- Page 1: ÇÄÇÌÇÊÄËÁÆËÌÁÆÆÁÊ
- Page 5: 5 Abstract This thesis is dedicated
- Page 9 and 10: Contents Résumé 3 Abstract 5 Reme
- Page 11: CONTENTS 11 3.3.5 Estimating the mu
- Page 15 and 16: List of figures 1.1 Parity-check ma
- Page 17 and 18: Introduction Context In 1948, Claud
- Page 19 and 20: Outline 19 [19] that they are of fi
- Page 21: Contributions 21 Contributions In t
- Page 25 and 26: 1.2 Definition and parametrization
- Page 27 and 28: 1.3 General notation 27 When the pa
- Page 29 and 30: 1.4 Decoding of LDPC codes by Belie
- Page 31 and 32: 1.4 Decoding of LDPC codes by Belie
- Page 33 and 34: 1.5 Analysis of LDPC codes 33 Due t
- Page 35 and 36: 1.5 Analysis of LDPC codes 35 and L
- Page 37 and 38: 1.5 Analysis of LDPC codes 37 Permu
- Page 39 and 40: 1.5 Analysis of LDPC codes 39 The e
- Page 41 and 42: 1.6 Other design techniques 41 d c
- Page 43 and 44: 1.7 Proof of theorems in Chapter 1
- Page 45 and 46: Chapter 2 Hybrid LDPC Codes In this
- Page 47 and 48: 2.1 The class of hybrid LDPC codes
- Page 49 and 50: 2.1 The class of hybrid LDPC codes
- Page 51 and 52: 2.1 The class of hybrid LDPC codes
- Page 53 and 54: 2.1 The class of hybrid LDPC codes
- Page 55 and 56: 2.2 Asymptotic analysis of hybrid L
- Page 57 and 58: 2.2 Asymptotic analysis of hybrid L
- Page 59 and 60: 2.2 Asymptotic analysis of hybrid L
- Page 61 and 62: 2.2 Asymptotic analysis of hybrid L
- Page 63 and 64: 2.2 Asymptotic analysis of hybrid L
- Page 65 and 66: 2.3 Distributions optimization 65 F
- Page 67 and 68: 2.3 Distributions optimization 67 w
- Page 69 and 70: 2.3 Distributions optimization 69 a
- Page 71 and 72: 2.3 Distributions optimization 71 D
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2.4 Finite length optimization 73 2

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2.5 Results 75 hybrid LDPC code num

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2.5 Results 77 10 0 Eb/No 10 −1 H

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2.5 Results 79 10 0 E b /N 0 in dB

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2.7 Proofs of theorems in Chapter 2

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2.7 Proofs of theorems in Chapter 2

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2.7 Proofs of theorems in Chapter 2

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2.7 Proofs of theorems in Chapter 2

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2.7 Proofs of theorems in Chapter 2

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2.7 Proofs of theorems in Chapter 2

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2.7 Proofs of theorems in Chapter 2

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Chapter 3 Machine Learning Methods

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3.2 Machine Learning Methods for Co

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3.2 Machine Learning Methods for Co

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3.2 Machine Learning Methods for Co

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3.3 Machine Learning Methods for De

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3.3 Machine Learning Methods for De

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3.3 Machine Learning Methods for De

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3.3 Machine Learning Methods for De

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3.3 Machine Learning Methods for De

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3.4 Conclusion 113 the graph. We ha

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116Chapitre 4 : Two-Bit Message Pas

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118Chapitre 4 : Two-Bit Message Pas

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120Chapitre 4 : Two-Bit Message Pas

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122Chapitre 4 : Two-Bit Message Pas

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124Chapitre 4 : Two-Bit Message Pas

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126Chapitre 4 : Two-Bit Message Pas

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128Chapitre 4 : Two-Bit Message Pas

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130Chapitre 4 : Two-Bit Message Pas

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132Chapitre 4 : Two-Bit Message Pas

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134 Conclusions and Perspectives We

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Bibliography [1] G. Liva, W. Ryan,

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BIBLIOGRAPHY 139 [24] M. P. C. Foss

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BIBLIOGRAPHY 141 [52] K. Kasai, T.

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BIBLIOGRAPHY 143 [79] D. Levine,

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[104] L. Sassatelli and D. Declercq