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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)
Sampling and analog to digital conversion

Compétences visées

Upon completion of the subject, students will be able to:
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

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Contact

EPN03 - Easy
292 rue Saint-Martin 11-B-2
75141 Paris Cedex 03
Tel :01 40 27 24 81
Virginie Dos Santos Rance
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