Self-interference (SI) is usually generated by the simultaneous transmission and reception in the same system, and the variable SI channel and impulsive noise make it difficult to eliminate. Therefore, this paper proposes an adaptive digital SI cancellation algorithm, which is an improved normalized sub-band adaptive filtering (NSAF) algorithm based on the sparsity of the SI channel and the arctangent cost function. The weight vector is hardly updated when the impulsive noise occurs, and the iteration error resulting from impulsive noise is significantly reduced. Another major factor affecting the performance of SI cancellation is the variable SI channel. To solve this problem, the sparsity of the SI channel is estimated with the estimation of the weight vector at each iteration, and it is used to adjust the weight vector. Then, the convergence performance and calculation complexity are analyzed theoretically. Simulation results indicate that the proposed algorithm has better performance than the referenced algorithms.

中文翻译：

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具有脉冲噪声的自干扰消除的鲁棒自适应滤波算法

自干扰（SI）通常由同一系统中的同时发送和接收产生，并且可变的SI信道和脉冲噪声使其难以消除。因此，本文提出了一种自适应数字SI抵消算法，它是一种基于SI信道稀疏性和反正切代价函数的改进的归一化子带自适应滤波（NSAF）算法。当脉冲噪声发生时，加权向量几乎不被更新，并且由脉冲噪声引起的迭代误差被显着减小。影响SI消除性能的另一个主要因素是可变SI通道。为了解决该问题，在每次迭代中通过权重向量的估计来估计SI信道的稀疏性，并且将其用于调整权重向量。然后，从理论上分析了收敛性能和计算复杂度。仿真结果表明，该算法具有比参考算法更好的性能。