Introduction of signal processing
Code UE : USEEJ3
- Cours + travaux pratiques
- 4 crédits
Responsable(s)
Hmaied SHAIEK
Public, conditions d’accès et prérequis
Have a level bac + 2 in electronics (BTS, DUT, L2) and basis on mathematics for deterministic and random signals.
Objectifs pédagogiques
The main objective of this course is to give to students a clear view on the characterisation (time and frequency domain, spectrum and probability density function) of deterministic and random signals.
- Time and frequency representation (Fourier transform and power spectral density),
- Study of filtering operations (convolution operation)
Compétences visées
Upon completion of the subject, students will be able to:
Professional/academic knowledge and skills
Professional/academic knowledge and skills
- skills in Fourier analysis and transform, able to go from the time to frequency domain and vice versa,
- able to characterize deterministic and random signals in the frequency domain (Fourier transform, random processes, autocorrélation function, power spectral density),
- able to characterize amplitude of random signals (random variables, probability density function, cumulative distribution function),
- able to study a signal processing chain with addition and multiplication of random signals, able to compute the signal to noise ratio at the output of a signal processing chain,
- able to characterize narrow band signals (complex envelope, low pass equivalent chain), able to study a transmission system with amplitude modulation,
- able to use Matlab software for simulations of signal processing studies.
Mots-clés
Contenu
- Introduction
- Filtering
- Fourier series and transform
- Finite energy deterministic signals
- Finite power deterministic signals
- Random processes
- Random signal and power spectral density
- Operations (Filtering, addition, multiplication) of random signals
- Narrow band signals
- Application to amplitude modulations
Modalité d'évaluation
The course is validated if the mark is higher or equal to 10/20
Bibliographie
- Jacques Max, Jean-Louis Lacoume, Éditeur : Dunod : Méthodes et techniques de traitement du signal - 2e cycle / Master - Ecoles d'ingénieurs, Cours et exercices corrigés
- Dunod : Aide-mémoire - Traitement du signal - 3e édition, Aide-mémoire
- Mark Owen : Practical Signal Processing, 2012, Cambridge University press, isbn: 9781107411821
- A.V Oppenheim, A.S. Willsky, S. Hamid, : Signals and Systems, Prentice Hall, 1997
- J. Proakis : Digital Communications, Mc Graw-Hill, 4th edition,2001
Contact
EPN03 - Easy
292 rue Saint-Martin 11-B-2
75141 Paris Cedex 03
Tel :01 40 27 24 81
Virginie Dos Santos Rance
292 rue Saint-Martin 11-B-2
75141 Paris Cedex 03
Tel :01 40 27 24 81
Virginie Dos Santos Rance
Voir le calendrier, le tarif, les conditions d'accessibilité et les modalités d'inscription dans le(s) centre(s) d'enseignement qui propose(nt) cette formation.
Enseignement non encore programmé
Code UE : USEEJ3
- Cours + travaux pratiques
- 4 crédits
Responsable(s)
Hmaied SHAIEK