Sparse sound field representation in recording and reproduction for reducing spatial aliasing artifacts

We propose a sound-pressure-to-driving-signal (SP-DS) conversion method for sound field reproduction based on sparse sound field representation. The most important problem in sound field reproduction is how to calculate driving signals of loudspeakers to reproduce desired sound fields. In common recording and reproduction systems, sound pressures at multiple positions obtained in a recording area are only known as the desired sound field; therefore, SP-DS conversion algorithms are necessary. Current SP-DS conversion methods do not take into account sound sources to be reproduced, which results in severe spatial aliasing artifacts. Our proposed method decomposes the received sound pressure distribution based on the generative model of the sound field. Numerical simulation results indicate that the proposed method can achieve higher reproduction accuracy compared to the current methods, especially in higher frequencies above the spatial Nyquist frequency.