2.5D multizone reproduction using weighted mode matching: Performance analysis and experimental validation

Mode-matching based multizone reproduction has been mainly focused on a purely two-dimensional (2D) theory, where infinite-long 2D secondary sources are assumed for 2D multizone reproduction. Its extension to the three-dimensional (3D) case requires more secondary sources and a higher computational complexity. This work investigates a more practical setup to use 3D sound sources as secondary sources for multizone reproduction in a 2D horizontal plane, i.e., 2.5D multizone reproduction. A weighted mode-matching approach is proposed to solve the dimensionality mismatch between the 2D desired sound field and 3D reproduced sound field. The weighting is based on an integral of Bessel-spherical harmonic modes over the entire control region. A detailed analysis of the weighting function is provided to show that the proposed method controls all the reproduction modes present on the 2D plane to minimize the reproduction error. The method is validated in both simulation-based and hardware-based experiments. The results demonstrate that in comparison with the conventional sectorial mode-matching method, the proposed approach can achieve more accurate reproduction over a wide frequency range and a large control region. 2020 Acoustical Society of America.This work was supported by the National Natural Science Foundation of China (NSFC) funding scheme under Project No. 61671380

2.5D multizone reproduction using weighted mode matching

The mode matching based multizone reproduction has mainly been focused on a purely 2D theory which is inadequate to fit the 3D reality. Its extension to the 3D theory however requires many secondary sources and a high computational complexity. In this paper, a weighted mode matching approach is developed for 2.5D multizone reproduction. The multizone soundfield is reproduced in the horizontal plane within a circular control region using the loudspeakers modelled as 3D point sources. We propose weighting the Bessel-spherical harmonic modes for 2.5D reproduction and a matching between the desired and reproduced soundfields over the entire control region. Simulation results show that in comparison with the conventional 2.5D reproduction method a more accurate reproduction is achieved using the proposed weighting approach.This work was supported by the National Natural Science Foundation of China (NSFC) funding scheme under Project No. 61671380