Descriptif
Learning how to solve simple audio signal processing problems by means of signal models and dictionaries, sparse principles etc.Objectifs pédagogiques
Being able to• choose the right signal model: deterministic or random
• choose an appropriate dictionary (Gabor or wavelets) for a given signal and the application
• use the sparse principle for audio signal processing
in order to solve simple audio signal processing problems
Compétences complémentaires :
Use of MATLAB and for programmation and signal processing
33 heures en présentiel (11 blocs ou créneaux)
réparties en:
- Cours magistral : 15
- Travaux pratiques : 15
effectifs minimal / maximal:
10/30Diplôme(s) concerné(s)
domaines Saclay
Mention Mécanique.Pour les étudiants du diplôme Master 2 Acoustical Engineering
Basics of signal processing (Fourier analysis, Z-transform, FIR and IIR filters, introduction to random signals)
Format des notes
Numérique sur 20Littérale/grade européenPour les étudiants du diplôme Master 2 Acoustical Engineering
Vos modalités d'acquisition :
Exam (70%) + Practical work (30%)
Le rattrapage est autorisé (Note de rattrapage conservée)- le rattrapage est obligatoire si :
- Note initiale < 7
- Crédits ECTS acquis : 3 ECTS
Le coefficient de l'UE est : 3
La note obtenue rentre dans le calcul de votre GPA.
L'UE est évaluée par les étudiants.
Programme détaillé
Theoretical content:• Reminder on Fourier. Filtering and numerical filters synthesis
• Random signals, Power Spectrum Density (PSD), PSD estimators (periodogram, Welch), AR model
• Frequency estimation (Fourier, HR methods)
• Time-Frequency analysis/synthesis: Short Time Fourier Transform (STFT)/Gabor, bank filters interpretation (Wide/short band, speech analysis), uncertainty principle, non surjectivity of STFT, re-synthesis of the signal (Frames introduction), MDCT
• Non uniform bank filters, introduction to wavelets and non stationary Gabor frames
• Atomic decomposition: Matching Pursuit, Introduction to sparsity
Practical content:
• Introduction to audio Analysis/Synthesis
• Denoising and compression of audio signal
• Audio signal restauration (declipping, decliccing)