| 张阳,向宇,石梓玉,陆静,王玉江.基于压缩感知和快速波叠加谱方法的近场声全息[J].声学技术,2021,40(3):422~428 |
| 基于压缩感知和快速波叠加谱方法的近场声全息 |
| Near-field acoustic holography based on compressed sensing and the fast wave superposition spectral method |
| 投稿时间：2021-01-20 修订日期：2021-03-17 |
| DOI：10.16300/j.cnki.1000-3630.2021.03.020 |
| 中文关键词: 近场声全息 等效源法 压缩感知 快速波叠加谱方法 |
| 英文关键词: near-field acoustic holography equivalent source method compressed sensing fast wave superposition spectral method |
| 基金项目:国家自然科学基金资助项目（51775121）。 |
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| 中文摘要: |
| 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重建效果。计算结果表明：当频率较低时，所提方法与传统方法的重建精度相当；但随着频率升高，所提方法的重建精度与抗噪性能均优于传统方法。 |
| 英文摘要: |
| 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. |
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