Reconstructing the normal velocities of acoustic sources in noisy environments using a rigid microphone array

Xiang, Shang; Jiang, Weikang; Jiang, Hao; Gao, Jianzheng

doi:10.1121/1.4963088

Cited by 11 publications

(5 citation statements)

References 31 publications

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“…It should be mentioned that the noise floor or the signal-tonoise ratio (SNR) of the sound field is required as a priori information when solving (12), which is commonly performed using the interior-point convex optimization algorithm implemented in the CVX toolkit in MATLAB [39]. However, the large elements in the solution vector are penalized more heavily by the 1 -norm than the smaller ones.…”

Section: W-1 -Normmentioning

confidence: 99%

“…Near-field acoustic holography [1]- [6] and beamforming [7]- [9] are common array processing techniques. Therein, spherical near-field acoustical holography (S-NAH) [10]- [12] and spherical equivalent source method (S-ESM) [13] using spherical microphone arrays have been developed to achieve the omnidirectional acoustic source identification (i.e., simultaneous identification of sound sources in all directions), as the spherical microphone array features the spherical symmetry and quasiomnidirectional properties [14].…”

Section: Introductionmentioning

confidence: 99%

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Iteratively Reweighted Spherical Equivalent Source Method for Acoustic Source Identification

et al. 2019

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Spherical equivalent source method (S-ESM) using rigid spherical microphone arrays can simultaneously identify sound sources in all directions. In this paper, based on the reweighting and sparse representation frameworks, the sparsity-promoting iteratively reweighted least squares (IRLS) and reweighted 1 -norm minimization (referred as w-1 -norm) are exploited to improve the performance of acoustic source identification for S-ESM. The numerical and experimental results indicate accurate acoustic source identification for the two iteratively reweighted algorithms. IRLS can provide good acoustic source identification over the wide frequency and measurement distance ranges, improving the performance of the established S-ESM. In addition, w-1 -norm is also an alternative solution strategy for S-ESM, although at the expense of low computational efficiency and given prior information.

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Section: W-1 -Normmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Iteratively Reweighted Spherical Equivalent Source Method for Acoustic Source Identification

et al. 2019

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“…The iHS methodology presented herein does not belong to the class of inverse problems in acoustics that are concerned with the reconstruction of one or multiple acoustic sources from far field acoustic measurements. 1,2 It is more appropriately classifiable as an inverse Cauchy problem 3 applied to the thermoviscouswave equations (TWE), where one or multiple unknown boundary conditions are determined via the assign-ment of the value of the angular frequency ω (as in the convention (1)) and at least one other boundary condition. Such problems are typically solved using iterative techniques 4,5 and rely on an initial guess for the unknown boundary condition that is updated until a given condition is satisfied within a tolerance.…”

Section: Motivation and Previous Workmentioning

confidence: 99%

“…The iHS methodology presented herein does not belong to the class of inverse problems in acoustics that are concerned with the reconstruction of one or multiple acoustic sources from far field acoustic measurements [2,3]. It is rather more appropriately classifiable as an inverse Cauchy problem [4] applied to the thermoviscous-wave equations (TWE): the unknown, frequency-transformed solution at one or multiple boundaries is found by assigning the angular frequency ω (as per ansatz (1)) and the phase distribution of either velocity or pressure fluctuations at said boundary with the solution being known on the other boundaries (and not necessarily homogeneous).…”

Section: Introductionmentioning

confidence: 99%

Surface Impedance Determination via Numerical Resolution of the Inverse Helmholtz Problem

Patel

Gupta

Scalo

2017

23rd AIAA/CEAS Aeroacoustics Conference

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Assigning boundary conditions, such as acoustic impedance, to the frequency domain thermoviscous wave equations (TWE), derived from the linearized Navier-Stokes equations (LNSE) poses a Helmholtz problem, solution to which yields a discrete set of complex eigenfunctions and eigenvalue pairs. The proposed method -the inverse Helmholtz solver (iHS) -reverses such procedure by returning the value of acoustic impedance at one or more unknown impedance boundaries (IBs) of a given domain, via spatial integration of the TWE for a given real-valued frequency with assigned conditions on other boundaries. The iHS procedure is applied to a second-order spatial discretization of the TWEs on an unstructured staggered grid arrangement. Only the momentum equation is extended to the center of each IB face where pressure and velocity components are co-located and treated as unknowns. The iHS is finally closed via assignment of the surface gradient of pressure phase over the IBs, corresponding to assigning the shape of the acoustic waveform at the IB. The iHS procedure can be carried out independently for different frequencies, making it embarrassingly parallel, and able to return the complete broadband complex impedance distribution at the IBs in any desired frequency range to arbitrary numerical precision. The iHS approach is first validated against Rott's theory for viscous rectangular and circular ducts. The impedance of a toy porous cavity with a complex geometry is then reconstructed and validated with companion fully compressible unstructured Navier-Stokes simulations resolving the cavity geometry. Verification against one-dimensional impedance test tube calculations based on time-domain impedance boundary conditions (TDIBC) is also carried out. Finally, results from a preliminary analysis of a thermoacoustically unstable cavity are presented.

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“…However, this technique cannot accurately reconstruct the local sound field. To identify source velocities in complex environments, the inverse patch transfer functions method (iPTF) suitable for three-dimensional structures was proposed [ 11 , 12 , 13 , 14 ]. However, the problem of inversion of the ill-conditioned matrix needs to be solved when this method is used.…”

Section: Introductionmentioning

confidence: 99%

Recovering the Free-Field Acoustic Characteristics of a Vibrating Structure from Bounded Noisy Underwater Environments

Lin

2021

Sensors

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The vibrational behavior of an underwater structure in the free field is different from that in bounded noisy environments because the fluid–structure interaction is strong in the water and the vibration of the structure caused by disturbing fields (the reflections by boundaries and the fields radiated by sources of disturbances) cannot be ignored. The conventional free field recovery (FFR) technique can only be used to eliminate disturbing fields without considering the difference in the vibrational behavior of the structure in the free field and the complex environment. To recover the free-field acoustic characteristics of a structure from bounded noisy underwater environments, a method combining the boundary element method (BEM) with the vibro-acoustic coupling method is presented. First, the pressures on the measurement surface are obtained. Second, the outgoing sound field and the rigid body scattered sound field are calculated by BEM. Then, the vibro-acoustic coupling method is employed to calculate the elastically radiated scattered sound field. Finally, the sound field radiated by the structure in the free field is recovered by subtracting the rigid body scattered sound field and the elastically radiated scattered sound field from the outgoing sound field. The effectiveness of the proposed method is validated by simulation results.

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Reconstructing the normal velocities of acoustic sources in noisy environments using a rigid microphone array

Cited by 11 publications

References 31 publications

Iteratively Reweighted Spherical Equivalent Source Method for Acoustic Source Identification

Iteratively Reweighted Spherical Equivalent Source Method for Acoustic Source Identification

Surface Impedance Determination via Numerical Resolution of the Inverse Helmholtz Problem

Recovering the Free-Field Acoustic Characteristics of a Vibrating Structure from Bounded Noisy Underwater Environments

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