基于压缩感知和快速波叠加谱方法的近场声全息

在等效源法近场声全息理论的基础上,将等效源强和积分核函数在轴对称虚拟面上进行双向傅里叶级数展开,使待求的源强向量转化为稀疏的傅里叶展开系数向量,并结合压缩感知重构算法中的基追踪降噪算法建立了一种基于压缩感知和快速波叠加谱的半解析、半数值等效源近场声全息方法.利用脉动球源与长条形声源对比了所提方法与传统压缩等效源法的声场...

Near-field acoustic holography based on compressed sensing and the fast wave superposition spectral method

Based on the near-field acoustic holography theory of equivalent source method, the equivalent source strength and the integral kernel function perform a bidirectional Fourier series expansion on the axisymmetric virtual plane, so that the unknown source strength vector is transformed into a sparse Fourier expansion coefficient vector. Combined with the basis pursuit de-noising algorithm in the compressed sensing reconstruction algorithm, a semianalytical and semi-numerical equivalent source near-field acoustic holography method is established based on the compressed sensing and fast wave superposition spectral method. The pulsating spherical sound source and the long-strip sound source are taken as the numerical examples to compare the sound field reconstruction effects. The results show that the reconstruction accuracy of the proposed method is the same as the traditional method at the low frequency, but its reconstruction accuracy and anti-noise performance are better than the traditional method with the increase of frequency.