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<p>An active noise control (ANC) system can reduce noise in a designated control area, but its secondary field can have a negative effect on areas outside the control area. To alleviate this, this study proposes a multi-channel phased array filtered-x least mean square (MCPA-FxLMS) algorithm whose control signals are delayed using a variable fractional delay filter to orient the secondary field. To validate the performance of this algorithm, an ANC bench in a semi-anechoic room and a corresponding finite element model are established based on the automotive cabin configuration with door-mounted secondary speakers. Their acoustic transfer functions are estimated using the LMS algorithm and demonstrate a consistent spectral pattern. After ANC using the MCPA-FxLMS algorithm, the sound pressure level at the location of the error microphone drops by 17.17&#xa0;dB. The target ANC areas increase by 9.24 ~ 20.68% at different heights. While ensuring sufficient noise reduction at the location of the co-driver, it increases noise attenuation at other locations and mitigates the adverse effect on the rear right passenger. These results demonstrate that the proposed algorithm achieves a remarkable noise reduction. Meanwhile, under the condition of a constant sound field area, it can effectively expand the noise reduction zone and decrease the noise enhancement zone.</p>

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A Multi-Channel FxLMS Algorithm Based on a Phased Secondary Speaker Array for Active Noise Control in Three-Dimensional Cavities

  • 期刊论文

  • 发表日期：

    2026年3月25日

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  • Liqiang Yang,
  • Sen Wang,
  • Qingran Li,
  • Jianwang Shao,
  • Xian Wu,
  • Chang Jin

摘要

An active noise control (ANC) system can reduce noise in a designated control area, but its secondary field can have a negative effect on areas outside the control area. To alleviate this, this study proposes a multi-channel phased array filtered-x least mean square (MCPA-FxLMS) algorithm whose control signals are delayed using a variable fractional delay filter to orient the secondary field. To validate the performance of this algorithm, an ANC bench in a semi-anechoic room and a corresponding finite element model are established based on the automotive cabin configuration with door-mounted secondary speakers. Their acoustic transfer functions are estimated using the LMS algorithm and demonstrate a consistent spectral pattern. After ANC using the MCPA-FxLMS algorithm, the sound pressure level at the location of the error microphone drops by 17.17 dB. The target ANC areas increase by 9.24 ~ 20.68% at different heights. While ensuring sufficient noise reduction at the location of the co-driver, it increases noise attenuation at other locations and mitigates the adverse effect on the rear right passenger. These results demonstrate that the proposed algorithm achieves a remarkable noise reduction. Meanwhile, under the condition of a constant sound field area, it can effectively expand the noise reduction zone and decrease the noise enhancement zone.