Fourier Transforms in Tomography: Inversion Techniques

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Introduction to Signals and Systems: Course Overview

Introduces the EPFL course on Signals and Systems, covering course structure, evaluation, and key engineering concepts.

Fundamentals of Electromagnetic Waves and Their Properties

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Fourier Transform: Properties and Convolution

Covers the properties and convolution of the Fourier transform.

Fourier Transform: Motivating Formula

Covers the motivation behind the Fourier transform formula, explaining the process step by step.

Sampling and Reconstruction Theory

Covers the concepts of analog, discrete, and digital signals, sampling times, frequencies, and pulses.

Fourier Transform: Basics and Examples

Explains the basics of Fourier transform and demonstrates its application through examples, including periodic functions and Fourier Transform Pairs.

Signals, Instruments, and Systems: System Properties and Transforms

Introduces system properties, Laplace Transform, and analog filters for signal analysis.

Properties of Fourier Transform

Explores the properties and applications of the Fourier transform in signal processing and mathematics.

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Psychoacoustics and Signal Processing

Explores psychoacoustics, signal processing, and the brain's interpretation of sound frequencies, covering topics like the Missing Fundamental phenomenon and the inner workings of the cochlea.