Sound field reconstruction method based on generalized minimax concave (GMC) penalty function

A minimal-maximum sound field reconstruction technology, which is applied to stereo systems, frequency/direction characteristic devices, electrical components, etc., can solve problems such as local extremum and difficulty in solving, achieve good reconstruction accuracy, and avoid spatial confusion. The effect of overlapping

Active Publication Date: 2018-05-08
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

However, at this time, the objective function is often non-convex, resulting in local extrema, which is difficult to solve

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  • Sound field reconstruction method based on generalized minimax concave (GMC) penalty function
  • Sound field reconstruction method based on generalized minimax concave (GMC) penalty function
  • Sound field reconstruction method based on generalized minimax concave (GMC) penalty function

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[0031] The present invention will be further described below in conjunction with the accompanying drawings and embodiments, and the present invention includes but not limited to the following embodiments.

[0032] A sound field reconstruction method based on the generalized minimum-maximum concave penalty function of the present invention, its basic flow is as follows figure 1 As shown, the specific process is as follows:

[0033] 1. In free space, take a circular area R=1.5m on the z=0 plane as the area A to be reconstructed, and its center as the origin of the coordinate system, and 64 speakers are evenly arranged on the boundary of area A, that is, the composition Circular array with radius R=1.5m; 12 microphones are located in area A to form a circular array with radius r=0.25m. Such as figure 2 As shown in the figure, the box represents the loudspeaker, and the dot represents the microphone. Thus, the position vector r of each loudspeaker can be determined separately ...

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Abstract

The invention provides a sound field reconstruction method based on a generalized minimax concave (GMC) penalty function. The method comprises steps: firstly, a two-dimensional reconstruction area infree space and positions of a loudspeaker array and a microphone array are determined, and the sound pressure of a desired sound field at the microphone array can thus be measured; then, a sound transfer function matrix between a microphone and the loudspeaker is calculated, and a GMC objective function is constructed; a proximal point algorithm is then used to solve a minimization problem, and the amplitude vector of the loudspeaker is obtained; and finally, a reconstructed sound field is calculated. The GMC penalty function is adopted to regularize reconstructed errors, underestimation on the amplitude of the loudspeaker by general sparse regularization can be improved, and the desired sound field can be reconstructed more accurately in the region. Besides, only a small number of loudspeakers are activated, and a space aliasing phenomenon can be avoided, particularly for a high-frequency desired sound field and in the case of under sampling of the desired sound field.

Description

technical field [0001] The invention belongs to the technical field of sound field active control, and in particular relates to a sound field reconstruction method based on a generalized minimum-maximum concave penalty function. Background technique [0002] At present, sound field reconstruction methods can be mainly divided into three categories: (1) reconstructing the spherical harmonic function of the sound field, called high-fidelity stereo reproduction; (2) wave field synthesis, based on Huygens' principle and Kirchhoff- Helmholtz integral formula; (3) sound pressure matching (pressure matching, PM), using the microphone array to sample the desired sound field in space to design the loudspeaker amplitude, so as to minimize the square error between the reconstructed sound field and the desired sound field. Among them, the PM method can be regarded as a linear regression problem with the least square (LS) as the loss function. [0003] However, conventional PM methods e...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04R1/26H04S7/00
CPCH04R1/26H04S7/305H04S2420/13
Inventor 陈克安胥健
Owner NORTHWESTERN POLYTECHNICAL UNIV
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