Method for efficient sound field control of a compact loudspeaker array
A method for optimizing the design and sound field control of a compact loud-speaker array, which includes a plurality of loudspeakers located on a closed loudspeaker surface and the control of the emitted sound field by the loudspeakers within a limited reproduction subspace, having the steps of capturing the sound field using a plurality of microphones and adjusting filter coefficients that modify the alimentation signals of the loudspeakers to minimize the difference between reproduced signals captured by the microphones and target signals describing a target sound field. A conical reproduction surface encloses a reproduction subspace is defined such that the apex of the conical reproduction surface is within the closed loudspeaker surface. Loud-speakers are positioned on a limited loudspeaker surface and the closed loudspeaker surface. The microphones are located on a limited microphone surface defined by the intersection of the inner volume of the conical reproduction subspace and the closed microphone surface.
1. A method for optimizing design and sound field control of a sound reproduction device comprising a plurality of loudspeakers located on a surface of the sound reproduction device forming a closed loudspeaker surface, said method comprising the steps of:
controlling an emitted sound field by said plurality of loudspeakers within a limited reproduction subspace by capturing said sound field using a plurality of microphones located on a closed microphone surface enclosing a closed loudspeaker surface and adjusting filter coefficients for modifying alimentation signals of said plurality of loudspeakers for reproducing a target sound field;
defining a conical reproduction surface enclosing the limited reproduction sub-space so such that an apex of said conical reproduction surface is comprised within or behind the closed loudspeaker surface;
defining a closed microphone surface comprising the apex of the conical reproduction surface and the closed loudspeaker surface;
positioning said plurality of loudspeakers on a limited loudspeaker surface defined by an intersection of an inner volume of the conical reproduction surface and the closed loudspeaker surface;
positioning said plurality of microphones on a limited microphone surface defined by the intersection of the inner volume of the conical reproduction surface and the closed microphone surface;
capturing the sound field radiated by said plurality of loudspeakers located at fixed positions on the limited loudspeaker surface using said plurality of microphones located at fixed positions on a limited microphone surface; and,
adjusting said filter coefficients for modifying the alimentation signals of said plurality of loudspeakers for minimizing a difference between reproduced signals captured by said plurality of microphones and target signals describing said target sound field within the limited reproduction subspace.
2. The method for optimizing design and sound field control of a sound reproduction device according to claim 1 , further comprising the step of:
obtaining the reproduced signals using a physical measurement for capturing a free field radiation of said plurality of loudspeakers.
3. The method for optimizing design and sound field control of a sound reproduction device according to claim 1 , further comprising the step of:
obtaining the reproduced signals used a model for characterizing a free field radiation of said plurality of loudspeakers.
4. The method for optimizing design and sound field control of a sound reproduction device according to claim 1 , wherein said plurality of microphones are arranged for providing an aliasing-free description of said sound field in said limited reproduction subspace up to a corner frequency.
5. The method for optimizing design and sound field control of a sound reproduction device according to claim 1 , wherein said plurality of loudspeakers are arranged for providing an aliasing-free synthesis of said sound field in said limited reproduction subspace up to a corner frequency.
6. The method for optimizing design and sound field control of a sound reproduction device according to claim 1 , wherein said filter coefficients are first filter coefficients and are modified by accounting for acoustic power radiated by said sound reproduction device for synthesizing the target sound field forming second filter coefficients that compensate for a difference between an estimated acoustic power radiated by the sound reproduction device for the synthesis of the target sound field to an estimate of acoustic power of the target sound field for accounting for sound field radiated by said plurality of loudspeakers via said sound reproduction device out of the limited reproduction subspace.
7. The method for optimizing design and sound field control of a sound reproduction device according to claim 6 , further comprising the step of:
estimating the acoustic power radiated by the sound reproduction device for the synthesis of the target sound field by positioning said plurality of loudspeakers in a reflective environment and capturing reproduced signals in the reflective environment with a plurality of additional microphones.
8. The method for optimizing design and sound field control of a sound reproduction device according to claim 6 , further comprising the step of:
estimating the acoustic power radiated by the sound reproduction device for the synthesis of the target sound field by using a model of radiation for said plurality of loudspeakers.
9. The method for optimizing design and sound field control of a sound reproduction device according to claim 6 , further comprising the step of:
obtaining the second filter coefficients by applying acoustic power correction filter coefficients to the first filter coefficients.