Publications related to Nyquist–Shannon sampling theorem

Discontinuous Galerkin finite element heterogeneous multiscale method for advection-diffusion problems with multiple scales

A discontinuous Galerkin finite element heterogeneous multiscale method is proposed for advectiondiffusion problems with highly oscillatory coefficients. The method is based on a coupling of a discontinuous Galerkin discretization for an effective advectio ...

Springer Verlag2014

On Optimal Sampling Trajectories for Mobile Sensing

Martin Vetterli, Jayakrishnan Unnikrishnan

We study the design of sampling trajectories for stable sampling and reconstruction of bandlimited spatial fields using mobile sensors. As a performance metric we use the path density of a set of sampling trajectories, defined as the total distance travele ...

2013

Design of a parallel low power flash A/D converter for the sub-sampling IR-UWB receiver

Catherine Dehollain, Shenjie Wang

This paper presents the design of a dual-channel 4-bit analog-to-digital converter (ADC) for the sub-sampling impulse radio ultra-wideband receiver with the sampling rate of 2.112 GS/s. The ADC's specifications are optimized at the system level. Two parall ...

Springer Verlag2013

Compressed Optical Imaging

Aurélien Bourquard

We address the resolution of inverse problems where visual data must be recovered from incomplete information optically acquired in the spatial domain. The optical acquisition models that are involved share a common mathematical structure consisting of a l ...

EPFL2013

Sampling and Reconstruction of Spatial Fields using Mobile Sensors

Martin Vetterli, Jayakrishnan Unnikrishnan

Spatial sampling is traditionally studied in a static setting where static sensors scattered around space take measurements of the spatial field at their locations. In this paper we study the emerging paradigm of sampling and reconstructing spatial fields ...

Institute of Electrical and Electronics Engineers2013

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Martin Vetterli, Jayakrishnan Unnikrishnan

Consider the task of sampling and reconstructing a bandlimited spatial field in

\Re^2

using moving sensors that take measurements along their path. It is inexpensive to increase the sampling rate along the paths of the sensors but more expensive to incre ...

Institute of Electrical and Electronics Engineers2013

Compressive Source Separation: Theory and Methods for Hyperspectral Imaging

Pierre Vandergheynst, Mohammad Golbabaee

With the development of numbers of high resolution data acquisition systems and the global requirement to lower the energy consumption, the development of efficient sensing techniques becomes critical. Recently, Compressed Sampling (CS) techniques, which e ...

Institute of Electrical and Electronics Engineers2013

An Ultra-Low-Power Application-Specific Processor with Sub-VT Memories for Compressed Sensing

David Atienza Alonso, Andreas Peter Burg, Pascal Andreas Meinerzhagen, Jeremy Hugues-Felix Constantin, Ahmed Yasir Dogan, Oskar Andersson

Compressed sensing (CS) is a universal low-complexity data compression technique for signals that have a sparse representation in some domain. While CS data compression can be done both in the analog- and digital domain, digital implementations are often u ...

Springer2013

Sampling and reconstructing diffusion fields in presence of aliasing

Martin Vetterli, Juri Ranieri

The reconstruction of a diffusion field, such as temperature, from samples collected by a sensor network is a classical inverse problem and it is known to be ill-conditioned. Previous work considered source models, such as sparse sources, to regularize the ...

2013

Multichannel ECG Analysis Using VPW-FRI

Pina Marziliano, Gilles Baechler

In this paper, we present an application of Variable Pulse Width Finite Rate of Innovation (VPW-FRI) in dealing with multichannel Electrocardiogram (ECG) data using a common annihilator. By extending the conventional FRI model to include additional paramet ...

2013

Nyquist–Shannon sampling theorem

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Discontinuous Galerkin finite element heterogeneous multiscale method for advection-diffusion problems with multiple scales

On Optimal Sampling Trajectories for Mobile Sensing

Design of a parallel low power flash A/D converter for the sub-sampling IR-UWB receiver

Compressed Optical Imaging

Sampling and Reconstruction of Spatial Fields using Mobile Sensors

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Compressive Source Separation: Theory and Methods for Hyperspectral Imaging

An Ultra-Low-Power Application-Specific Processor with Sub-VT Memories for Compressed Sensing

Sampling and reconstructing diffusion fields in presence of aliasing

Multichannel ECG Analysis Using VPW-FRI

Sampling and reconstructing diffusion fields in presence of aliasing

On Optimal Sampling Trajectories for Mobile Sensing

Sampling and Reconstruction of Spatial Fields using Mobile Sensors

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Discontinuous Galerkin finite element heterogeneous multiscale method for advection-diffusion problems with multiple scales

Compressive Source Separation: Theory and Methods for Hyperspectral Imaging

Compressed Optical Imaging

Design of a parallel low power flash A/D converter for the sub-sampling IR-UWB receiver

An Ultra-Low-Power Application-Specific Processor with Sub-VT Memories for Compressed Sensing

Multichannel ECG Analysis Using VPW-FRI