Method for practical implementation of sound field reproduction based on surface integrals in three dimensions
A method for 3D sound field reproduction from a first audio input signal using a plurality of loudspeakers distributed over a loudspeaker surface aiming at synthesizing a 3D sound field within a listening area in which none of the loudspeakers are located with the sound field radiating from a virtual source, includes the steps of calculating positioning filters using virtual source description data and loudspeaker description data according to a sound field reproduction technique derived from a surface integral, applying positioning filter coefficients to filter the first audio input signal to form second audio input signals. Loudspeakers are positioned for a sampling of the loudspeaker surface into second loudspeaker surfaces for which the loudspeaker spacing is smaller for loudspeakers located in the horizontal plane than for elevated loudspeakers.
1. A method for 3D sound field reproduction from a first audio input signal using a plurality of loudspeakers distributed over a loudspeaker surface aiming at synthesizing a 3D sound field within a listening area in which none of the plurality of loudspeakers are located, said sound field being radiated from a virtual source, said method comprising steps of:
calculating positioning filters using virtual source description data and loudspeaker description data according to a sound field reproduction technique derived from a surface integral;
applying positioning filter coefficients for filtering the first audio input signal for forming second audio input signals;
positioning loudspeakers for realizing a sampling and fractioning of the entire loudspeaker surface into second, fractioned and smaller loudspeaker surfaces assigned to each single loudspeaker of the plurality of loudspeakers, and for which fractioned loudspeaker surfaces the loudspeaker spacing is smaller for loudspeakers located in a horizontal plane than for elevated loudspeakers so loudspeaker density in said horizontal plane is the highest and decreases with distances of loudspeakers located away, and thus elevated from, said horizontal plane;
defining loudspeaker weighting data from a ratio between an area covered by the second loudspeaker surfaces and a total area of the loudspeaker surface;
modifying the second audio input signals according to the loudspeaker weighting for forming third audio input signals; and,
alimenting loudspeakers with the third audio input signals for synthesizing a sound field.
2. The method of claim 1 , wherein modification of the second audio input signals implies a reduction of a level of the second audio input signals corresponding to low loudspeaker weighting data.
3. The method of claim 2 , wherein the reduction of the level of the second audio input signals corresponding to low loudspeaker weighting data is frequency dependent.
4. The method of claim 1 , wherein the loudspeaker weighting data are calculated using the ratio between the area covered by the second loudspeaker surfaces and the total area of the loudspeaker surface combined with a decreasing function of the distance between each loudspeaker to a line joining the virtual source position according to the virtual source positioning data and a reference listening position located within the listening area.
5. The method of claim 1 , wherein the loudspeaker weighting data are calculated using the ratio between the area covered by the second loudspeaker surfaces and the total area of the loudspeaker surface combined with a decreasing function of an absolute angle difference between each loudspeaker and the virtual source position according to the virtual source positioning data calculated relative to a reference listening position located within the listening area.