Informations générales
ECTSECTS
1
Goal(s)
- Understand the different time-frequency representations, and their main properties.
- Understand the estimation technics of time-frequency representations.
- To be able to realize a time-frequency analysis of a particular signal.
Content(s)
1. Non-parametric methods
- Heisenberg-Gabor uncertainty principle
- Wigner-Ville representation and ambiguity function
- Short-Time Fourier Transform (STFT) and spectrogram
- instantaneous frequency
2. Parametric methods
- Auto-Regressive model
- Other methods (Prony, Capon, Lagunas)
3. Tuning and application on measured data in Labworks
Prerequisites :
Basics in Signal Processing.
Digital Signal Processing.
Basics in Spectral Analysis.
Test
Written exam (2h) and Labworks (4h)
Calendar
S1
Additional Information
10 h CM/TD + 4 h BE + 2 h DS
Bibliography
[1] Temps-Fréquence, P. Flandrin, Hermès, 1993
[2] The Wigner distribution, W. Mecklembraucker and F. Hlavatsch, Elsevier, 1997
[3] 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
