Coherent-to-Diffuse Power Ratio Estimation for Dereverberation

Schwarz, Andreas; Kellermann, Walter

doi:10.1109/taslp.2015.2418571

Cited by 95 publications

(92 citation statements)

References 46 publications

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“…, M . To avoid explicit inverse matrix computation, instead of R (p) itself, we recursively estimate its inverse (R (p) ) −1 based on the Sherman-Morrison formula (14). This procedure is summarized in Algorithm 1, where the Sherman-Morrison formula is applied in each of M loops.…”

Section: B Recursive Ctf Identificationmentioning

confidence: 99%

Multichannel Online Dereverberation Based on Spectral Magnitude Inverse Filtering

Girin

Gannot

et al. 2019

IEEE/ACM Trans. Audio Speech Lang. Process.

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This paper addresses the problem of multichannel online dereverberation. The proposed method is carried out in the short-time Fourier transform (STFT) domain, and for each frequency band independently. In the STFT domain, the timedomain room impulse response is approximately represented by the convolutive transfer function (CTF). The multichannel CTFs are adaptively identified based on the cross-relation method, and using the recursive least square criterion. Instead of the complexvalued CTF convolution model, we use a nonnegative convolution model between the STFT magnitude of the source signal and the CTF magnitude, which is just a coarse approximation of the former model, but is shown to be more robust against the CTF perturbations. Based on this nonnegative model, we propose an online STFT magnitude inverse filtering method. The inverse filters of the CTF magnitude are formulated based on the multipleinput/output inverse theorem (MINT), and adaptively estimated based on the gradient descent criterion. Finally, the inverse filtering is applied to the STFT magnitude of the microphone signals, obtaining an estimate of the STFT magnitude of the source signal. Experiments regarding both speech enhancement and automatic speech recognition are conducted, which demonstrate that the proposed method can effectively suppress reverberation, even for the difficult case of a moving speaker.

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Section: B Recursive Ctf Identificationmentioning

confidence: 99%

Multichannel Online Dereverberation Based on Spectral Magnitude Inverse Filtering

Girin

Gannot

et al. 2019

IEEE/ACM Trans. Audio Speech Lang. Process.

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“…These methods can be broadly classified into spectral enhancement methods, probabilistic model-based methods, and acoustic multichannel equalization methods. Spectral enhancement methods [3]- [8] are usually designed to only suppress the late reverberation and are typically based on a room acoustic model parameterized by the reverberation time T 60 and the direct-to-reverberation ratio (DRR). These methods first estimate the power spectral density (PSD) of the late reverberation, and then use spectral enhancement, e.g., Wiener filtering, to estimate the clean speech spectrogram.…”

Section: Nasser Mohammadiha Simon Doclomentioning

confidence: 99%

Speech Dereverberation Using Non-Negative Convolutive Transfer Function and Spectro-Temporal Modeling

Mohammadiha

Doclo

2016

IEEE/ACM Trans. Audio Speech Lang. Process.

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This paper presents two single-channel speech dereverberation methods to enhance the quality of speech signals that have been recorded in an enclosed space. For both methods, the room acoustics are modeled using a non-negative approximation of the convolutive transfer function (N-CTF), and to additionally exploit the spectral properties of the speech signal, such as the low-rank nature of the speech spectrogram, the speech spectrogram is modeled using non-negative matrix factorization (NMF). Two methods are described to combine the N-CTF and NMF models. In the first method, referred to as the integrated method, a cost function is constructed by directly integrating the speech NMF model into the N-CTF model, while in the second method, referred to as the weighted method, the N-CTF and NMF based cost functions are weighted and summed. Efficient update rules are derived to solve both optimization problems. In addition, an extension of the integrated method is presented, which exploits the temporal dependencies of the speech signal. Several experiments are performed on reverberant speech signals with and without background noise, where the integrated method yields a considerably higher speech quality than the baseline N-CTF method and a state-of-the-art spectral enhancement method. Moreover, the experimental results indicate that the weighted method can even lead to a better performance in terms of instrumental quality measures, but that the optimal weighting parameter depends on the room acoustics and the utilized NMF model. Modeling the temporal dependencies in the integrated method was found to be useful only for highly reverberant conditions.

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“…This model was found to be a good approximation for reverberant sound fields in environments with strong attenuation along an axis perpendicular to the axis of the microphone pair, e.g., rooms with strong absorbing floor and ceiling (Elko, 2000;Schwarz and Kellermann, 2015). 2.3 Proposed model for rectangular rooms While the spherically and cylindrically isotropic sound field models are often used to approximate the spatial coherence function of reverberant sound fields, real rooms rarely have isotropic properties.…”

Section: Cylindrically Isotropic Sound Field Modelmentioning

confidence: 99%

“…Spatial coherence functions are an important measure for the properties of a sound field, and relevant for various signal processing applications, e.g., dereverberation by spatial post-filtering methods (McCowan and Bourlard, 2003;Schwarz and Kellermann, 2015). First, the well-known spherically isotropic (diffuse) and cylindrically isotropic models for idealized stationary sound fields are briefly reviewed.…”

Section: Introductionmentioning

confidence: 99%

A model for the temporal evolution of the spatial coherence in decaying reverberant sound fields

Nees

Schwarz

Kellermann

2015

The Journal of the Acoustical Society of America

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Reverberant sound fields are often modeled as isotropic. However, it has been observed that spatial properties change during the decay of the sound field energy, due to non-isotropic attenuation in non-ideal rooms. In this letter, a model for the spatial coherence between two sensors in a decaying reverberant sound field is developed for rectangular rooms. The modeled coherence function depends on room dimensions, surface reflectivity and orientation of the sensor pair, but is independent of the position of source and sensors in the room. The model includes the spherically isotropic (diffuse) and cylindrically isotropic sound field models as special cases.

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Coherent-to-Diffuse Power Ratio Estimation for Dereverberation

Cited by 95 publications

References 46 publications

Multichannel Online Dereverberation Based on Spectral Magnitude Inverse Filtering

Multichannel Online Dereverberation Based on Spectral Magnitude Inverse Filtering

Speech Dereverberation Using Non-Negative Convolutive Transfer Function and Spectro-Temporal Modeling

A model for the temporal evolution of the spatial coherence in decaying reverberant sound fields

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