Oom is 8 m six m four m. Six manage points (or matching microphones
Oom is 8 m 6 m 4 m. Six control points (or matching microphones) kind a concentric circle with the loudspeaker array, inside that is our sound reproduction zone. We have a single matching point in the center of the circle, as well as the other 5 points evenly distributed on a circle using a radius of 0.two m, as shown in Figure 1. The sampling frequency is set to 16 kHz. The RIRs are generated applying the RIR Generator toolbox [25], which is depending on the image supply system [26]. The preferred sound field comes from a point source located at y = (six m, five m, 2 m).loudspeaker UCB-5307 web handle point virtual sourceFigure 1. Simulation setup: eight loudspeakers locate on a circle using a radius of two m, that are denoted by the black squares. The red dots denote the controlled points. The blue star indicates the place with the virtual sound supply.Appl. Sci. 2021, 11,8 ofIn Figure 2, we plot the NMSE in the reproduced intensity varying with the tuning parameter . The case of = 0 or = 1 corresponds to controlling only the pressure or particle velocity, for which the reproduced sound intensity has a massive error. The minimum intensity reproduction error happens at = 0.five, that is about 5 dB and 3 dB lower when compared with the case of controlling only the stress along with the particle velocity, respectively. These benefits demonstrate that when the stress and velocity are controlled with equal weights, which approximates sound-intensity manage, the most beneficial reproduction functionality might be obtained. As stated in literature, the sound intensity is closely connected to source location perception [15], the proposed system also achieves the optimal reproduction benefits with sound intensity control beneath the regular loudspeaker array layout.-9 -10 -11 -12 -13 -14 -15 0 0.two 0.4 0.six 0.8x yFigure 2. The NMSE on the reproduced intensity at handle points with diverse tuning parameter . The reverberation time RT60 = 200 ms plus the manage (Z)-Semaxanib web filter length J = 400.We further investigate the validity with the proposed process in different reverberation conditions with varying control filter length. Figure three plots the NMSE of your reproduced sound intensity together with the reverberation time RT60 increasing from 0.2 s to 0.7 s even though the manage filter length is set as a constant value of J = 400. Because the reverberation time RT60 raise, the reproduction error also increases. In Figure 4, we modify the control filter length, i.e., J = one hundred, 200, 400, 800, 1000, 1600, to examine the reproduction functionality. When J 800, the error decreases swiftly with all the rising manage filter length; on the other hand, when J is additional than 800, the trend of the error decreases tends to become steady.Appl. Sci. 2021, 11,9 of-x-y—-14 0.0.0.0.0.0.Figure three. The NMSE with the reproduced intensity at handle points below different reverberation instances. The tuning parameter = 0.5 and also the handle filter length J = 400.-5 -6 -7 -8 -9 -10 -11 -12 -13 0 500 1000x yFigure four. The NMSE of the reproduced intensity at controlled points with varying filter length. The tuning parameter = 0.five and reverberation time RT60 = 200 ms.We then investigate the reproduction efficiency inside the entire reproduction area, in particular the reproduction final results at uncontrolled points. We randomly chosen 20 uncontrolled points, whose positions are shown in Table 2. The corresponding reproduction error and with various values on the tuning parameter are drawn in Figures 5 and 6, respectively. It can be noticed that the NMSE worth of both reproduced intensity and sou.