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基于L1范数约束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 sparse regularization 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,提出一种考虑车厢结构对候选扬声器位置、数量、组合存在限制的 \mathrmL1 范数约束稀疏正则化方法。文章建立了车厢数值模型,使用有限元法求解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工具箱求解最小化代价函数,并采用分区优选策略优化次级声源位置。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、副驾人头部位置误差传感器噪声的抑制效果有显著改善,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降低了11.1 dB,在150~500 Hz频段总声压级降低了1 dB左右,最优组合降低了1.0 dB。该方法为车厢非自由场环境下的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: To address the limited space available for secondary sources of active noise control systems in the 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. The results show that, 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 1.0 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 analysis method for active noise control system design in automotive applications.

     

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