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基于l1稀疏正则化的车内次级声源位置优化方法

A Secondary Source Placement Optimization Method in Vehicle Cabins Based on Sparsity-inducing Regularization Strategy with l1 Norm Constraint

  • 摘要: 为了提升降噪系统性能,针对车厢内有源降噪次级声源空间受限问题,提出了考虑车厢结构对候选扬声器位置、数量、组合限制的 l_1 范数约束的稀疏正则化方法。建立了车厢数值模型,使用有限元法获得了舱内次级声源到主副驾驶席人头部的声学传递函数。基于数值传递函数,通过CVX工具箱最小化代价函数,采用分区优选策略优化了次级声源位置。结果表明,在同等控制配置下,优化后的次级声源相较原位置对主副驾人头部位置处误差传感器噪声的抑制效果得到显著改善,对于20~140 Hz频段,总声压级降低了10 dB以上,其中最优组合6-12-18-24降低11.1 dB,在150~500 Hz频段总声压级降低1 dB左右,最优组合降低1.0 dB。该方法为车厢非自由场环境下次级声源位置优化问题提供了一种分析方法,有助于工程实际中车内主动降噪系统次级声源布放位置的设计。

     

    Abstract: For the limited space available for secondary sources in active noise control systems within vehicle cabins, a sparse regularization method incorporating L1-norm constraints is proposed. This method explicitly accounts for structural constraints imposed by the cabin on candidate speaker positions, numbers, and combinations, thereby improving the noise reduction performance. A numerical model of the vehicle cabin is established. The finite element method (FEM) is employed to compute the acoustic transfer functions (ATFs) from secondary sources inside the cabin to the head locations of the driver and front passenger seats. Based on these numerically computed ATFs, the optimal placement of secondary sources is determined by minimizing a cost function using the CVX optimization toolbox, combined with a partition-based optimization strategy. Under an equivalent control configuration, the optimized speaker positions yield superior noise suppression at error sensor locations—specifically at the head positions of the driver and front passenger—compared to the original placements. In the frequency range of 20–140 Hz, the overall sound pressure level (SPL) is reduced by more than 10 dB; the optimal combination (speakers at positions 6, 12, 18, and 24) achieves a 11.1 dB reduction. In the 150–500 Hz range, the overall SPL is reduced by approximately 1 dB, with the optimal combination yielding a 1.1 dB reduction. This method addresses secondary source placement optimization in the non-free-field, acoustically complex environment of vehicle cabins, offering a practical and engineering-feasible solution for active noise control system design in automotive applications.

     

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