Publications related to Bandlimiting

Sampling and Reconstruction of Bandlimited Signals with Multi-Channel Time Encoding

Martin Vetterli, Adam James Scholefield, Karen Adam

Sampling is classically performed by recording the amplitude of the input at given time instants; however, sampling and reconstructing a signal using multiple devices in parallel becomes a more difficult problem to solve when the devices have an unknown sh ...

2020

Continuous-Domain Signal Reconstruction Using L-p-Norm Regularization

Michaël Unser, Pakshal Narendra Bohra

We focus on the generalized-interpolation problem. There, one reconstructs continuous-domain signals that honor discrete data constraints. This problem is infinite-dimensional and ill-posed. We make it well-posed by imposing that the solution balances data ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

CPGD: Cadzow Plug-and-Play Gradient Descent for Generalised FRI

Martin Vetterli, Paul Hurley, Matthieu Martin Jean-André Simeoni, Adrien Georges Jean Besson

Finite rate of innovation (FRI) is a powerful reconstruction framework enabling the recovery of sparse Dirac streams from uniform low-pass filtered samples. An extension of this framework, called generalised FRI (genFRI), has been recently proposed for han ...

2020

R2D2: A Region-Based Recursive Doppler Dealiasing Algorithm for Operational Weather Radar

Alexis Berne, Marco Gabella, Monika Feldmann, Daniel Wolfensberger

Region-based Recursive Doppler Dealiasing (R2D2) is a novel dealiasing algorithm to unfold Doppler velocity fields obtained by operational radar measurements. It specializes in resolving issues when the magnitude of the gate-to-gate velocity shear approach ...

2020

Multi-channel Time Encoding for Improved Reconstruction of Bandlimited Signals

Martin Vetterli, Adam James Scholefield, Karen Adam

Traditional sampling involves encoding a signal through (time, value)-pairs. In contrast, time encoding machines (TEMs) characterize a signal by recording time points which depend on the integral of the signal over time. We study multi-channel TEMs where c ...

2019

Sampling at unknown locations: Uniqueness and reconstruction under constraints

Martin Vetterli, Benjamin Bejar Haro, Adam James Scholefield, Golnooshsadat Elhami, Michalina Wanda Pacholska

Traditional sampling results assume that the sample locations are known. Motivated by simultaneous localization and mapping (SLAM) and structure from motion (SfM), we investigate sampling at unknown locations. Without further constraints, the problem is of ...

2018

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

Compressive Multiplexing of Ultrasound Signals

Jean-Philippe Thiran, Yves Wiaux, Dimitris Perdios, Marcel Arditi, Adrien Georges Jean Besson

High-quality 3D ultrasound (US) imaging requires dense matrix-array probes with thousands of elements and necessitates an unrealistic number of coaxial cables to connect such probes to back-end systems. To address this issue, many techniques have been deve ...

IEEE2018

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Bandlimiting

Unlabeled Sensing of Multi-Input FRI Signals

Sampling and Reconstruction of Bandlimited Signals with Multi-Channel Time Encoding

Continuous-Domain Signal Reconstruction Using L-p-Norm Regularization

CPGD: Cadzow Plug-and-Play Gradient Descent for Generalised FRI

Fourier Sampling in Signal Processing and Numerical Linear Algebra

R2D2: A Region-Based Recursive Doppler Dealiasing Algorithm for Operational Weather Radar

Multi-channel Time Encoding for Improved Reconstruction of Bandlimited Signals

Sampling at unknown locations: Uniqueness and reconstruction under constraints

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

Compressive Multiplexing of Ultrasound Signals

Graph Chatbot

Chat with Graph Search

Unlabeled Sensing of Multi-Input FRI Signals

Fourier Sampling in Signal Processing and Numerical Linear Algebra

Sampling and Reconstruction of Bandlimited Signals with Multi-Channel Time Encoding

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

Sampling at unknown locations: Uniqueness and reconstruction under constraints

Continuous-Domain Signal Reconstruction Using L-p-Norm Regularization

CPGD: Cadzow Plug-and-Play Gradient Descent for Generalised FRI

R2D2: A Region-Based Recursive Doppler Dealiasing Algorithm for Operational Weather Radar

Compressive Multiplexing of Ultrasound Signals

Multi-channel Time Encoding for Improved Reconstruction of Bandlimited Signals