Analysis of the average performance of the multi-channel Wiener filter for distributed microphone arrays using statistical room acoustics

Lawin-Ore, Toby Christian; Doclo, Simon

doi:10.1016/j.sigpro.2014.06.017

Cited by 6 publications

(3 citation statements)

References 22 publications

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“…A proximal-point algorithm can be obtained to solve the max-norm minimization problem (11) with the squash algorithm in hand [53], [61]. Let the object matrix S is factorized as S = LR * .…”

Section: Max-norm Minimizationmentioning

confidence: 99%

“…Microphone array provides an important facility for the simultaneous measurements of the sound field that is radiating from the sound sources, and the spatial phase information of the sound field is completely acquired. This complete spatial phase information plays a key role in many tasks of the array signal processing, which results in a wide application in the sound source reconstruction [1], [2], direction of arrival (DOA) estimation [3]- [6], source tracking [7], [8], speech enhancement [9]- [11], and hearing aids [12].…”

Section: Introductionmentioning

confidence: 99%

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Low Complexity Modeling of Cross-Spectral Matrix and Its Application in the Non-Synchronous Measurements of Microphones Array

Fan

Chu

et al. 2021

IEEE Access

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The resolution related with the image quality of acoustic imaging using a microphone array is limited by the size and density of the array. However, non-synchronous measurements can exceed the constraints defined by measurements with a single fixed array. The non-synchronous measurements can achieve a larger and denser aperture array by moving the single array. The key problem of archiving the non-synchronous measurements of a microphone array is the matrix completion of a block diagonal spectral matrix. A comprehensive investigation of the block diagonal spectral matrix completion is still missing in the microphone array signal processing literature since it is usually considered as a difficult problem if without the integrated physical information of the sound field. In this paper, the mathematical relation between the max-norm and the nuclear-norm is pointed out, and the max-norm minimization of the spectral matrix is discussed, which is an effective model with integrated spatial representation of the sound field for the spectral matrix completion. First, the max-norm is utilized for the low complexity modeling and the corresponding Proximal-Point method for Max-norm based Spectral matrix completion (PPMSMC) is proposed; Second, the rank, nuclear-norm and max-norm have been investigated as complexity measures in the context of spectral matrix completion, and their performances are compared. The proposed low-rank methods have constructed a concrete theorem foundation for the non-synchronous measurements of the microphone array.INDEX TERMS Acoustic measurements, low complexity model, max-norm minimization.

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Section: Max-norm Minimizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Low Complexity Modeling of Cross-Spectral Matrix and Its Application in the Non-Synchronous Measurements of Microphones Array

Fan

Chu

et al. 2021

IEEE Access

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“…Recently, research on speech enhancement using socalled acoustic sensor networks consisting of spatially distributed microphones has gained significant interest [1][2][3][4][5][6][7][8][9][10][11][12]. Compared with a microphone array at a single position, spatially distributed microphones are able to acquire more information about the sound field.…”

Section: Introductionmentioning

confidence: 99%

Phase reference for the generalized multichannel Wiener filter

Grimm

Lawin-Ore

Doclo

et al. 2016

EURASIP J. Adv. Signal Process.

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The multichannel Wiener filter (MWF) is a well-established noise reduction technique for speech processing. Most commonly, the speech component in a selected reference microphone is estimated. The choice of this reference microphone influences the broadband output signal-to-noise ratio (SNR) as well as the speech distortion. Recently, a generalized formulation for the MWF (G-MWF) was proposed that uses a weighted sum of the individual transfer functions from the speaker to the microphones to form a better speech reference resulting in an improved broadband output SNR. For the MWF, the influence of the phase reference is often neglected, because it has no impact on the narrow-band output SNR. The G-MWF allows an arbitrary choice of the phase reference especially in the context of spatially distributed microphones. In this work, we demonstrate that the phase reference determines the overall transfer function and hence has an impact on both the speech distortion and the broadband output SNR. We propose two speech references that achieve a better signal-to-reverberation ratio (SRR) and an improvement in the broadband output SNR. Both proposed references are based on the phase of a delay-and-sum beamformer. Hence, the time-difference-of-arrival (TDOA) of the speech source is required to align the signals. The different techniques are compared in terms of SRR and SNR performance.

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Distributed Speech Presence Probability Estimator in Fully Connected Wireless Acoustic Sensor Networks

Ranjbaryan

Abutalebi

2020

Circuits Syst Signal Process

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Analysis of the average performance of the multi-channel Wiener filter for distributed microphone arrays using statistical room acoustics

Cited by 6 publications

References 22 publications

Low Complexity Modeling of Cross-Spectral Matrix and Its Application in the Non-Synchronous Measurements of Microphones Array

Low Complexity Modeling of Cross-Spectral Matrix and Its Application in the Non-Synchronous Measurements of Microphones Array

Phase reference for the generalized multichannel Wiener filter

Distributed Speech Presence Probability Estimator in Fully Connected Wireless Acoustic Sensor Networks

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