S$^2$H Domain Processing for Acoustic Source Localization and Beamforming Using Microphone Array on Spherical Sector

Kumari, Deepika; Kumar, Lalan

doi:10.1109/tsp.2021.3067155

Cited by 9 publications

(6 citation statements)

References 14 publications

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“…An increase in the localization error was observed thereafter thus giving an upper bound on the array order. This is consistent with the array signal processing 20 . In general, it may be observed that the H MUSIC method outperforms the SH counterpart.…”

Section: Simulated Data Analysissupporting

confidence: 91%

“…In this work, we proposed a novel framework for active brain source localization by utilizing anatomical harmonics (Spherical Harmonics (SH) and Head Harmonics (H 2 )) domain processing on measured EEG data. SH have been widely used for acoustic source localization due to ease of array processing in SH domain 19 , 20 . It requires sensor array to be arranged on a rigid spherical baffle.…”

Section: Introductionmentioning

confidence: 99%

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Anatomical harmonics basis based brain source localization with application to epilepsy

Giri

Kumar

Kurwale

et al. 2022

Sci Rep

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Brain Source Localization (BSL) using Electroencephalogram (EEG) has been a useful noninvasive modality for the diagnosis of epileptogenic zones, study of evoked related potentials, and brain disorders. The inverse solution of BSL is limited by high computational cost and localization error. The performance is additionally limited by head shape assumption and the corresponding harmonics basis function. In this work, an anatomical harmonics basis (Spherical Harmonics (SH), and more particularly Head Harmonics (H2)) based BSL is presented. The spatio-temporal four shell head model is formulated in SH and H2 domain. The anatomical harmonics domain formulation leads to dimensionality reduction and increased contribution of source eigenvalues, resulting in decreased computation and increased accuracy respectively. The performance of spatial subspace based Multiple Signal Classification (MUSIC) and Recursively Applied and Projected (RAP)-MUSIC method is compared with the proposed SH and H2 counterparts on simulated data. SH and H2 domain processing effectively resolves the problem of high computational cost without sacrificing the inverse source localization accuracy. The proposed H2 MUSIC was additionally validated for epileptogenic zone localization on clinical EEG data. The proposed framework offers an effective solution to clinicians in automated and time efficient seizure localization.

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Section: Simulated Data Analysissupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Anatomical harmonics basis based brain source localization with application to epilepsy

Giri

Kumar

Kurwale

et al. 2022

Sci Rep

Self Cite

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“…In Ref. [23], a spherical sensor array is designed to achieve full bandwidth positioning function. However, the above array is not developed for the acoustic imaging of power equipment, in which only a small number of sensors are used.…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization Design Method for Acoustic Imaging Array of Power Equipment

Xiong,

Zha,

Pei

et al. 2024

Sensors

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Acoustic imaging technology has the advantages of non-contact and intuitive positioning. It is suitable for the rapid positioning of defects such as the mechanical loosening, discharge, and DC bias of power equipment. However, the existing research lacks the optimization design of microphone array topology. The acoustic frequency domain characteristics of typical power equipment are elaborately sorted out. After that, the cut-off frequencies of acoustic imaging instruments are determined, to meet the needs of the full bandwidth test requirements. Through a simulation calculation, the circular array is demonstrated to be the optimal shape. And the design parameters affect the imaging performance of the array to varying degrees, indicating that it is difficult to obtain the optimal array topology by an exhaustive method. Aimed at the complex working conditions of power equipment, a topology optimization design method of an acoustic imaging array for power equipment is proposed, and the global optimal solution of microphone array topology is obtained. Compared with the original array, the imaging performance of the improved LF and HF array is promoted by 54% and 49%, respectively. Combined with the simulation analysis and laboratory test, it is verified that the improved array can not only accurately locate the single sound source but also accurately identify the main sound source from the interference of the contiguous sound source.

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“…Array processing techniques for hemispherical arrays mounted on the ceiling or the top of a conference table have been developed [26]- [28]. Recently, microphone arrays where the microphones are placed only in an arbitrary sector of a sphere have also been developed [29]. The orthonormal basis function of the spherical sector harmonics (S 2 H) was introduced in [30], which is a generalized version of the SH basis function.…”

mentioning

confidence: 99%

“…The S 2 H basis function becomes the SH basis function when the sector is the entire sphere. Far-field acoustic localization and beamforming methods using spherical sector microphone array (S 2 MA) were proposed in [29] in the S 2 H domain. Optimal beamformer designs and S 2 H norm applied to blind source separation were presented in [31], [32].…”

mentioning

confidence: 99%

Near-Field Source Localization and Beamforming in the Spherical Sector Harmonics Domain

Yadav,

Prasanna,

George

2024

Preprint

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Three-dimensional arrays have the ability to localize sources anywhere in the spatial domain without any ambiguity. Among these arrays, the spherical microphone array (SMA) has gained widespread usage in acoustic source localization and beamforming. However, SMAs are bulky and in many applications with space and power constraints, it is undesirable to use an SMA. To deal with this issue, arrays with microphones placed only in a sector of a sphere have been developed along with various techniques for localizing far-field sources in the spherical sector harmonics (SH) domain. This work addresses near-field acoustic localization and beamforming using a spherical sector microphone array. We present the representation of spherical waves from a point source in the SH domain using the orthonormal SH basis functions. Then, using the representation, we develop an array model for when a spherical sector array is placed in a wavefield created by multiple near-field sources in the SH domain. Using the developed array model, two algorithms are proposed for the joint estimation of the range, elevation and azimuth locations of near-field sources, namely NF-SH-MUSIC and NF-SH-MVDR. Further, a near-field beamforming algorithm capable of radial and angular filtering in the SH domain is also presented. Finally, we present the Cramer-Rao Bound (CRB) in the SH domain for near-field sources. The performances of the proposed algorithms are assessed using extensive localization and beamforming simulations.

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S$^2$H Domain Processing for Acoustic Source Localization and Beamforming Using Microphone Array on Spherical Sector

Cited by 9 publications

References 14 publications

Anatomical harmonics basis based brain source localization with application to epilepsy

Anatomical harmonics basis based brain source localization with application to epilepsy

Topology Optimization Design Method for Acoustic Imaging Array of Power Equipment

Near-Field Source Localization and Beamforming in the Spherical Sector Harmonics Domain

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