中文摘要：

针对随着Voherra滤波器的输入维数或记忆单元增大，相应需要的计算复杂性成幂级数快速增加的问题，提出了一种改进的利用sigmoid函数对背景噪声进行预处理的减少参数Voherra自适应滤波器，并用它构造了非线性自适应噪声对消器。仿真结果表明，算法在高斯噪声和α稳定分布噪声环境下都有优越的抗噪性能。

英文摘要：

As the order or the memory length of Voherra series enlarges, the computational complexity is required like power series. Using sigmoid function to pre-process environment noises, a modified Voherra adaptive algorithm based on reducing coefficients is introduced. It is applied for nonlinear active noise cancellation. Computer simulation results illustrate that the proposed algorithm has good performance in Gaussian noise or a-stable noise evironment.