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Logo Faculté des Sciences et Techniques Le MansLogo Faculté des Sciences et Techniques  Le Mans
MA SCOLARITÉMA SCOLARITÉMA SCOLARITÉ
ACTUALITÉSACTUALITÉSACTUALITÉS

Signal analysis I

Présentation

1. Digital Filtering: (a) Introduction, properties of digital filters - (b) Analog systems simulation (IIR filters). Discrete-time approximation of loudspeaker behavior (practical) - (c) FIR filters design. Filtering with FIR Filters (practical) 2. Non stationary signal analysis:  (a) Introduction : stationarity vs non-stationarity, global ideas about time-frequency analysis, examples - (b) Limits of Fourier analysis and introduction to local Fourier analysis : classical Fourier transform (including time-frequency duality), Short-Time Fourier transform (definition, interpretation,  limits) (c) Frequencies : Instantaneous frequency, analytic signal, examples (favourable and un- favourable cases) - (d) Decompositions and densities : atomic decompositions (including wavelet analysis), densities (including Wigner-Ville decomposition) - 3. Acoustic Imaging: Acoustic intensimetry and beamforming - Nearfield Acoustic Holography (NAH) in cartesian coordinates -  Loudspeaker measurement with microphone arrays

Objectifs

Expected knowledge : –   Know the basics of digital filtering –   Know the basic tools of non-stationary signal analysis (Short-time Fourier Transform, wavelet analysis, Wigner-Ville distribution) –   Know the basic acoustic imaging method - Expected skills: –   Be able to design simple FIR and IIR filters –   Be able to apply them in a context of real-world data, in order to extract informations from data - Be able to write beamforming and Nearfield Acoustic Holography (NAH) codes

Conditions d'admission

Signal Analysis Refresh

Examens

Written exam - 2 hours - personal notes allowed

Informations complémentaires

Literature References : Edward P. Cunningham, Digital filtering : an introduction, New York : J. Wiley , 1995 - Time-Frequency Analysis, L. Cohen, Prentice-Hall, 1995 - Time-Frequency / Time-Scale Analysis, P. Flandrin, Academic Press, 1999  - A Wavelet Tour in Signal Processing, S. Mallat, 3rd Ed., Academic Press, 2009

 

En bref

Crédits ECTS 3.0

Nombre d'heures 36.0

Période de l'année
Printemps

Contact(s)

Composante

Lieu(x)

  • Le Mans

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