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In this paper we propose a method for automatic local time adap- tation of the spectrogram of an audio signal, based on its decomposition within a Gabor multi-frame. The sparsity of the analyses within each individual frame is evaluated…

Sound · Computer Science 2011-09-29 M. Liuni , A. Röbel , M. Romito , X. Rodet

We present an algorithm for sound analysis and resynthesis with local automatic adaptation of time-frequency resolution. There exists several algorithms allowing to adapt the analysis window depending on its time or frequency location; in…

Sound · Computer Science 2011-10-03 Marco Liuni , Peter Balazs , Axel Röbel

Gabor analysis is one of the most common instances of time-frequency signal analysis. Choosing a suitable window for the Gabor transform of a signal is often a challenge for practical applications, in particular in audio signal processing.…

Numerical Analysis · Computer Science 2013-11-13 Benjamin Ricaud , Guillaume Stempfel , Bruno Torrésani , Christoph Wiesmeyr , Hélène Lachambre , Darian Onchis

Time-frequency representations, such as the short-time Fourier transform (STFT), are fundamental tools for analyzing non-stationary signals. However, their ability to achieve sharp localization in both time and frequency is inherently…

Signal Processing · Electrical Eng. & Systems 2026-04-17 David Valdivia , Elsa Cazelles , Cédric Févotte

Speech recognisers usually perform optimally only in a specific environment and need to be adapted to work well in another. For adaptation to a new speaker, there is often too little data for fine-tuning to be robust, and that data is…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-13 Rogier C. van Dalen , Shucong Zhang , Titouan Parcollet , Sourav Bhattacharya

The synchrosqueezing transform, a kind of reassignment method, aims to sharpen the time-frequency representation and to separate the components of a multicomponent non-stationary signal. In this paper, we consider the short-time Fourier…

Signal Processing · Electrical Eng. & Systems 2019-09-27 Lin Li , Haiyan Cai , Hongxia Han , Qingtang Jiang , Hongbing Ji

We propose a new algorithm for time stretching music signals based on the theory of nonstationary Gabor frames (NSGFs). The algorithm extends the techniques of the classical phase vocoder (PV) by incorporating adaptive time-frequency (TF)…

Sound · Computer Science 2017-09-14 Emil Solsbæk Ottosen , Monika Dörfler

The short-time Fourier transform (STFT) is widely used for analyzing non-stationary signals. However, its performance is highly sensitive to its parameters, and manual or heuristic tuning often yields suboptimal results. To overcome this…

Sound · Computer Science 2025-06-27 Maxime Leiber , Yosra Marnissi , Axel Barrau , Sylvain Meignen , Laurent Massoulié

Signal processing on graph is attracting more and more attentions. For a graph signal in the low-frequency subspace, the missing data associated with unsampled vertices can be reconstructed through the sampled data by exploiting the…

Information Theory · Computer Science 2015-06-23 Xiaohan Wang , Pengfei Liu , Yuantao Gu

We introduce a framework for subspace methods which approximate the spectra of self-adjoint, unbounded operators in a local region. Using the projection-valued measure, we derive integrated spectral inequalities that also apply to unbounded…

Numerical Analysis · Mathematics 2026-01-06 Timothy Stroschein

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

Signal Processing · Electrical Eng. & Systems 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

Time-frequency analysis, such as the Gabor transform, plays an important role in many signal processing applications. The redundancy of such representations is often directly related to the computational load of any algorithm operating in…

Classical Analysis and ODEs · Mathematics 2015-05-13 Ewa Matusiak , Tomer Michaeli , Yonina C. Eldar

We propose an adaptive non-uniform sampling framework for bandlimited signals based on an algorithm-encoder co-design perspective. By revisiting the convergence analysis of iterative reconstruction algorithms for non-uniform measurements,…

Signal Processing · Electrical Eng. & Systems 2026-01-23 Kaluguri Yashaswini , Anshu Arora , Satish Mulleti

Choosing an appropriate frequency definition and norm is critical in graph signal sampling and reconstruction. Most previous works define frequencies based on the spectral properties of the graph and use the same frequency definition and…

Signal Processing · Electrical Eng. & Systems 2024-09-17 Darukeesan Pakiyarajah , Eduardo Pavez , Antonio Ortega

A new multi-frequency synthesis algorithm for reconstructing images from multi-frequency VLBI data is proposed. The algorithm is based on a generalized maximum-entropy method, and makes it possible to derive an effective spectral correction…

Astrophysics · Physics 2011-08-31 Anisa T. Bajkova

Starting from a recent a posteriori error estimator for the finite element solution of the wave equation with explicit time-stepping [Grote, Lakkis, Santos, 2024], we devise a space-time adaptive strategy which includes both time evolving…

Numerical Analysis · Mathematics 2026-01-07 Marcus J. Grote , Omar Lakkis , Carina S. Santos

In this paper, we propose a time-frequency analysis method to obtain instantaneous frequencies and the corresponding decomposition by solving an optimization problem. In this optimization problem, the basis to decompose the signal is not…

Information Theory · Computer Science 2014-10-14 Thomas Y. Hou , Zuoqiang Shi

Most speech enhancement algorithms make use of the short-time Fourier transform (STFT), which is a simple and flexible time-frequency decomposition that estimates the short-time spectrum of a signal. However, the duration of short STFT…

Sound · Computer Science 2015-09-03 Scott Wisdom , Thomas Powers , Les Atlas , James Pitton

Recently it has been shown that the intensity time-bandwidth product of optical signals can be engineered to match that of the data acquisition instrument. In particular, it is possible to slow down an ultrafast signal, resulting in…

Optics · Physics 2015-06-22 Jacky Chan , Ata Mahjoubfar , Mohammad H. Asghari , Bahram Jalali

This paper introduces a novel technique for reconstructing the phase of modified spectrograms of audio signals. From the analysis of mixtures of sinusoids we obtain relationships between phases of successive time frames in the…

Sound · Computer Science 2016-05-25 Paul Magron , Roland Badeau , Bertrand David
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