Time-frequency representations (Filière : IEE)

Informations générales

  • Number of hours

    • Lectures 6
    • Projects 2

    ECTS

    ECTS 1

Goal(s)

At the end of this course, students will:
  - know the main existing time-frequency representations,
  - understand the estimation techniques of these quantities,
  - know how to realize a time-frequency analysis of a a given nonstationary signal.

Responsible(s)

Jérôme Mars

Contact details

jerome.mars@gipsa-lab.inpg.fr

Content(s)

Outline:
1. Non-parametric methods:
      - Wigner-Ville and ambiguity function
      - Short time Fourier Transform and spectrogram
      - instantaneous amplitude and frequency
2. Parametric methods :
      - Autoregressive model
      - other methods(Prony, Capon, Lagunas)
3. Applications on experimental data

Prerequisites:
Basics in digital signal processing
Spectral analysis

Test

Exam (2 h) + Labwork reports (4 h)

Calendar

S1

Bibliography

* The Wigner distribution, W. Mecklembraucker and F. Hlavatsch, Elsevier, 1997
* Temps-Fréquence, P. Flandrin, Hermès, 1993
* Traitement du signal pour géoloques et géophysiciens : Volume 3, techniques avancées en traitement du signal, J. Mars et al., Editions technip, 2005

French State controlled diploma conferring a Master's degree

diplôme conférant grade de master contrôlé par l'Etat