) Pub Date : 2022-06-23 , DOI: 10.1109/tsp.2022.3185903 Chen Qiu 1 , Guobing Qian 1 , Shiyuan Wang 1
IEEE Transactions on Signal Processing ( IF 5.4 ) Pub Date : 2022-06-23 , DOI: 10.1109/tsp.2022.3185903 Chen Qiu 1 , Guobing Qian 1 , Shiyuan Wang 1
Affiliation
Recently, affine projection algorithm has been extensively studied in the Gaussian noise environment. However, the performance of affine projection algorithm will deteriorate rapidly in the presence of impulsive noise and other non-Gaussian noise. To address this issue, this paper proposes a novel affine projection algorithm based on the complex Gaussian kernel function, called widely linear maximum complex correntropy criterion affine projection algorithm (WL-MCCC-APA). With the maximum complex correntropy criterion (MCCC), the robustness of affine projection algorithm is improved significantly in the non-Gaussian noise environment, especially in the presence of impulsive noise. Meanwhile, a variable step size WL-MCCC-APA (VSS-WL-MCCC-APA) method based on fixed-point theory is proposed to further balance the convergence rate and steady-state misalignment of the algorithm. Finally, the step size boundary analysis and steady-state analysis are presented for theoretical analysis. Simulation results verify the correctness of obtained theoretical results and the superiority of the proposed WL-MCCC-APA and VSS-WL -MCCC-APA.
中文翻译:
宽线性最大复相关熵准则仿射投影算法及其性能分析
最近,仿射投影算法在高斯噪声环境中得到了广泛的研究。然而,仿射投影算法在存在脉冲噪声和其他非高斯噪声的情况下性能会迅速恶化。针对这一问题,本文提出一种基于复高斯核函数的仿射投影算法,称为广线性最大复相关熵准则仿射投影算法(WL-MCCC-APA)。利用最大复相关熵准则(MCCC),仿射投影算法在非高斯噪声环境下的鲁棒性显着提高,尤其是在存在脉冲噪声的情况下。同时,提出一种基于不动点理论的变步长WL-MCCC-APA(VSS-WL-MCCC-APA)方法,进一步平衡算法的收敛速度和稳态失准。最后,提出了步长边界分析和稳态分析进行理论分析。仿真结果验证了所得理论结果的正确性以及所提出的WL-MCCC-APA和VSS-WL-MCCC-APA的优越性。
更新日期:2022-06-23
中文翻译:
宽线性最大复相关熵准则仿射投影算法及其性能分析
最近,仿射投影算法在高斯噪声环境中得到了广泛的研究。然而,仿射投影算法在存在脉冲噪声和其他非高斯噪声的情况下性能会迅速恶化。针对这一问题,本文提出一种基于复高斯核函数的仿射投影算法,称为广线性最大复相关熵准则仿射投影算法(WL-MCCC-APA)。利用最大复相关熵准则(MCCC),仿射投影算法在非高斯噪声环境下的鲁棒性显着提高,尤其是在存在脉冲噪声的情况下。同时,提出一种基于不动点理论的变步长WL-MCCC-APA(VSS-WL-MCCC-APA)方法,进一步平衡算法的收敛速度和稳态失准。最后,提出了步长边界分析和稳态分析进行理论分析。仿真结果验证了所得理论结果的正确性以及所提出的WL-MCCC-APA和VSS-WL-MCCC-APA的优越性。