Linear operations on coefficients in the spherical harmonics (SH) transform domain which again yield SH-domain coefficients are an important toolset in many disciplines of research and engineering. They comprise rotations, spatially selective filters, and many other modifications for various applications, or describe a MIMO system's response to an excitation. It is of particular importance to characterize these operations both qualitatively and quantitatively, and make them accessible for people to work with. In this paper, we identify different key properties of such operations and propose a method for their visualization. With our proposed method, we succeed to show many important aspects of an operation in a single plot and give rise to a comprehensive interpretation of a system's behavior. In our evaluation, we show the potential of the proposed method on the basis of various practical examples from spatial audio signal processing, where SH-domain filtering is used to modify acoustic scenes given by higher-order Ambisonics signals.

翻译：球体口音( SH) 转换域的系数线性操作,再次产生 SH- Domain 系数,是许多研究和工程学科的重要工具。 它们包括旋转、空间选择性过滤器和各种应用的许多其他修改,或描述一个MIMO 系统对刺激的反应。 特别重要的是从质量和数量上描述这些操作的特点,并使人们可以接触这些操作。 在本文件中, 我们确定这种操作的不同关键特性, 并提出可视化的方法。 我们建议的方法, 我们成功地展示了单一图案操作的许多重要方面, 并引出了对系统行为的全面解释。 在我们的评估中, 我们根据空间音频处理的各种实际例子, 即SH- Domain 过滤法用于改变由更高级的阿姆比索尼克斯信号提供的声场。