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The paper shows the potential of sparsity-based methods in restoring quantized signals. Following up on the study of Brauer et al. (IEEE ICASSP 2016), we significantly extend the range of the evaluation scenarios: we introduce the analysis…

Signal Processing · Electrical Eng. & Systems 2020-08-13 Pavel Záviška , Pavel Rajmic

This work investigates the empirical performance of the sparse synthesis versus sparse analysis regularization for the ill-posed inverse problem of audio declipping. We develop a versatile non-convex heuristics which can be readily used…

Sound · Computer Science 2015-06-10 Srđan Kitić , Nancy Bertin , Rémi Gribonval

Recent advances in audio declipping have substantially improved the state of the art.% in certain saturation regimes. Yet, practitioners need guidelines to choose a method, and while existing benchmarks have been instrumental in advancing…

Sound · Computer Science 2020-12-01 Clément Gaultier , Srđan Kitić , Rémi Gribonval , Nancy Bertin

A novel method for audio declipping based on sparsity is presented. The method incorporates psychoacoustic information by weighting the transform coefficients in the $\ell_1$ minimization. Weighting leads to an improved quality of…

Audio and Speech Processing · Electrical Eng. & Systems 2020-07-02 Pavel Záviška , Pavel Rajmic , Jíří Schimmel

We present a dequantization method that employs a phase-aware regularizer, originally successfully applied in an audio inpainting problem. The method promotes a temporal continuity of sinusoidal components in time-frequency representation…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-26 Vojtěch Kovanda , Pavel Rajmic

Convex optimization with sparsity-promoting convex regularization is a standard approach for estimating sparse signals in noise. In order to promote sparsity more strongly than convex regularization, it is also standard practice to employ…

Computer Vision and Pattern Recognition · Computer Science 2015-06-17 Po-Yu Chen , Ivan W. Selesnick

Spatial audio quality is a highly multifaceted concept, with many interactions between environmental, geometrical, anatomical, psychological, and contextual considerations. Methods for characterization or evaluation of the geometrical…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-27 Karn N. Watcharasupat , Alexander Lerch

We develop the analysis (cosparse) variant of the popular audio declipping algorithm of Siedenburg et al. (2014). Furthermore, we extend both the old and the new variants by the possibility of weighting the time-frequency coefficients. We…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-08 Pavel Záviška , Pavel Rajmic

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

Information Theory · Computer Science 2015-07-24 Yuanxin Li , Yuejie Chi

Sparsity in the eigenvectors of signal covariance matrices is exploited in this paper for compression and denoising. Dimensionality reduction (DR) and quantization modules present in many practical compression schemes such as transform…

Applications · Statistics 2015-06-03 Ioannis D. Schizas , Georgios B. Giannakis

This paper examines the implications of using the Scale-Invariant Signal-to-Distortion Ratio (SI-SDR) as both evaluation and training objective in supervised speech separation, when the training references contain noise, as is the case with…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-21 Simon Dahl Jepsen , Mads Græsbøll Christensen , Jesper Rindom Jensen

We deal with the problem of sparsity-based audio inpainting, i.e. filling in the missing segments of audio. A consequence of the approaches based on mathematical optimization is the insufficient amplitude of the signal in the filled gaps.…

Audio and Speech Processing · Electrical Eng. & Systems 2020-11-03 Ondřej Mokrý , Pavel Rajmic

Small compression noises, despite being transparent to human eyes, can adversely affect the results of many image restoration processes, if left unaccounted for. Especially, compression noises are highly detrimental to inverse operators of…

Computer Vision and Pattern Recognition · Computer Science 2016-01-08 Xiao Shu , Xiaolin Wu

The method described here performs blind deconvolution of the beamforming output in the frequency domain. To provide accurate blind deconvolution, sparsity priors are introduced with a smooth \ell_1/\ell_2 regularization term. As the mean…

Data Analysis, Statistics and Probability · Physics 2016-04-13 Mai Quyen Pham , Benoit Oudompheng , Jérôme I. Mars , Barbara Nicolas

In this paper, we address an important problem in high-quality audio communication systems. Acoustic echo cancellation with stereo signals is generally an under-determined problem because of the generally important correlation that exists…

Sound · Computer Science 2016-03-11 Jean-Marc Valin

Some audio declipping methods produce waveforms that do not fully respect the physical process of clipping, which is why we refer to them as inconsistent. This letter reports what effect on perception it has if the solution by inconsistent…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-08 Pavel Záviška , Pavel Rajmic , Ondřej Mokrý

The paper presents a method for improving spatial resolution of first-order ambisonic audio. The method is based on time/frequency decomposition of the audio with subsequent extraction of a directed plane wave from each frequency component.…

Sound · Computer Science 2023-12-14 Denis Likhachov , Nick Petrovsky , Elias Azarov

We introduce the sparse direct sampling method (DSM) to estimate properties of a region from signals that probe the region. We demonstrate the sparse-DSM on two separate problems: estimating both the angle-of-arrival of a radio wave…

Analysis of PDEs · Mathematics 2020-10-19 Isaac Harris , Jacob D Rezac

The state of the art in audio declipping has currently been achieved by SPADE (SParse Audio DEclipper) algorithm by Kiti\'c et al. Until now, the synthesis/sparse variant, S-SPADE, has been considered significantly slower than its…

Audio and Speech Processing · Electrical Eng. & Systems 2018-07-19 Pavel Záviška , Pavel Rajmic , Zdeněk Průša , Vítězslav Veselý

We propose a unified modeling and algorithmic framework for audio restoration problem. It encompasses analysis sparse priors as well as more classical synthesis sparse priors, and regular sparsity as well as various forms of structured…

Sound · Computer Science 2017-12-01 Clément Gaultier , Nancy Bertin , Srđan Kitić , Rémi Gribonval
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