Sound intensity and particle velocity based three-dimensional panning methods by five loudspeakers

In this paper, we present two new 3D panning methods. One method guarantees that time-average sound intensity and sound pressure of a virtual sound source at the receiving point are the same as time-averaged sound intensity and sound pressure of five loudspeakers at the receiving point. Another method maintains the direction of particle velocity and sound pressure. These methods can realize using five loudspeakers to replace a virtual sound source. These approaches relies on the assumption that the virtual sound source and five loudspeakers are on the same sphere and the virtual sound source needs to be in the area of a spherical pentagon that consists of the five loudspeakers. In the situation of five loudspeakers replacing a virtual source, these new methods do not need to undertake loudspeakers grouping. Compared with traditional 3D panning methods, these new methods are more convenient.