Active noise control based on general Chebyshev filter

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (1) : 223-239.

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

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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.

Key words

active noise control / adaptive filtering / general Chebyshev filter (GCF) / adaptive algorithm / secondary path modeling

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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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