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arXiv 2602.05236eess.AS
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基于物理约束核的外部声场估计

Exterior sound field estimation based on physics-constrained kernel

Yamaha Corporation(雅马哈公司)

Juliano G. C. Ribeiro, Ryo Matsuda, Jorge Trevino

AI总结:

本文提出基于物理约束核的外部声场估计方法,通过高斯过程和可训练内积公式实现灵活估计,降低插值误差并提高重建一致性。

摘要:

外部声场插值是一个具有挑战性的问题,通常需要特定的阵列配置和对源条件的先验知识。我们提出了一种基于高斯过程的插值方法,使用点源再现核和可训练的内积公式,该公式专门设计用于适应外部声场。虽然这种估计没有闭合公式,但它允许定义一个灵活的估计器,不受麦克风分布的限制,并且能够自动衰减高次谐波阶数,通过直接从录音中优化的参数实现。所提出的核估计器在模拟实验中与传统方法(使用球面波函数和已建立的物理信息机器学习模型)进行比较,在分析频率100 Hz和2.5 kHz范围内,平均插值误差降低了约2 dB,并且在目标区域更一致地重建了真实声场。

英文摘要:

Exterior sound field interpolation is a challenging problem that often requires specific array configurations and prior knowledge on the source conditions. We propose an interpolation method based on Gaussian processes using a point source reproducing kernel with a trainable inner product formulation made to fit exterior sound fields. While this estimation does not have a closed formula, it allows for the definition of a flexible estimator that is not restricted by microphone distribution and attenuates higher harmonic orders automatically with parameters directly optimized from the recordings, meaning an arbitrary distribution of microphones can be used. The proposed kernel estimator is compared in simulated experiments to the conventional method using spherical wave functions and an established physics-informed machine learning model, achieving lower interpolation error by approximately 2 dB on average within the analyzed frequencies of 100 Hz and 2.5 kHz and reconstructing the ground truth sound field more consistently within the target region.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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