Joint Source-Channel Coding of video sequences

Table of Contents

• Georgia Feideropoulou 2
• Abstract 4
• Résumé 6
• Remerciements 8
• Table des matières 10
• Table des figures 14
• Liste des tableaux 18
• List of Notations 22
• Statistical models for wavelet coefficients 22
• Spatio-temporal modelling of the wavelet coefficients in a scheme 22
• Overview of Joint Source-Channel coding schemes 22
• Joint Source-Channel coding based on linear labelling and rotated constellations 22
• Joint Source-Channel coding of a video on a Gaussian channel 23
• Joint source-channel coding of a video on a flat-Rayleigh fading channel 23
• List of abbreviations 24
• Résumé de la thèse 26
• Introduction-Motivation 26
• Codage conjoint source-canal de sources gaussiennes 26
• Constellations à diversité maximale 27
• Codage conjoint source-canal de séquences vidéo 29
• Modèle Statistique 29
• Applications du modèle statistique 31
• Construction du dictionnaire de source pour des séquences vidéo 32
• Premier résultats sur des canaux Gaussien et Rayleigh 34
• Algorithme dallocation de débit 35
• Application dalgorithme dallocation du débit 36
• Schéma du codage avec un étiquetage linéaire codé sur un canal gaussien 37
• Comparaison avec un quantificateur vectoriel non-structuré 39
• Schéma de codage avec matrice de rotation sur un canal Rayleigh 40
• Conclusions 42
• Chapitre 1 46
• Statistical models for wavelet coefficients 46
• 1.1 Introduction 46
• 1.2 Overview of statistical wavelet models for still images 47
• 1.2.1 Interscale Models 47
• 1.2.2 Intrascale Models 48
• 1.2.3 Composite Models 48
• 1.3 Simoncellis Joint Statistical Model 48
• 1.4 Introduction to the scheme of decompositon of a video sequence 50
• 1.5 Overview of statistical wavelet models for video 52
• 1.5.1 Marginal distribution of the spatio-temporal wavelets coef- ficients 52
• 1.5.2 Extension of models for still images to the video domain 54
• 1.6 Conclusion 56
• Chapitre 2 58
• Spatio-temporal modelling of the wavelet coefficients in a scheme 58
• 2.1 Introduction 58
• 2.2 Conditional histograms of wavelet coefficients in a scheme 58
• 2.3 Double Stochastic Model 59
• 2.4 Model Estimation 64
• 2.4.1 65
• 2.4.2 66
• 2.4.3 67
• 2.5 Illustration Examples 68
• 2.6 Conclusion 70
• Chapitre 3 72
• Application of the statistical model to error concealment and quality enhancement of video 72
• 3.1 Introduction 72
• 3.2 Prediction Method 73
• 3.3 Model-Based Quality Enhancement of Scalable Vi- deo 74
• 3.4 Error concealment in the Spatio-temporal wavelet domain 75
• 3.5 Error concealment of scalable bitstreams 80
• 3.6 Conclusion 82
• Chapitre 4 84
• Overview of Joint Source-Channel coding schemes 84
• 4.1 Introduction 84
• 4.2 Problem Statement 85
• 4.2.1 Vector Quantization 86
• 4.2.2 Index assignment IA 87
• 4.2.3 Channel coding 92
• 4.2.4 Channel decoding 93
• 4.3 Source-optimized channel coding 95
• 4.4 Channel-optimized source coding 100
• 4.5 Other combined optimizations 102
• 4.6 Conclusion 103
• Chapitre 5 104
• Joint Source-Channel coding based on linear labelling and rotated constellations 104
• 5.1 Introduction 104
• 5.2 Linear Labelling and Joint Source-Channel coding 105
• 5.2.1 Linear labelling to minimize channel distortion 105
• 5.2.2 Minimisation of source distortion-case of Gaussian sources 107
• 5.3 Maximum component diversity constellation 108
• 5.4 Construction of rotated -lattices of dimension and mixture constructions 109
• 5.4.1 Mixture constructions of rotated -lattices 110
• 5.5 Rotated lattices from cyclotomic fields where is a power of 111
• 5.6 Sphere Decoder 112
• 5.7 Performances of rotated BPSK over a Rayleigh fa- ding channel 114
• 5.8 Conclusion 115
• Chapitre 6 116
• Joint source-channel coding of a video on a Gaussian channel 116
• 6.1 Introduction 116
• 6.2 Bit allocation algorithm 117
• 6.2.1 A general method of bit allocation for spatio-temporal sub- bands 117
• 6.2.2 A robust bit allocation algorithm 119
• 6.3 Coding algorithm 120
• 6.3.1 Source codebook construction 121
• 6.3.2 Scaling the lattice constellation to the source dynamics 123
• 6.4 Application of joint source-channel coding scheme of a video over a Gaussian channel 126
• 6.4.1 A First Attempt 126
• 6.4.2 Application of the bit allocation algorithm 129
• 6.5 Calculation of the end-to-end distortion in the noisy system 133
• 6.6 Vector quantization by linear mapping of a block code 134
• 6.6.1 Index assignment using 135
• 6.6.2 Overall results when is used for index assignment 139
• 6.7 Structured vs. unstructured codebook with index assignment 140
• 6.8 Comparison with a MC-EZBC protected with rate punctured convolutional codes 145
• 6.9 Conclusion 148
• Chapitre 7 150
• Joint source-channel coding of a video on a flat-Rayleigh fading channel 150
• 7.1 Introduction 150
• 7.2 Linear Labelling and Puntured Convolutional Codes on a flat-Rayleigh fading Channel 151
• 7.3 Joint source-channel coding using rotations prior to transmission over a flat-Rayleigh channel 153
• 7.4 Comparison with the MC-EZBC protected by rate punctured convolutional codes over a flat-Rayleigh channel 156
• 7.5 Conclusion 158
• Conclusions and Perspectives 164
• Annexe A 168
• Basic definitions in Algebraic Number theory 168
• A.1 General definitions 168
• A.1.1 Properties of Ideals 171
• A.2 Ideal Lattices 171
• A.2.1 Construction of rotated - lattices with full diversity by Ideal lattices 172
• A.2.2 Cyclotomic fields 173
• Annexe B 174
• Vectorial extension of the double stochastic model 174
• Annexe C 176
• Rotation Matrices 176
• Bibliographie 178
• List of publications 185