提出k空间方法高效模拟多通道定向扬声器系统
A k-space approach to modeling multi-channel parametric array loudspeaker systems
- 用k空间法结合快速傅里叶变换求解超声场与音频场
- 相比直接积分法提速超4个数量级，精度不依赖近轴近似
- 适合需要快速设计高指向性扬声器系统的研究人员
多通道参数阵列扬声器（MCPAL）系统在实际应用中可生成高度定向的音频束，具备更高灵活性。然而，由于非线性行为和多通道信号处理的复杂性，其声场精确预测仍面临挑战。为此，本文提出一种k空间方法，用于建模布置在刚性平面表面的任意MCPAL系统。首先采用角谱法求解线性超声场，随后在k空间中高效计算准线性音频声场。通过三维快速傅里叶变换，该方法在保持高精度的同时显著提升计算与内存效率，且无需依赖近轴近似。在典型配置下，相较直接积分法提速超过四个数量级。本方法为先进MCPAL系统的仿真与设计开辟了新路径。
原文摘要 · Abstract (English)
Multi-channel parametric array loudspeaker (MCPAL) systems offer enhanced flexibility and promise for generating highly directional audio beams in real-world applications. However, efficient and accurate prediction of their generated sound fields remains a major challenge due to the complex nonlinear behavior and multi-channel signal processing involved. To overcome this obstacle, we propose a k-space approach for modeling arbitrary MCPAL systems arranged on a baffled planar surface. In our method, the linear ultrasound field is first solved using the angular spectrum approach, and the quasilinear audio sound field is subsequently computed efficiently in k-space. By leveraging three-dimensional fast Fourier transforms, our approach not only achieves high computational and memory efficiency but also maintains accuracy without relying on the paraxial approximation. For typical configurations studied, the proposed method demonstrates a speed-up of more than four orders of magnitude compared to the direct integration method. Our proposed approach paved the way for simulating and designing advanced MCPAL systems.
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