“…Many kinds of methods based on WFS have been developed, including least squares (LS) algorithms that use the inverse of the transfer functions between each pair of recording and loudspeaker positions [11,12], the spatial Fourier transform [13,14], and the inverse wave propagator [15]. In most cases, since these methods were proposed and implemented using a pair of linear microphone and loudspeaker arrays based on a 2.5D WFS [4,5] for horizontal sound field reproduction, they cannot synthesize vertical sound fields [11,12,14,15].…”