Publications related to Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Topology of synaptic connectivity constrains neuronal stimulus representation, predicting two complementary coding strategies

Michael Reimann, Christoph Pokorny, Ran Levi

In motor-related brain regions, movement intention has been successfully decoded from invivo spike train by isolating a lower-dimension manifold that the high-dimensional spiking activity is constrained to. The mechanism enforcing this constraint remains u ...

PUBLIC LIBRARY SCIENCE2022

Uncertain Sampling with Certain Priors

Golnooshsadat Elhami

Sampling has always been at the heart of signal processing providing a bridge between the analogue world and discrete representations of it, as our ability to process data in continuous space is quite limited. Furthermore, sampling plays a key part in unde ...

EPFL2021

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

Gyrokinetic full-f particle-in-cell simulations on open field lines with PICLS

Emmanuel Lanti, Alberto Bottino, Noé Thomas Elie Ohana

While in recent years gyrokinetic simulations have become the workhorse for theoretical turbulence and transport studies in the plasma core, their application to the edge and scrape-off layer (SOL) region presents significant challenges. In particular, ste ...

2019

Sampling and Exact Reconstruction of Pulses with Variable Width

Martin Vetterli, Adam James Scholefield, Loïc Arnaud Baboulaz, Gilles Baechler

Recent sampling results enable the reconstruction of signals composed of streams of fixed-shaped pulses. These results have found applications in topics as varied as channel estimation, biomedical imaging and radio astronomy. However, in many real signals, ...

Institute of Electrical and Electronics Engineers2017

Sampling at unknown locations, with an application in surface retrieval

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

We consider the problem of sampling at unknown locations. We prove that, in this setting, if we take arbitrarily many samples of a polynomial or real bandlimited signal, it is possible to find another function in the same class, arbitrarily far away from t ...

2017

Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

Matthieu Martin Jean-André Simeoni

Estimating intensity fields of stochastic phenomenons is of crucial interest in many scientific applications. Typical experimental setups involve an acquisition system, that subsequently filters and samples the probed intensity field. This equivalently def ...

2016

Sampling Sparse Signals on the Sphere: Algorithms and Applications

Yue Lu, Ivan Dokmanic

We propose a sampling scheme that can perfectly reconstruct a collection of spikes on the sphere from samples of their lowpass-filtered observations. Central to our algorithm is a generalization of the annihilating filter method, a tool widely used in arra ...

Institute of Electrical and Electronics Engineers2016

Random sampling of bandlimited signals on graphs

Pierre Vandergheynst, Rémi Gribonval, Gilles Puy, Nicolas Tremblay

We study the problem of sampling

k

-bandlimited signals on graphs. We propose two sampling strategies that consist in selecting a small subset of nodes at random. The first strategy is non-adaptive, \ie, independent of the graph structure, and its perform ...

2015

Sampling 2-D Signals on a Union of Lattices that Intersect on a Lattice

Jayakrishnan Unnikrishnan

This paper presents new sufficient conditions under which a field (or image) can be perfectly reconstructed from its samples on a union of two lattices that share a common coarse lattice. In particular, if samples taken on the first lattice can be used to ...

Ieee2014

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

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Topology of synaptic connectivity constrains neuronal stimulus representation, predicting two complementary coding strategies

Uncertain Sampling with Certain Priors

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

Gyrokinetic full-f particle-in-cell simulations on open field lines with PICLS

Sampling and Exact Reconstruction of Pulses with Variable Width

Sampling at unknown locations, with an application in surface retrieval

Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

Sampling Sparse Signals on the Sphere: Algorithms and Applications

Random sampling of bandlimited signals on graphs

Sampling 2-D Signals on a Union of Lattices that Intersect on a Lattice

Topology of synaptic connectivity constrains neuronal stimulus representation, predicting two complementary coding strategies

Sampling 2-D Signals on a Union of Lattices that Intersect on a Lattice

Uncertain Sampling with Certain Priors

Gyrokinetic full-f particle-in-cell simulations on open field lines with PICLS

Sampling at unknown locations, with an application in surface retrieval

Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

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

Random sampling of bandlimited signals on graphs

Sampling and Exact Reconstruction of Pulses with Variable Width

Sampling Sparse Signals on the Sphere: Algorithms and Applications