Concept

Nyquist–Shannon sampling theorem

Related publications (268)

On Interpolation and Resampling of Discrete Data

This letter introduces a new representation of discrete signals based on the mathematical notions of functionals and continuous dual spaces. A new and more general sampling theorem is also suggested. Next, the problems of interpolating and resampling discr ...

IEEE2006

Non-Ideal Sampling and Adapted Reconstruction Using the Stochastic Matérn Model

Michaël Unser, Dimitri Nestor Alice Van De Ville, Sathish Ramani

The Matérn class is a parametric family of autocorrelation functions that is commonly used in geostatistics. We argue that a generalized, anisotropic version of this model is suitable for capturing the correlation structure of a variety of natural images. ...

IEEE2006

The plenacoustic function and its applications

Thibaut Ajdler

This thesis is a study of the spatial evolution of the sound field. We first present an analysis of the sound field along different geometries. In the case of the sound field studied along a line in a room, we describe a two-dimensional function characteri ...

EPFL2006

First results of correlation electron cyclotron emission on Tore Supra

Measurements of electron temperature fluctuations by means of correlation electron cyclotron emission (ECE) diagnostics aid in understanding the nature of the turbulent transport infusion plasmas. On Tore Supra tokamak, a 32-channel heterodyne ECE radiomet ...

2006

Sampling in Practice: Is the Best Reconstruction Space Bandlimited?

Michaël Unser, Dimitri Nestor Alice Van De Ville, Sathish Ramani

Shannon's sampling theory and its variants provide effective solutions to the problem of reconstructing a signal from its samples in some “shift-invariant” space, which may or may not be bandlimited. In this paper, we present some further justification for ...

IEEE2005

Compression of ECG as a Signal with Finite Rate of Innovation

Martin Vetterli, Thierry Blu, Yan Hao

Compression of ECG (electrocardiogram) as a signal with finite rate of innovation (FRI) is proposed in this paper. By modelling the ECG signal as the sum of bandlimited and nonuniform linear spline which contains finite rate of innovation (FRI), sampling t ...

IEEE2005

Power spectra of random spike fields and related processes

Andrea Ridolfi, Pierre Bremaud

This article reviews known results and contains new ones concerning the power spectra of large classes of signals and random fields driven by an underlying point process, such as spatial shot noises (with random impulse response and arbitrary basic station ...

2005

Force Spectroscopy with a Novel Small Focus AFM

Jürgen Brugger, Johannes Steen

Atomic force microscopy has become potent tool for investigating interand intramolecular interactions. Single molecule force spectroscopy on supramolecular guest-host-complexes reveal information about the depth of the binding pocket and thermal off-rates. ...

2005

Ultrawide Bandwidth Signals as Shot-Noise: a Unifying Approach

Andrea Ridolfi

This paper presents general methods for obtaining power spectra of a large class of signals and random fields driven by an underlying point processes, in particular spatial shot noises with random impulse response and arbitrary basic stationary point proce ...

2005

Piecewise uniform switched vector quantization of the memoryless two-dimensional Laplace source

Ivana Tosic

A simple and complete asymptotical analysis of an optimal piecewise uniform quantization of two-dimensional memoryless Laplacian source with the respect to distortion (D) i.e. the mean-square error (MSE) is presented. Piecewise uniform quantization consist ...

2004

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