Publications related to Sampling—50 Years After Shannon

Sampling and reconstructing diffusion fields in presence of aliasing

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

On the Bandwidth of the Plenoptic Function

Martin Vetterli, Minh Do, Davy Marchand-Maillet

The plenoptic function (POF) provides a powerful conceptual tool for describing a number of problems in image/video processing, vision, and graphics. For example, image based-rendering can be seen as sampling and interpolation of the POF. In such applicati ...

Institute of Electrical and Electronics Engineers2012

On Sampling and Coding for Distributed Acoustic Sensing

Martin Vetterli, Emre Telatar, Robert Konsbruck

The issue of how to efficiently represent the data collected by a network of microphones recording spatio-temporal acoustic wave fields is addressed. Each sensor node in the network samples the sound field, quantizes the samples and transmits the encoded s ...

2012

Is Uniqueness Lost for Under-Sampled Continuous-Time Auto-Regressive Processes?

Michaël Unser, John Paul Ward, Hagay Kirshner

We consider the problem of sampling continuous-time auto-regressive processes on a uniform grid. We investigate whether a given sampled process originates from a single continuous-time model, and address this uniqueness problem by introducing an alternativ ...

IEEE2012

Clock Jitter Compensation in High-Rate ADC Circuits

Ali H. Sayed

Clock timing jitter refers to random perturbations in the sampling time in analog-to-digital converters (ADCs). The perturbations are caused by circuit imperfections in the sampling clock. This paper analyzes the effect of sampling clock jitter on the acqu ...

IEEE2012

Transfer Kinetics of Polar Organic Compounds over Polyethersulfone Membranes in the Passive Samplers Pocis and Chemcatcher

Juliane Hollender

Passive samplers for polar organic compounds often use a polyethersulfone (PES) membrane to retain the particulate sorbent material (e.g., in a POCIS; polar organic chemical integrative sampler) or to reduce the sampling rate and thus extend the kinetic re ...

2012

Sampling Trajectories for Mobile Sensing

Martin Vetterli, Jayakrishnan Unnikrishnan

Classical sampling theory for sampling and reconstructing bandlimited fields in

\Re^d

addresses the problem of sampling on lattice points. We consider a generalization of this problem, in which one samples the field along

1

-dimensional spatial trajecto ...

2011

Optimally Localized Wavelets and Smoothing Kernels

Kunal Narayan Chaudhury

It is well-known that the Gaussian functions and, more generally, their modulations-translations (the Gabor functions) have the unique property of being optimally localized in space and frequency in the sense of Heisenberg's uncertainty principle. In this ...

EPFL2011

Implications for compressed sensing of a new sampling theorem on the sphere

Jean-Philippe Thiran, Pierre Vandergheynst, Dimitri Nestor Alice Van De Ville, Yves Wiaux, Gilles Puy, Jason Douglas McEwen

A sampling theorem on the sphere has been developed recently, requiring half as many samples as alternative equiangular sampling theorems on the sphere. A reduction by a factor of two in the number of samples required to represent a band-limited signal on ...

2011

Sampling theorems and compressive sensing on the sphere

Jean-Philippe Thiran, Pierre Vandergheynst, Dimitri Nestor Alice Van De Ville, Yves Wiaux, Gilles Puy, Jason Douglas McEwen

We discuss a novel sampling theorem on the sphere developed by McEwen & Wiaux recently through an association between the sphere and the torus. To represent a band-limited signal exactly, this new sampling theorem requires less than half the number of samp ...

Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2011

Sampling—50 Years After Shannon

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Sampling and reconstructing diffusion fields in presence of aliasing

On the Bandwidth of the Plenoptic Function

On Sampling and Coding for Distributed Acoustic Sensing

Is Uniqueness Lost for Under-Sampled Continuous-Time Auto-Regressive Processes?

Clock Jitter Compensation in High-Rate ADC Circuits

Transfer Kinetics of Polar Organic Compounds over Polyethersulfone Membranes in the Passive Samplers Pocis and Chemcatcher

Sampling Trajectories for Mobile Sensing

Optimally Localized Wavelets and Smoothing Kernels

Implications for compressed sensing of a new sampling theorem on the sphere

Sampling theorems and compressive sensing on the sphere

Sampling Trajectories for Mobile Sensing

On the Bandwidth of the Plenoptic Function

Sampling and reconstructing diffusion fields in presence of aliasing

On Sampling and Coding for Distributed Acoustic Sensing

Transfer Kinetics of Polar Organic Compounds over Polyethersulfone Membranes in the Passive Samplers Pocis and Chemcatcher

Optimally Localized Wavelets and Smoothing Kernels

Is Uniqueness Lost for Under-Sampled Continuous-Time Auto-Regressive Processes?

Implications for compressed sensing of a new sampling theorem on the sphere

Clock Jitter Compensation in High-Rate ADC Circuits

Sampling theorems and compressive sensing on the sphere