Publications related to Sinc function

Bifurcation and decay of solutions for a class of elliptic equations on R-N

We consider a class of nonlinear eigenvalue problems including equations such as −Δu(x) + q(x)u(x) + γ u(x)2 ξ(x)2 + u(x)2 u = λu(x) for x ∈ R , where γ > 0, q ∈ L∞(RN ) and ξ ∈ L2(RN ) are given and we are interested in eigenvalues λ ∈ R for which this eq ...

American Mathematical Society, P.O. Box 6248 Ms. Phoebe Murdock, Providence, Ri 02940 Usa2011

Graph-based regularization for spherical signal interpolation

Pascal Frossard, Tamara Tosic

This paper addresses the problem of the interpolation of 2-d spherical signals from non-uniformly sampled and noisy data. We propose a graph-based regularization algorithm to improve the signal reconstructed by local interpolation methods such as nearest n ...

2010

On Sampling Lattices with Similarity Scaling Relationships

Dimitri Nestor Alice Van De Ville, Thierry Blu

We provide a method for constructing regular sampling lattices in arbitrary dimensions together with an integer dilation matrix. Subsampling using this dilation matrix leads to a similarity-transformed version of the lattice with a chosen density reduction ...

LATP2009

A Computable Fourier Condition Generating Alias-Free Sampling Lattices

Yue Lu, Minh Do

We propose a Fourier analytical condition linking alias-free sampling with the Fourier transform of the indicator function defined on the given frequency support. Our discussions center around how to develop practical computation algorithms based on the pr ...

Institute of Electrical and Electronics Engineers2009

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

Michaël Unser, Cédric René Jean Vonesch

Wavelet-domain

ℓ _{ 1 }

-regularization is a promising approach to deconvolution. The corresponding variational problem can be solved using a “thresholded Landweber” (TL) algorithm. While this iterative procedure is simple to implement, it is known to ...

IEEE2008

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Michaël Unser, Cédric René Jean Vonesch

Wavelet-domain l(1)-regularization is a promising approach to deconvolution. The corresponding variational problem can be solved using a "thresholded Landweber" (TL) algorithm. While this iterative procedure is simple to implement, it is known to converge ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Tomographic approach for parametric estimation of local diffusive sources and application to heat diffusion

Martin Vetterli, Luciano Sbaiz, Ivana Jovanovic

We consider localized instantaneous sources that reside in a 2D dif- fusive environment. Our goal is to reconstruct the induced field from the measurements obtained by distributed sensors. Although the field is non-bandlimited, we capitalize on the fact th ...

2007

Low-power and low-voltage delta-sigma analog-to-digital converters for digital radio in standard CMOS technology

Nicola Scolari

The transceivers of a wireless sensor network (WSN) have to fulfill the low-power and low-voltage constraints. The WiseNET project has already proven that it is possible to design a receiver working at 1V and consuming less than 2mW. However this transceiv ...

EPFL2007

Sampling and exact reconstruction of bandlimited signals with additive shot noise

Martin Vetterli, Pina Marziliano, Thierry Blu

In this correspondence, we consider sampling continuous-time periodic bandlimited signals which contain additive shot noise. The classical sampling scheme does not perfectly recover these particular nonbandlimited signals but only reconstructs a lowpass fi ...

IEEE2006

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

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Bifurcation and decay of solutions for a class of elliptic equations on R-N

Graph-based regularization for spherical signal interpolation

On Sampling Lattices with Similarity Scaling Relationships

A Computable Fourier Condition Generating Alias-Free Sampling Lattices

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Tomographic approach for parametric estimation of local diffusive sources and application to heat diffusion

Low-power and low-voltage delta-sigma analog-to-digital converters for digital radio in standard CMOS technology

Sampling and exact reconstruction of bandlimited signals with additive shot noise

Compression of ECG as a Signal with Finite Rate of Innovation

Bifurcation and decay of solutions for a class of elliptic equations on R-N

On Sampling Lattices with Similarity Scaling Relationships

A Computable Fourier Condition Generating Alias-Free Sampling Lattices

Graph-based regularization for spherical signal interpolation

Low-power and low-voltage delta-sigma analog-to-digital converters for digital radio in standard CMOS technology

Sampling and exact reconstruction of bandlimited signals with additive shot noise

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Compression of ECG as a Signal with Finite Rate of Innovation

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

Tomographic approach for parametric estimation of local diffusive sources and application to heat diffusion