Concept

Convergence of Fourier series

Related publications (35)

An Effective Approach for High-Frequency Electromagnetic Field-to-Line Coupling Analysis Based on Regularization Techniques

An effective method based on the regularization technique to solve the problem of the high-frequency electromagnetic field coupling to an overhead transmission line is presented. The integral-differential equation describing the field-induced current into ...

Ieee-Inst Electrical Electronics Engineers Inc2012

On-line frequency adaptation and movement imitation for rhythmic robotic tasks

Auke Ijspeert, Tadej Petric

In this paper we present a novel method to obtain the basic frequency of an unknown periodic signal with an arbitrary waveform, which can work online with no additional signal processing or logical operations. The method originates from non-linear dynamica ...

2011

Fast O(1) Bilateral Filtering Using Trigonometric Range Kernels

Michaël Unser, Daniel Sage, Kunal Narayan Chaudhury

It is well known that spatial averaging can be realized (in space or frequency domain) using algorithms whose complexity does not scale with the size or shape of the filter. These fast algorithms are generally referred to as constant-time or O(1) algorithm ...

IEEE2011

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

Optimization design of a segmented Halbach permanent magnet motor using an analytical model

Yves Perriard, Miroslav Markovic

We present an optimization design of a slotless permanent-magnet brushless dc motor (400 W, 6000 rpm), with two-segment Halbach arrays. The optimization is based on a motor analytical model which is obtained by solving the magnetic scalar potential using t ...

2009

Turbulence in basic toroidal plasmas

Stefan Müller

This thesis work contributes to the improvement of the experimental assessment of turbulence in fusion-relevant toroidal plasmas via the construction and dedicated exploitation of the TORPEX basic toroidal plasma experiment. Several contributions to the co ...

EPFL2007

Data-Driven Estimation of the Infinity Norm of a Dynamical System

Dominique Bonvin, Alireza Karimi, Klaske van Heusden

The estimation of a system’s infinity norm using one set of measured input and output data is investigated. It is known that, if the data set is noise free, this problem can be solved using convex optimization. In the presence of noise, convergence of this ...

2007

An Efficient Discretization of the Navier–Stokes Equations in an Axisymmetric Domain. Part 1: The Discrete Problem and its Numerical Analysis

Simone Deparis

Any solution of the Navier–Stokes equations in a three-dimensional axisymmetric domain admits a Fourier expansion with respect to the angular variable, and it can be noted that each Fourier coefficient satisfies a variational problem on the meridian domain ...

2006

A truncated Fourier/finite element discretization of the Stokes equations in an axisymmetric domain

Simone Deparis

We consider the Stokes problem in a three-dimensional axisymmetric domain and, by writing the Fourier expansion of its solution with respect to the angular variable, we observe that each Fourier coefficient satisfies a system of equations on the meridian d ...

2006

Control of the frequency spectrum with the help of open loop and closed loop algorithms in active filters

Alfred Rufer

This paper proposes two frequency based methods for parallel active filtering of current harmonics in utility grids. Active Filter (AF) reference prediction and AF current control are the two key-points to obtain high performances. This paper deals with th ...

2002

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