Publications related to Ultrawide Bandwidth Signals as Shot-Noise: a Unifying Approach

SPHARMA approximations for stationary functional time series on the sphere

In this paper, we focus on isotropic and stationary sphere-cross-time random fields. We first introduce the class of spherical functional autoregressive-moving average processes (SPHARMA), which extend in a natural way the spherical functional autoregressi ...

2021

Dynamical Coulomb Blockade as a Local Probe for Quantum Transport

Klaus Kern, Markus Etzkorn, Jacob Senkpiel

Quantum fluctuations are imprinted with valuable information about transport processes. Experimental access to this information is possible, but challenging. We introduce the dynamical Coulomb blockade (DCB) as a local probe for fluctuations in a scanning ...

2020

Gaussian and sparse processes are limits of generalized Poisson processes

Michaël Unser, Julien René Pierre Fageot, Virginie Sophie Uhlmann

The theory of sparse stochastic processes offers a broad class of statistical models to study signals, far beyond the more classical class of Gaussian processes. In this framework, signals are represented as realizations of random processes that are soluti ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2020

On Jump-Diffusive Driving Noise Sources: Some Explicit Results and Applications

Max-Olivier Hongler, Roger Filliger

We study some linear and nonlinear shot noise models where the jumps are drawn from a compound Poisson process with jump sizes following an Erlang-m distribution. We show that the associated Master equation can be written as a spatial mth order partial dif ...

Springer2019

Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Levy White Noises

Michaël Unser, Julien René Pierre Fageot

Consider a random process s that is a solution of the stochastic differential equation Ls = w with L a homogeneous operator and w a multidimensional Levy white noise. In this paper, we study the asymptotic effect of zooming in or zooming out of the process ...

SPRINGER/PLENUM PUBLISHERS2019

Periodic Splines and Gaussian Processes for the Resolution of Linear Inverse Problems

Michaël Unser, Julien René Pierre Fageot, Anaïs Laure Marie-Thérèse Badoual

This paper deals with the resolution of inverse problems in a periodic setting or, in other terms, the reconstruction of periodic continuous-domain signals from their noisy measurements. We focus on two reconstruction paradigms: variational and statistical ...

2018

Gaussian versus Sparse Stochastic Processes

Julien René Pierre Fageot

Although our work lies in the field of random processes, this thesis was originally motivated by signal processing applications, mainly the stochastic modeling of sparse signals. We develop a mathematical study of the innovation model, under which a signal ...

EPFL2017

How does one compute the noise power to simulate real and complex GNSS signals?

Cyril Botteron, Jérôme Leclère

Simulation of GNSS signals is very important to test and validate algorithms. With some algorithms, such as acquisition or tracking, we do not need to simulate a realistic constellation with actual ranges, Doppler or navigation data. We can simply simulate ...

2016

Nonuniformity Analysis of a 65-kpixel CMOS SPAD Imager

Edoardo Charbon, Claudio Bruschini, Ivan Michel Antolovic, Samuel Burri

While CMOS single-photon avalanche diode (SPAD) technology has steadily advanced, improving noise, timing resolution, and sensitivity, spatial resolution has been increasing as well. The increase in the number of pixels has made a comprehensive analysis of ...

IEEE-Inst Electrical Electronics Engineers Inc2016

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Martin Vetterli, Arash Amini, Mitra Fatemi

We present a sampling theory for a class of binary images with finite rate of innovation (FRI). Every image in our model is the restriction of

\mathds{1}_{\{p\leq0\}}

to the image plane, where

\mathds{1}

denotes the indicator function and

p

is some r ...

2016

Ultrawide Bandwidth Signals as Shot-Noise: a Unifying Approach

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SPHARMA approximations for stationary functional time series on the sphere

Dynamical Coulomb Blockade as a Local Probe for Quantum Transport

Gaussian and sparse processes are limits of generalized Poisson processes

On Jump-Diffusive Driving Noise Sources: Some Explicit Results and Applications

Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Levy White Noises

Periodic Splines and Gaussian Processes for the Resolution of Linear Inverse Problems

Gaussian versus Sparse Stochastic Processes

How does one compute the noise power to simulate real and complex GNSS signals?

Nonuniformity Analysis of a 65-kpixel CMOS SPAD Imager

Sampling and Reconstruction of Shapes with Algebraic Boundaries

SPHARMA approximations for stationary functional time series on the sphere

Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Levy White Noises

How does one compute the noise power to simulate real and complex GNSS signals?

On Jump-Diffusive Driving Noise Sources: Some Explicit Results and Applications

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Nonuniformity Analysis of a 65-kpixel CMOS SPAD Imager

Gaussian versus Sparse Stochastic Processes

Gaussian and sparse processes are limits of generalized Poisson processes

Periodic Splines and Gaussian Processes for the Resolution of Linear Inverse Problems

Dynamical Coulomb Blockade as a Local Probe for Quantum Transport