论文标题

基于小波的空间音频框架

Wavelet-based spatial audio framework

论文作者

Scaini, Davide

论文摘要

Ambisonics是空间音频的完整理论,其构件是球形谐波。低阶Ambisonics的一些缺点,例如较差的源方向性和小甜点,与球形谐波的特性直接相关。在本文中,我们说明了一个新颖的空间音频框架,精神与Ambisonics相似,该框架通过具有紧凑的支持的替代功能来代替球形谐波:球形小波。我们使用基于多分辨率网格的离散球形小波来开发一个从编码到解码的完整音频链。我们展示了如何通过数值优化生成小波家族和解码矩阵到扬声器的。特别是,我们提出了一种解码算法,优化了声学和心理声学参数,该算法可以为Ambisonics和新的小波格式生成不规则布局的解码矩阵。此音频工作流程与Ambisonics直接比较。

Ambisonics is a complete theory for spatial audio whose building blocks are the spherical harmonics. Some of the drawbacks of low order Ambisonics, like poor source directivity and small sweet-spot, are directly related to the properties of spherical harmonics. In this thesis we illustrate a novel spatial audio framework similar in spirit to Ambisonics that replaces the spherical harmonics by an alternative set of functions with compact support: the spherical wavelets. We develop a complete audio chain from encoding to decoding, using discrete spherical wavelets built on a multiresolution mesh. We show how the wavelet family and the decoding matrices to loudspeakers can be generated via numerical optimization. In particular, we present a decoding algorithm optimizing acoustic and psychoacoustic parameters that can generate decoding matrices to irregular layouts for both Ambisonics and the new wavelet format. This audio workflow is directly compared with Ambisonics.

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