Publications related to Orthogonal polynomials

Spectral analysis and experimental study of lateral capillary dynamics for flip-chip applications

This article presents a study on the dynamics of lateral motion of a liquid meniscus confined by a pad and a chip moving parallel to the pad. This problem is a typical flip-chip case study, whose use is widespread in industrial assembly. The proposed model ...

2010

Liquid phase sintering of two roughened ice crystals in sucrose solution: A comparison to theory and simulation

Aitor Luque Gomez

We construct an approximate analytic expression for the growth of the neck between two sintering roughened crystals in contact with a melt. The result combines recent work on early phase sintering [R.S. Farr, M.J. Izzard, Phys. Rev. E 77 (2008) 041608], an ...

Elsevier2009

Coding along Hermite polynomials for interference channels

Emmanuel Abbé

This paper analyzes the use of non-Gaussian input distributions over the Gaussian interference channel. It has been recently proved that the iid Gaussian code ensemble together with a decoder that treats interference as noise is sum-capacity achieving, if ...

2009

Coding Along Hermite Polynomials for Gaussian Noise Channels

This paper shows that the capacity achieving input distribution for a fading Gaussian broadcast channel is not Gaussian in general. The construction of non-Gaussian distributions that strictly outperform Gaussian ones, for certain characterized fading dist ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p ≥ 2

Erik Burman, Benjamin Stamm

In this Note we prove that in one space dimension, the symmetric discontinuous Galerkin method for second order elliptic problems is stable for polynomial orders

p \ge 2

without using any stabilization parameter. The method yields optimal convergence rat ...

2007

$ H _{ 2 } $ O: Reversible Hexagonal-Orthogonal Grid Conversion by 1-D Filtering

Dimitri Nestor Alice Van De Ville

In this work, we propose a new grid conversion algorithm between the hexagonal lattice and the orthogonal (a.k.a. Cartesian) lattice. The conversion process, named

H _{ 2 }

O, is easy to implement and is perfectly reversible using the same algorithm to ...

IEEE2007

Efficient multiplication using type $2$ optimal normal bases

Mohammad Amin Shokrollahi

In this paper we propose a new structure for multiplication using optimal normal bases of type

2

. The multiplier uses an efficient linear transformation to convert the normal basis representations of elements of

F_{q^{n}}

to suitable polynomials of deg ...

2007

Field confinement with aberration correction for solid immersion lens based fluorescence correlation spectroscopy

Theo Lasser, Rainer Leitgeb, Ramachandra Rao, Jelena Mitic

The solid immersion lens (SIL) as a tool for increasing the field confinement as well as providing optimal performance by aberration compensation in a confocal fluorescence correlation spectroscopy (FCS) system is illustrated here. Using Zernike polynomial ...

2007

Structured eigenvalue condition numbers

Daniel Kressner

This paper investigates the effect of structure-preserving perturbations on the eigenvalues of linearly and nonlinearly structured eigenvalue problems. Particular attention is paid to structures that form Jordan algebras, Lie algebras, and automorphism gro ...

Society for Industrial and Applied Mathematics2006

Numerical parametric lens for shifting, magnification and complete aberration compensation in digital holographic microscopy

Christian Depeursinge, Tristan Colomb, Etienne Cuche, Frédéric Montfort, Nicolas Aspert, Pierre Marquet, Jonas Kühn, Florian Charrière, Stéphane Bourquin, Mihaela Marian

The concept of numerical parametric lenses (NPL) is introduced to achieve wavefront reconstruction in digital holography. It is shown that operations usually performed by optical components and described in ray geometrical optics, such as image shifting, m ...

2006

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Spectral analysis and experimental study of lateral capillary dynamics for flip-chip applications

Liquid phase sintering of two roughened ice crystals in sucrose solution: A comparison to theory and simulation

Coding along Hermite polynomials for interference channels

Coding Along Hermite Polynomials for Gaussian Noise Channels

The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p ≥ 2

$ H _{ 2 } $ O: Reversible Hexagonal-Orthogonal Grid Conversion by 1-D Filtering

Efficient multiplication using type $2$ optimal normal bases

Field confinement with aberration correction for solid immersion lens based fluorescence correlation spectroscopy

Structured eigenvalue condition numbers

Numerical parametric lens for shifting, magnification and complete aberration compensation in digital holographic microscopy

Coding Along Hermite Polynomials for Gaussian Noise Channels

The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p ≥ 2

Efficient multiplication using type $2$ optimal normal bases

$ H _{ 2 } $ O: Reversible Hexagonal-Orthogonal Grid Conversion by 1-D Filtering

Structured eigenvalue condition numbers

Spectral analysis and experimental study of lateral capillary dynamics for flip-chip applications

Coding along Hermite polynomials for interference channels

Liquid phase sintering of two roughened ice crystals in sucrose solution: A comparison to theory and simulation

Numerical parametric lens for shifting, magnification and complete aberration compensation in digital holographic microscopy

Field confinement with aberration correction for solid immersion lens based fluorescence correlation spectroscopy