Course unit

Mathematics and Signal Processing

Last updated: 26/09/2022

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Course Director(s):

MOREAU David

General Description:

Mathematics of signals: introduction to signal analysis tools and examination of mathematical methods of signal representation and analysis. Different tools of signal processing are presented to serve as a basis for courses on automation and sampled systems.

Signal processing: acquisition of the basics of digital signal processing (sampling, DFT, FFT, TFF, CWT)

Key words:

Number of teaching hours

33

Fields of study

Teaching language

French

Intended learning outcomes

On completion of the unit, the student will be capable of: Classification level Priority
Mastering signal analysis tools 2. Understand Important
Mastering signal analysis tools 4. Analyse Important
Digital signal processing 2. Understand Important
Digital signal processing 3. Apply Important
Digital signal processing 7. Create Important

Learning assessment methods

Percentage ratio of individual assessment Percentage ratio of group assessment
Written exam: 100 % Project submission: %
Individual oral exam: % Group presentation: %
Individual presentation: % Group practical exercise: %
Individual practical exercise: % Group report: %
Individual report: %
Other(s): %

Programme and content

Type of teaching activity Content, sequencing and organisation
Course

Introduction, Distributions, Convolution

Course

Complex analysis (Analytic functions, Laurent series development, Residues), Fourier Transforms

Supervised studies

Convolution

Supervised studies

Complex Analysis

Course

Fourier transforms (contd.) Laplace transforms, Z-transforms, random signals (DSP of stationary and ergodic signals)

Supervised study

Transforms

Course

Notion of signal, Digitalisation (part-1 : sampling)

Course

Digitalisation (part-2&3 : quantification, coding), Digitalisation of real signals

Course

Digital processing  ( FFT, STFF, CWT, DWT )