Sound field separation method adopting sparse measurement

Abstract

The invention relates to a sound field separation method adopting sparse measurement, and belongs to the technical field of acoustics. The method has the characteristics of arranging two measuring surfaces between sound sources of a plurality of to-be-separated sound fields, using a random sparse array to measure sound pressure signal on the measuring surfaces, arranging an equivalent sound sourceface which is provided with point sound sources on two sides of the measuring surface, and fitting the sound pressure signal with a point sound source according to the equivalent source principle andthe wave superposition principle to form a fitting sound field; obtaining a sparse basis of a fitting sound field sound pressure vector through a singular value decomposition according to the compressed sensing theory, and establishing a sound field separation model; and substituting the measured sound pressure signal and the sparse basis of the fitting sound field sound pressure vector into thesound field separation model, obtaining a sparse solution of a weight vector through a sparse regularization method, so as to separately obtaining sound fields generated by sound sources at two sidesof the measuring surface to achieve sound field separation. According to the sound field separation method adopting sparse measurement, only fewer measuring points are needed to perform sound field separation on the sound sources, and the method has high separation precision and spatial resolution.

Description

technical field [0001] The invention relates to a sound field separation method using sparse measurement, and belongs to the technical field of acoustics. Background technique [0002] The sound field separation technology has a wide range of applications in the fields of scattered sound calculation, reflection coefficient measurement, and sound field reconstruction in non-free sound fields. At present, the sound field separation technology mainly includes: the sound field separation technology based on the spatial two-dimensional Fourier transform proposed by Yu Fei et al., the statistical optimal sound field separation technology based on the statistical optimal sound field separation technology proposed by J.Hald et al., and the mirror method sound field separation proposed by F.Jacobsen et al. technology etc. However, most of these sound field separation methods require sound pressure and particle velocity on two measurement surfaces or a single measurement surface, and...

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Problems solved by technology

However, most of these sound field separation methods require sound pressure and particle velocity on two measurement surfaces or a single measurement surface, and their resolution is limited by the sampling theorem, and the measurement cost is high

The sound field separation technology for sound pressure measurement on a single measuring surface proposed by Song Yulai et al. and Mao Jin et al. respectively reduces the number of measuring points to a certain extent, but both methods need to predict the approximate location of the sound source, which affects their scope of application.

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