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Fast Fourier-based deconvolution for three-dimensional acoustic source identification with solid spherical arrays

机译:基于快速傅里叶的反卷积,用于使用固体球形阵列识别三维声源

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摘要

Being capable of demystifying the acoustic source identification result fast, Fourier-based deconvolution has been studied and applied widely for the delay and sum (DAS) beamforming with two-dimensional (2D) planar arrays. It is, however so far, still blank in the context of spherical harmonics beamforming (SHB) with three-dimensional (3D) solid spherical arrays. This paper is motivated to settle this problem. Firstly, for the purpose of determining the effective identification region, the premise of deconvolution, a shift-invariant point spread function (PSF), is analyzed with simulations. To make the premise be satisfied approximately, the opening angle in elevation dimension of the surface of interest should be small, while no restriction is imposed to the azimuth dimension. Then, two kinds of deconvolution theories are built for SHB using the zero and the periodic boundary conditions respectively. Both simulations and experiments demonstrate that the periodic boundary condition is superior to the zero one, and fits the 3D acoustic source identification with solid spherical arrays better. Finally, four periodic boundary condition based deconvolution methods are formulated, and their performance is disclosed both with simulations and experimentally. All the four methods offer enhanced spatial resolution and reduced sidelobe contaminations over SHB. The recovered source strength approximates to the exact one multiplied with a coefficient that is the square of the focus distance divided by the distance from the source to the array center, while the recovered pressure contribution is scarcely affected by the focus distance, always approximating to the exact one.
机译:基于傅里叶的反卷积能够快速消除声源识别结果的神秘性,已被研究并广泛应用于二维(2D)平面阵列的延迟和和(DAS)波束形成。但是,到目前为止,在具有三维(3D)实体球形阵列的球谐波束成形(SHB)的情况下,它仍然是空白。本文旨在解决这个问题。首先,为了确定有效识别区域,通过仿真分析了反卷积的前提,即平移不变点扩展函数(PSF)。为了大致满足该前提,在不限制方位角尺寸的情况下,关注面的仰角尺寸的开口角应较小。然后,分别使用零边界条件和周期性边界条件为SHB建立了两种反卷积理论。仿真和实验均表明,周期性边界条件优于零,并且更适合将3D声源识别与实体球形阵列匹配。最后,提出了四种基于周期性边界条件的反卷积方法,并通过仿真和实验两种方法揭示了它们的性能。与SHB相比,所有这四种方法都可以提高空间分辨率并减少旁瓣污染。恢复的源强度近似于精确的强度乘以系数,该系数是聚焦距离的平方除以从源到阵列中心的距离,而恢复的压力贡献几乎不受聚焦距离的影响,始终近似于确切的一个。

著录项

  • 来源
    《Mechanical systems and signal processing》 |2018年第7期|183-201|共19页
  • 作者单位

    State Key Laboratory of Mechanical Transmissions, Chongqing University,College of Automotive Engineering, Chongqing University,Faculty of Vehicle Engineering, Chongqing Industry Polytechnic College;

    State Key Laboratory of Mechanical Transmissions, Chongqing University,College of Automotive Engineering, Chongqing University;

    State Key Laboratory of Mechanical Transmissions, Chongqing University,College of Automotive Engineering, Chongqing University;

    State Key Laboratory of Mechanical Transmissions, Chongqing University,College of Automotive Engineering, Chongqing University;

    State Key Laboratory of Mechanical Transmissions, Chongqing University,College of Automotive Engineering, Chongqing University;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Fourier-based deconvolution; Spherical harmonics beamforming; Three-dimensional acoustic source identification; Solid spherical arrays;

    机译:基于傅里叶的反卷积球谐波束成形三维声源识别固体球面阵列;

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