Spherical sector harmonics based soundfield radial extrapolation and robustness analysis

The development of spherical sector harmonics benefits the soundfield decomposition and analysis over a spherical sector region. However, research on the soundfield radial extrapolation from one spherical sector region to another concentric sector region with a different radius is still insufficient. This paper presents a radial extrapolation method for spherical sector soundfields. Based on the extrapolation error and error sensitivity ratio, the performance and robustness of the proposed method is analyzed with different setups. Results show that the proposed method can achieve good performance, especially with a dual array sensor placement, a large angle range of the measurement region, and a small wave number.