中文摘要：

由于脉冲噪声的冲击特性,经典的有源噪声控制算法的性能显著降低。针对对称α稳定分布的脉冲噪声,提出了一种基于Sigmoid函数的非线性变换算法,解决了因脉冲噪声幅值过大所引起的稳定性问题,并对该算法的收敛条件进行了分析。在理论分析的基础上,对该算法进行了仿真研究。仿真结果表明,对于不同的α值,该算法均能取得较好的降噪效果。

英文摘要：

Due to the characteristics of impulsive noise,the performance of classical active noise control（ANC） algorithms degrades greatly.In this paper,for symmetric α stable（SαS） distribution impulsive noise,a nonlinear transformation algorithm based on Sigmoid function is presented,which solves the stability problem caused by larger noise amplitude effectively.The convergence condition of this algorithm is also analyzed.Computer simulations are carried out to validate the effectiveness of the proposed algorithm.Simulation results show that the proposed algorithm has better performance for impulsive noise at different characteristic exponent α.