This course is a refresher on Signal Processing to bridge the gap between M1 and M2 in this discipline. There will be 3 classes of 3h taught by E. Ogam (CNRS).
The program is as follows:
1. Introduction to Signal Processing (1 hour)
Overview of signal processing and its applications in acoustics
Basic terminology and key concepts
2. Time-Domain Analysis (1.5 hours)
Deterministic and random signals
Time-domain sampling and quantization
Correlation and autocorrelation
3. Frequency-Domain Analysis (2 hours)
Fourier transform: deterministic and random signals
Power spectral density
Convolution and its applications
Filtering techniques (Bartlett, Rectangle)
Transfer function
4. Vibration Analysis (1.5 hours)
Introduction to vibration analysis in acoustics
Fourier analysis of vibration signals
Power spectral density of vibration signals
Frequency response analysis and transfer functions for vibrating
systems
Modal analysis and vibration modes
5. Advanced Topics in Spectral Analysis (1.5 hours)
Introduction to wavelet transform
Hilbert transform and envelope extraction
Instantaneous frequency analysis
6. Filtering and Noise Reduction (1.5 hours)
Filter design: low-pass, band-pass, and high-pass filters
Adaptive filtering techniques
Noise reduction methods
7. Multidimensional Signal Analysis (1.5 hours)
Introduction to multidimensional signals in acoustics
Multidimensional Fourier transform
Spatial filtering techniques
Network signal analysis
- Gestionnaire: Maury Cédric