Information-spectrum methods in information theory

1 Source Coding 1.1 Source Coding: Fixed-Length Codes 1.2 Source Coding: Variable-Length Codes 1.3 Coding for General Sources: Fixed-Length Codes 1.4 Fixed-Length Coding for Mixed Sources 1.5 Strong Converse Theorem for Source Coding 1.6 ε-Source Coding 1.7 Coding for General Sources: Variable-Length Codes 1.8 Coding for General Source: Weak Variable-Length Codes 1.9 Source Coding and Large Deviation: Decoding Error Probability 1.10 Source Coding and Large Deviation: Probability of Correct Decoding 1.11 Reliability Functions of the General Source with Variable-Length Coding 1.12 Information Spectrum and Invariancy 2 Random Number Generation 2.1 Random Number Generation 2.2 Resolvability and Intrinsic Randomness 2.3 Strong Converse Theorem for Random Number Generation 2.4 δ-Random Number Generation 2.5 Variable-Length Intrinsic Randomness 2.6 Random Number Generation and Source Coding 3 Channel Coding 3.1 Channel Coding: Stationary Memoryless Channel 3.2 Coding for General Channel 3.3 Coding for Mixed Channels 3.4 ε-Channel Coding 3.5 Strong Converse Theorem on Channel Coding 3.6 Channel Capacity with Cost Constraint 3.7 Strong Converse Property of Channel with Cost Constraint 3.8 Joint Source-Channel Coding 3.9 Separation Theorems of the Traditional Type 4 Hypothesis Testing 4.1 Hypothesis Testing 4.2 ε-Hypothesis Testing 4.3 Strong Converse Theorem for Hypothesis Testing 4.4 Hypothesis Testing and Large Deviation Probability ofTesting Error 4.5 Hypothesis Testing and Large Deviation: Probability ofCorrect Testing 4.6 Generalized Hypothesis Testing 4.7 Hypothesis Testing and Source Coding 5 Rate-Distortion Theory 5.1 Coding Subject to Distortion Criterion 5.2 Rate-Distortion Theory for Stationary Memoryless Sources 5.3 General Rate-Distortion Theory 5.4 Rate-Distortion Function Rfm(DX) 5.5 Rate-Distortion Function Rfa(DX) 5.6 Rate-Distortion Function Rum(DX) 5.7 Rate-Distortion Function Rua(DX) 5.8 Rate-Distortion for Stationary Memoryless Sources Revisited 5.9 Rate-Distortion for Stationary Ergodic Sources 5.10 Rate-Distortion Function for Mixed Sources 6 Identification Code and Channel Resolvability