Department of Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
J Acoust Soc Am. 2011 Oct;130(4):2003-15. doi: 10.1121/1.3624825.
The radiation patterns of acoustic sources have great significance in a wide range of applications, such as measuring the directivity of loudspeakers and investigating the radiation of musical instruments for auralization. Recently, surrounding spherical microphone arrays have been studied for sound field analysis, facilitating measurement of the pressure around a sphere and the computation of the spherical harmonics spectrum of the sound source. However, the sound radiation pattern may be affected by the location of the source inside the microphone array, which is an undesirable property when aiming to characterize source radiation in a unique manner. This paper presents a theoretical analysis of the spherical harmonics spectrum of spatially translated sources and defines four measures for the misalignment of the acoustic center of a radiating source. Optimization is used to promote optimal alignment based on the proposed measures and the errors caused by numerical and array-order limitations are investigated. This methodology is examined using both simulated and experimental data in order to investigate the performance and limitations of the different alignment methods.
声源的辐射模式在广泛的应用中具有重要意义，例如测量扬声器的指向性和研究乐器的辐射用于听觉化。最近，人们研究了环绕球形麦克风阵列进行声场分析，这有助于测量球体周围的压力和声源的球谐频谱计算。然而，声源在麦克风阵列内部的位置可能会影响声音的辐射模式，这在以独特的方式描述声源辐射时是不理想的。本文对空间平移声源的球谐频谱进行了理论分析，并定义了四个用于辐射源声心失准的度量。基于所提出的度量和由数值和阵列阶数限制引起的误差，优化方法被用来促进最佳对准。为了研究不同对准方法的性能和局限性，使用模拟和实验数据对该方法进行了检验。
