Publications related to Applications of short space-time Fourier analysis in digital acoustics

Models of crowding: a comparative study

Michael Herzog, Gregory Francis, Adrien Christophe Doerig, Aaron Michael Clarke

In crowding, the perception of an object deteriorates in the presence of nearby elements. Obviously, crowding is a ubiquitous phenomenon, since elements are rarely seen in isolation. Despite this ubiquity, there exists no consensus on how to model crowding ...

2016

A sparse reconstruction framework for Fourier-based plane wave imaging

Jean-Philippe Thiran, Yves Wiaux, Rafael Eduardo Carrillo Rangel, Adrien Georges Jean Besson, Olivier Bernard

Ultrafast imaging based on plane-wave (PW) insonification is an active area of research due to its capability of reaching high frame rates. Among PW imaging methods, Fourier-based approaches have demonstrated to be competitive compared to traditional delay ...

Ieee-Inst Electrical Electronics Engineers Inc2016

Undecidability through Fourier series

In computability theory a variety of combinatorial systems are encountered (word problems, production systems) that exhibit undecidability properties. Here we seek such structures in the realm of Analysis, more specifically in the area of Fourier Analysis. ...

Elsevier Science Bv2016

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

Victor Panaretos, Shahin Tavakoli

Motivated by the problem of inferring the molecular dynamics of DNA in solution, and linking them with its base-pair composition, we consider the problem of comparing the dynamics of functional time series (FTS), and of localizing any inferred differences ...

American Statistical Association2016

A Spectral Method for Generating Surrogate Graph Signals

Dimitri Nestor Alice Van De Ville, Elvira Pirondini, Martina Coscia, Anna Vybornova

The increasing availability of network data is leading to a growing interest in processing of signals on graphs. One notable tool for extending conventional signal-processing operations to networks is the graph Fourier transform that can be obtained as the ...

Institute of Electrical and Electronics Engineers2016

Learning-Based Compressive Subsampling

Volkan Cevher, Jonathan Mark Scarlett, Ilija Bogunovic, Yen-Huan Li, Luca Baldassarre, Baran Gözcü

The problem of recovering a structured signal

\mathbf{x} \in \mathbb{C}^p

from a set of dimensionality-reduced linear measurements

\mathbf{b} = \mathbf {A}\mathbf {x}

arises in a variety of applications, such as medical imaging, spectroscopy, Fourier o ...

Ieee-Inst Electrical Electronics Engineers Inc2016

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Matthieu Martin Jean-André Simeoni

The Square Kilometre Array (SKA) will form the largest radio telescope ever built, generating on the order of one terabyte of data per second. To reduce the data flow sent to the central processor, hierarchical designs have been proposed: the data is prima ...

2015

Divergence-Free Wavelet Frames

Michaël Unser, Emrah Bostan, John Paul Ward

We propose an efficient construction of wavelet frames in any number of dimensions that are divergence-free. Our approach is based on applying the Leray projector, which is scale-invariant, to a standard wavelet frame. We prove that the projected wavelets ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Sub-Nyquist artifacts and sampling moiré effects, Part 2: Spectral-domain analysis

Isaac Amidror

Sampling moiré effects occur due to aliasing (foldover) when a continuous periodic signal g(x) is sampled using a sampling frequency that does not respect the Nyquist condition. However, visible beating artifacts may also occur when g(x) is sampled using s ...

2015

Design of Steerable Wavelets to Detect Multifold Junctions

Michaël Unser, Zsuzsanna Püspöki, Cédric René Jean Vonesch, Virginie Sophie Uhlmann

We propose a framework for the detection of junctions in images. Although the detection of edges and key points is a well examined and described area, the multiscale detection of junction centers, especially for odd orders, poses a challenge in pattern ana ...

IEEE2015

Applications of short space-time Fourier analysis in digital acoustics

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Models of crowding: a comparative study

A sparse reconstruction framework for Fourier-based plane wave imaging

Undecidability through Fourier series

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

A Spectral Method for Generating Surrogate Graph Signals

Learning-Based Compressive Subsampling

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Divergence-Free Wavelet Frames

Sub-Nyquist artifacts and sampling moiré effects, Part 2: Spectral-domain analysis

Design of Steerable Wavelets to Detect Multifold Junctions

Sub-Nyquist artifacts and sampling moiré effects, Part 2: Spectral-domain analysis

Undecidability through Fourier series

Learning-Based Compressive Subsampling

A Spectral Method for Generating Surrogate Graph Signals

Divergence-Free Wavelet Frames

A sparse reconstruction framework for Fourier-based plane wave imaging

Models of crowding: a comparative study

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

Design of Steerable Wavelets to Detect Multifold Junctions

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging