Signal Processing
0.
Mathematical reminder
Norms and convergence
Hilbert space
Bases
Convolution and cross/auto-correlation
1.
Introduction
Time Domain
Elementary signals
2.
Fourier analysis
Fourier series (periodic signals)
Continuous time
Discrete Time
Finite Signal
Classical Fourier Transform
Matlab basic exemples
3.
Filtering
Analog Filtering
Numerical Filtering
FIR analysis exemple
IIR analysis exemple
Delay effect exercice
4.
Sampling
Sampling
5.
Random signals
Definitions
Gaussian process
Spectrum and Noise
Filtering of random signals
Spectrum estimation
6.
Time-Frequency and Time-Scale
Continuous Time-Frequency analysis
Discrete Time-Frequency analysis
Built with
from
Grav
and
Hugo
Fourier analysis
Chapter 2
Fourier Analysis