Lecture

Signals & Systems I: Fourier Transformation and Distributions

In course

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Description

This lecture covers the classical framework for the Fourier transformation, Parseval relation, and weak convergence. It delves into the Fourier transformation in the sense of distributions, Schwartz class functions, and the properties of the generalized Fourier transformation. The instructor explains the fundamental properties, linearity, translation, and the invertibility of the Fourier transformation. Technical conditions, weak sense equality tests, and the concept of temperate distributions are also discussed.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_ocedcppx

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Ontological neighbourhood

Information engineering

Natural language processing: Topics in natural language processing

Statistics

Statistical inference: Mathematical statistics

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