Course

MICRO-311(a): Signals and systems II (for MT)

Summary

Ce cours aborde la théorie des systèmes linéaires discrets invariants par décalage (LID). Leurs propriétés et caractéristiques fondamentales y sont discutées, ainsi que les outils fondamentaux permettant de les étudier (transformée de Fourier et transformée en Z).

Lectures

Instructor

Pierre Vandergheynst

Pierre Vandergheynst received the M.S. degree in physics and the Ph.D. degree in mathematical physics from the Université catholique de Louvain, Louvain-la-Neuve, Belgium, in 1995 and 1998, respectively. From 1998 to 2001, he was a Postdoctoral Researcher with the Signal Processing Laboratory, Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland. He was Assistant Professor at EPFL (2002-2007), where he is now a Full Professor of Electrical Engineering and, by courtesy, of Computer and Communication Sciences. As of 2015, Prof. Vandergheynst serves as EPFL’s Vice-Provost for Education. His research focuses on harmonic analysis, sparse approximations and mathematical data processing in general with applications covering signal, image and high dimensional data processing, computer vision, machine learning, data science and graph-based data processing. He was co-Editor-in-Chief of Signal Processing (2002-2006), Associate Editor of the IEEE Transactions on Signal Processing (2007-2011), the flagship journal of the signal processing community and currently serves as Associate Editor of Computer Vision and Image Understanding and SIAM Imaging Sciences. He has been on the Technical Committee of various conferences, serves on the steering committee of the SPARS workshop and was co-General Chairman of the EUSIPCO 2008 conference. Pierre Vandergheynst is the author or co-author of more than 70 journal papers, one monograph and several book chapters. He has received two IEEE best paper awards. Professor Vandergheynst is a laureate of the Apple 2007 ARTS award and of the 2009-2010 De Boelpaepe prize of the Royal Academy of Sciences of Belgium.

Official source

Moodle Page

http://go.epfl.ch/MICRO-311_a

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Summary

Lectures

Instructor

Pierre Vandergheynst

Official source

Moodle Page

http://go.epfl.ch/MICRO-311_a

Lectures in this course (24)

Signals & Systems II: Sampling and Signal Representation Log in to Mediaspace to watch this video

Explores sampling, signal representation, point transformations, and signal vector spaces in the context of signals and systems.

Signals & Systems II: Vector Analogy and Discrete Signals Log in to Mediaspace to watch this video

Explores the link between DTFT, Z-transforms, and Fourier transforms, vector analogy, and discrete signals.

Signals & Systems II: Discrete Linear Systems Log in to Mediaspace to watch this video

Explores categorization of signals, linear systems, LID, convolution, and impulse response.

Signals & Systems II: Discrete Signal Spaces Log in to Mediaspace to watch this video

Explores discrete signal spaces, non-Euclidean norms, and the distinction between bounded and unrestricted signals.

Signals & Systems II: Convolution Stability and Operators Log in to Mediaspace to watch this video

Explores convolution stability, LID operators, and the Z-transform properties.

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