Publications related to Nyquist–Shannon sampling theorem

Zero-crossing approach to high-resolution reconstruction in frequency-domain optical-coherence tomography

Theo Lasser, Marcel Leutenegger, Arno Pino Bouwens, Chandra Sekhar Seelamantula

We address the problem of high-resolution reconstruction in frequency-domain optical-coherence tomography (FDOCT). The traditional method employed uses the inverse discrete Fourier transform, which is limited in resolution due to the Heisenberg uncertainty ...

2012

Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales

Assyr Abdulle

An analysis of a multiscale symmetric interior penalty discontinuous Galerkin finite element method for the numerical discretization of elliptic problems with multiple scales is proposed. This new method, first described in [A. Abdulle, C.R. Acad. Sci. Par ...

2012

Electrophysiological imaging of epileptic brain slices reveals pharmacologically confined functional changes

Diego Ghezzi

Microelectrode arrays (MEAs) are employed to study extracellular electrical activity in neuronal tissues. Neverthe- less, commercially available MEAs provide a limited number of recording sites and do not allow a precise identifi- cation of the spatio-temp ...

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

A novel sampling theorem on the sphere

Yves Wiaux, Jason Douglas McEwen

We develop a novel sampling theorem on the sphere and corresponding fast algorithms by associating the sphere with the torus through a periodic extension. The fundamental property of any sampling theorem is the number of samples required to represent a ban ...

Institute of Electrical and Electronics Engineers2011

Random Sampling ADC for Sparse Spectrum Sensing

Andreas Peter Burg

Scanning large bandwidths (spectrum sensing) pushes today’s analog hardware to its limits since periodic sampling at Nyquist rate with sufficient resolution is often prohibitively complex. In this paper, we consider a scenario where the signal to be acquir ...

2011

Methods and apparatus for estimating a sparse channel

Martin Vetterli, Ali Hormati, Yann Barbotin

Embodiments include a method for sending a selected number of pilots (20) to a sparse channel having a channel impulse response limited in time comprising sending the selected number of the pilots (20). The pilots (20) are equally spaced in the frequency d ...

USPTO2011

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

Diffractionless Fourier Domain Microscopy

Theo Lasser, Rainer Leitgeb, Cédric Blatter, Tilman Schmoll

Several methods have been proposed and realized to increase the lateral resolution in microscopy and ultimately to beat the actual diffraction limit as stated by Abbe. Structured illumination for example enhances the lateral resolution by virtually extendi ...

2011

A speckle-based CMOS sensor array for arbitrary surface movement detection

Pierre-André Farine, Chao Wang, Steve Tanner

The paper presents a CMOS sensor array for the detection of speckle movements, for applications requiring accurate movement tracking of arbitrary surfaces. The array is made of eight sensors incorporating each a spatial comb filter with a pitch of 2.8μm so ...

SPIE Society2011

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Zero-crossing approach to high-resolution reconstruction in frequency-domain optical-coherence tomography

Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales

Electrophysiological imaging of epileptic brain slices reveals pharmacologically confined functional changes

Sampling Trajectories for Mobile Sensing

A novel sampling theorem on the sphere

Random Sampling ADC for Sparse Spectrum Sensing

Methods and apparatus for estimating a sparse channel

Sampling theorems and compressive sensing on the sphere

Diffractionless Fourier Domain Microscopy

A speckle-based CMOS sensor array for arbitrary surface movement detection

Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales

Zero-crossing approach to high-resolution reconstruction in frequency-domain optical-coherence tomography

Sampling Trajectories for Mobile Sensing

Random Sampling ADC for Sparse Spectrum Sensing

A speckle-based CMOS sensor array for arbitrary surface movement detection

Diffractionless Fourier Domain Microscopy

A novel sampling theorem on the sphere

Electrophysiological imaging of epileptic brain slices reveals pharmacologically confined functional changes

Methods and apparatus for estimating a sparse channel

Sampling theorems and compressive sensing on the sphere