AI Signal Processing

Matthieu Kowalski

Signal Processing class

Recent

Introduction

7/17/19 -

Content

7/17/19 -

Sequences

7/17/19 -

Signal: Definition

7/17/19 -

Exemple 1

7/17/19 -

Exemple 2

7/17/19 -

Exemple 3

Fourier

7/17/19 -

Fourier Analysis

7/17/19 -

Finite Fourier Transform

7/17/19 -

Main properties

7/17/19 -

Spectrum

7/17/19 -

To Do: Guitar tuner

7/17/19 -

To Do: zoom in images

Filtering

7/17/19 -

Definition

7/17/19 -

Filtering in the Fourier domain

7/17/19 -

Ideal filters and realizable filters

7/17/19 -

Digital filters

7/17/19 -

To Do: FIR Delay effect

7/17/19 -

To Do: IIR Delay effect

Random Signal

7/17/19 -

Introduction

7/17/19 -

Definition

7/17/19 -

Spectrum

7/17/19 -

Noise

7/17/19 -

Linear Denoising

7/17/19 -

To Do: noise spectrum density estimation and Wiener filtering

Time-Frequency

7/17/19 -

Fourier reminder

7/17/19 -

Fourier example: 1 sine

7/17/19 -

Fourier example: sum of 2 sines

7/17/19 -

Fourier example: 2 consecutive sines

7/17/19 -

Time-Frequency analysis

7/17/19 -

Discrete STFT: Gabor transform

Wavelets

7/17/19 -

Continuous wavelet transform

7/17/19 -

Orthogonal wavelet transform

7/17/19 -

Time-Frequency tilling

7/17/19 -

Scalogram: continuous VS orthogonal

7/17/19 -

2D FWT

7/17/19 -

2D FWT

Inverse Problems

7/17/19 -

Examples of inverse problem

7/17/19 -

Inverse Problem: examples

7/17/19 -

Inverse Problem: resolution by optimization

7/17/19 -

Inverse Problem: algorithm

7/17/19 -

FISTA: some remarks

7/17/19 -

To Do: audio signal declipping

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