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Sigmoid变换的滤波-x四元数最小均方算法

张冰妍 陈晓梅 钟波

噪声与振动控制2024,Vol.44Issue(2):57-62,6.
噪声与振动控制2024,Vol.44Issue(2):57-62,6.DOI:10.3969/j.issn.1006-1355.2024.02.010

Sigmoid变换的滤波-x四元数最小均方算法

Filtered-x Quaternion Least Mean Square Algorithm of Sigmoid Transformation

张冰妍 1陈晓梅 1钟波2

作者信息

  • 1. 华北电力大学 电气与电子工程学院,北京 102206
  • 2. 中国计量科学研究院 力学与声学计量科学研究所,北京 100029
  • 折叠

摘要

Abstract

FxLMS algorithm is the commonly adopted algorithm in active noise control system,which has a good control effect on medium and low frequency noise,but the traditional algorithms may not reach the desired suppression effect in certain environmental noise.Filtered-x quaternion least mean square algorithm of sigmoid transformation is proposed,which exploits the spatial characteristics of quaternion to make noise signals couple and correlate in the hyper-complex domain.The sigmoid function is applied to perform nonlinear transform on the error signal to constrain the noise signal to avoid the divergence during the weight update progress,so as to achieve better convergence performance and enhanced robustness.The steady state of the proposed algorithm is analyzed,the superiority of the proposed algorithm in noise reduction is verified in volvo and factory noise environments.The simulation results support the conclusions.

关键词

振动与波/主动噪声控制/四元数自适应滤波器/非线性变换/FxLMS/收敛

Key words

vibration and wave/active noise control/quaternion adaptive filter/nonlinear transform/FxLMS/convergence

分类

通用工业技术

引用本文复制引用

张冰妍,陈晓梅,钟波..Sigmoid变换的滤波-x四元数最小均方算法[J].噪声与振动控制,2024,44(2):57-62,6.

基金项目

国家重点研发计划专项基金资助项目(2020YFC2005200) (2020YFC2005200)

噪声与振动控制

OA北大核心CSTPCD

1006-1355

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