基于通用切比雪夫滤波器的有源噪声控制研究

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (1) : 223-239.

论文

郭新年1,2，周恒瑞1，赵正敏1，都思丹2

作者信息 +

Active noise control based on general Chebyshev filter

GUO Xinnian1,2,ZHOU Hengrui1,ZHAO Zhengmin1,DU Sidan2

Author information +

文章历史 +

摘要

针对前馈管道非线性有源噪声控制系统，提出一种基于通用切比雪夫滤波器的次级通道建模方法和通用切比雪夫滤波x最小均方误差算法（GCFXLMS，general Chebyshev filtered-x least mean square）。通用切比雪夫滤波器由第一类切比雪夫滤波器扩展获得，交叉项部分可通过对角结构实现，根据对角结构的性质，可以采用减少通道信号的实现策略以降低结构复杂度；使用该滤波结构建模次级通道，并给出了稀疏虚拟次级通道模型，基于此模型推导了GCFXLMS算法。该方法性能比较包括计算复杂度对比和控制效果对比。实验结果表明，在非线性有源噪声控制系统中，通用切比雪夫滤波器可达到与Volterra次级通道建模类似的建模效果，相比于传统的前馈滤波器，通用切比雪夫滤波器具有更优的控制性能。

Abstract

Here, for feedforward duct nonlinear active noise control (NANC) systems, a nonlinear secondary path modeling method and the general Chebyshev filtered-x least mean square (GCFXLMS) algorithm based on general Chebyshev filter (GCF) were proposed. The general Chebyshev filter was obtained through extending the first type of Chebyshev filter and realized with diagonal structures. In diagonal structures, some signal channels far from the principle channels were decreased to reduce the structural complexity. The GCF structure was used to do secondary path modeling, and the sparse virtual secondary path model was deduced. The GCFXLMS algorithm was derived based on this model. The performance of the proposed method was verified through contrastive analysis of computational complexity and control effect with this method and other ones for feedforward duct NANC systems. The results showed that for feedforward duct NANC systems, GCF can reach the secondary path modeling effect similar to that obtained with Volterra filter; compared to the traditional feedforward filters, GCF has better control performance.

导出引用

郭新年1,2，周恒瑞1，赵正敏1，都思丹2. 基于通用切比雪夫滤波器的有源噪声控制研究[J]. 振动与冲击, 2020, 39(1): 223-239

GUO Xinnian1,2,ZHOU Hengrui1,ZHAO Zhengmin1,DU Sidan2. Active noise control based on general Chebyshev filter[J]. Journal of Vibration and Shock, 2020, 39(1): 223-239

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