Publication
A Dual-Tree Rational-Dilation Complex Wavelet Transform
Publications associées (52)
Stability of the Faber-Krahn inequality for the short-time Fourier transform
We prove a sharp quantitative version of the Faber–Krahn inequality for the short-time Fourier transform (STFT). To do so, we consider a deficit which measures by how much the STFT of a function fails to be optimally concentrated on an arbitrary set of pos ...
Springer Heidelberg2024Discrete choice modeling in the era of big data
The technological advancements of the past decades have allowed transforming an increasing part of our daily actions and decisions into storable data, leading to a radical change in the scale and scope of available data in relation to virtually any object ...
EPFL2024Correlation of powers of Hüsler-Reiss vectors and Brown-Resnick fields, and application to insured wind losses
H & uuml;sler-Reiss vectors and Brown-Resnick fields are popular models in multivariate and spatial extreme-value theory, respectively, and are widely used in applications. We provide analytical formulas for the correlation between powers of the components ...
Springer2024Fully solvable finite simplex lattices with open boundaries in arbitrary dimensions
Finite simplex lattice models are used in different branches of science, e.g., in condensed-matter physics, when studying frustrated magnetic systems and non-Hermitian localization phenomena; or in chemistry, when describing experiments with mixtures. An n ...
College Pk2023Fourier Sampling in Signal Processing and Numerical Linear Algebra
This thesis focuses on developing efficient algorithmic tools for processing large datasets. In many modern data analysis tasks, the sheer volume of available datasets far outstrips our abilities to process them. This scenario commonly arises in tasks incl ...
EPFL2020Beyond Phasors: Modeling of Power System Signals Using the Hilbert Transform
Mario Paolone, Asja Derviskadic, Guglielmo Frigo
Modern power systems are at risk of largely reducing the inertia of generation assets and prone to experience extreme dynamics. The consequence is that, during electromechanical transients triggered by large contingencies, transmission of electrical power ...
2019Evaluation of time-frequency features as detectors of lack of balance due to tripping-like perturbations
Unbalancing events during gait can end up in falls and, thus, injury. Detecting events that could bring to fall and consequently activating fall prevention systems before the impact may help to mitigate related injuries. However, there is uncertainty about ...
IEEE2019A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform
Nikola Besic, Urs Martin Germann, Daniele Nerini
In this paper we present a non-stationary stochastic generator for radar rainfall fields based on the short-space Fourier transform (SSFT). The statistical properties of rainfall fields often exhibit significant spatial heterogeneity due to variability in ...
Copernicus GmbH2017Fixed Points of Generalized Approximate Message Passing with Arbitrary Matrices
The estimation of a random vector with independent components passed through a linear transform followed by a componentwise (possibly nonlinear) output map arises in a range of applications. Approximate message passing (AMP) methods, based on Gaussian appr ...
2016Stable Simulation of Nonlinearly Loaded Lossy Transmission Lines with Time Marching Approach
A stable method for the analysis of lossy transmission lines with nonlinear loads is presented. The simulation employs the time marching (TM) method for solving the convolution equations in the time domain. To cope with the late-time instability of the TM ...
Ieee2016