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Séance de cours

Fondements du traitement des signaux

Dans cours

EE-406: Fundamentals of electrical circuits and systems I

This course gives you an introduction to signal processing, focusing on the Fourier transform, on signal sampling and reconstruction and the Discrete Fourier transform. ...

Description

Cette séance de cours couvre les bases des circuits et systèmes électriques, en se concentrant sur le traitement du signal et les circuits électriques. Les sujets abordés incluent la typologie des signaux, la transformée de Fourier, les méthodes d'analyse des circuits, les lois de Kirchhoff et les phaseurs. Le cours se penche également sur l'analyse et la synthèse des signaux déterministes, des séries de Fourier et de la transformée de Fourier discrète. Les applications pratiques du traitement du signal dans divers domaines sont discutées, tels que l'électronique grand public, l'imagerie médicale et l'astronomie. Le cours est structuré avec des documents pré-enregistrés, des séance de courss en direct, des exercices et des sessions de laboratoire, aboutissant à un examen final pendant la session d'hiver.

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Enseignant·e

Jean-Philippe Thiran

Jean-Philippe Thiran was born in Namur, Belgium, in August 1970. He received the Electrical Engineering degree and the PhD degree from the Université catholique de Louvain (UCL), Louvain-la-Neuve, Belgium, in 1993 and 1997, respectively. From 1993 to 1997, he was the co-ordinator of the medical image analysis group of the Communications and Remote Sensing Laboratory at UCL, mainly working on medical image analysis. Dr Jean-Philippe Thiran joined the Signal Processing Institute (ITS) of the Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland, in February 1998 as a senior lecturer. He was promoted to Assistant Professor in 2004, to Associate Professor in 2011 and is now a Full Professor since 2020. He also holds a 20% position at the Department of Radiology of the University of Lausanne (UNIL) and of the Lausanne University Hospital (CHUV) as Associate Professor ad personam. Dr Thiran's current scientific interests include Computational medical imaging: acquisition, reconstruction and analysis of imaging data, with emphasis on regularized linear inverse problems (compressed sensing, convex optimization). Applications to medical imaging: diffusion MRI, ultrasound imaging, inverse planning in radiotherapy, etc.Computer vision & machine learning: image and video analysis, with application to facial expression recognition, eye tracking, lip reading, industrial inspection, medical image analysis, etc.

Source officielle

Proximité ontologique

Physique

Électromagnétisme: Circuit électrique

Concepts associés (32)

Network analysis (electrical circuits)

In electrical engineering and electronics, a network is a collection of interconnected components. Network analysis is the process of finding the voltages across, and the currents through, all network components. There are many techniques for calculating these values; however, for the most part, the techniques assume linear components. Except where stated, the methods described in this article are applicable only to linear network analysis.

Equivalent circuit

In electrical engineering, an equivalent circuit refers to a theoretical circuit that retains all of the electrical characteristics of a given circuit. Often, an equivalent circuit is sought that simplifies calculation, and more broadly, that is a simplest form of a more complex circuit in order to aid analysis. In its most common form, an equivalent circuit is made up of linear, passive elements. However, more complex equivalent circuits are used that approximate the nonlinear behavior of the original circuit as well.

Discrete-time Fourier transform

In mathematics, the discrete-time Fourier transform (DTFT), also called the finite Fourier transform, is a form of Fourier analysis that is applicable to a sequence of values. The DTFT is often used to analyze samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data, often samples whose interval has units of time. From uniformly spaced samples it produces a function of frequency that is a periodic summation of the continuous Fourier transform of the original continuous function.

Non-uniform discrete Fourier transform

In applied mathematics, the nonuniform discrete Fourier transform (NUDFT or NDFT) of a signal is a type of Fourier transform, related to a discrete Fourier transform or discrete-time Fourier transform, but in which the input signal is not sampled at equally spaced points or frequencies (or both). It is a generalization of the shifted DFT. It has important applications in signal processing, magnetic resonance imaging, and the numerical solution of partial differential equations.

Fourier analysis

In mathematics, Fourier analysis (ˈfʊrieɪ,_-iər) is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer. The subject of Fourier analysis encompasses a vast spectrum of mathematics.

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Séances de cours associées (29)

Analyse des circuits électriques

Couvre l'analyse des circuits électriques, en se concentrant sur les résistances et leurs combinaisons.

Analyse de Fourier: Série Fourier et Transformer

Explore les séries Fourier, DFT, FFT, et leurs applications dans le traitement des signaux et la spectroscopie.

Les fondamentaux du circuit : les lois de Kirchhoff

Couvre les bases des circuits électriques et les lois de Kirchhoff pour l'analyse des circuits.

Fondements du traitement des signaux Connectez-vous à Mediaspace pour regarder cette vidéo

Couvre les bases du traitement du signal et des circuits électriques.

Circuits et systèmes électriques Fondements Connectez-vous à Mediaspace pour regarder cette vidéo

Introduit les fondamentaux des circuits et systèmes électriques, couvrant le traitement des signaux, la transformation de Fourier et les méthodes d'analyse des circuits.

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Concepts associés (32)

Network analysis (electrical circuits)

Equivalent circuit

Discrete-time Fourier transform

Non-uniform discrete Fourier transform

Fourier analysis

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