论文标题
声场重建的卷积平面波模型
A convolutional plane wave model for sound field reconstruction
论文作者
论文摘要
空间声场插值依赖于合适的模型来符合可用的测量并预测感兴趣域中的声场。与波长相比，或者何时存在球形和平面波前，或者在近场中，合适的模型很难确定何时感兴趣的空间域何时大，或者何时存在球形和平面波侧或声场很复杂。为了跨越如此复杂的声场，可以将全局重建任务划分为局部子域问题。先前的研究表明，由于模型系数的数量较高，分区方法依赖于每个域内的足够测量。这项研究提出了对所有局部子域的联合分析，同时在相邻分区之间实现了自相似性。更具体地说，寻求局部平面波表示的系数具有空间平滑的幅度。根据平面波过滤器的形式，声场的卷积模型被制定，并通过乘数的交替方向方法解决了反相反的问题。对模拟和测量声场的实验表明，所提出的方法既保留了局部模型以符合复杂的声场的灵活性，又保留了整体结构以从更少的测量值重建。
Spatial sound field interpolation relies on suitable models to both conform to available measurements and predict the sound field in the domain of interest. A suitable model can be difficult to determine when the spatial domain of interest is large compared to the wavelength or when spherical and planar wavefronts are present or the sound field is complex, as in the near-field. To span such complex sound fields, the global reconstruction task can be partitioned into local subdomain problems. Previous studies have shown that partitioning approaches rely on sufficient measurements within each domain, due to the higher number of model coefficients. This study proposes a joint analysis of all local subdomains, while enforcing self-similarity between neighbouring partitions. More specifically, the coefficients of local plane wave representations are sought to have spatially smooth magnitudes. A convolutional model of the sound field in terms of plane wave filters is formulated and the inverse reconstruction problem is solved via the alternating direction method of multipliers. The experiments on simulated and measured sound fields suggest, that the proposed method both retains the flexibility of local models to conform to complex sound fields and also preserves the global structure to reconstruct from fewer measurements.
