Homepage » 課程專區 » 電機學院 » 消息理論 Information Theory – 107學年度 | 電機工程學系 陳伯寧老師 » Chapter 2:Information Measures for Discrete Systems, 2.1.1 Self-information, 2.1.2 Entropy, 2.1.3 Properties of entropy, 2.1.4 Joint entropy and conditional entropy, 2.1.5 Properties of joint and conditional entropy, 2.2 Mutual information, 2.2.1 Properties of mutual information, 2.3 Properties of entropy and mutual information for multiple random variables
週次 | 課程內容 | 課程影音 | 課程下載 |
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Overview: The philosophy behind information theory | 線上觀看 | MP4下載 | |
Chapter 1:Introduction | 線上觀看 | MP4下載 | |
Appendix A:Overview on Suprema and Limits A.1 Supremum and maximum A.2 Infimum and minimum A.3 Boundedness and suprema operations A.4 Sequences and their limits | 線上觀看 | MP4下載 | |
Appendix A:Overview on Suprema and Limits Review A.1-A.4 A.5 Equivalence | 線上觀看 | MP4下載 | |
Appendix B:Overview in Probability and Random Processes B.1 Probability space B.2 Random variables and random processes | 線上觀看 | MP4下載 | |
Appendix B:Overview in Probability and Random Processes B.3 Statistical properties of random sources | 線上觀看 | MP4下載 | |
Appendix B:Overview in Probability and Random Processes B.5 Ergodicity and law of large numbers B.6 Central limit theorem B.7 Convexity, concavity and Jensen’s inequality B.8 Lagrange multipliers tech. & KKT conditions | 線上觀看 | MP4下載 | |
Chapter 2:Information Measures for Discrete Systems 2.1.1 Self-information 2.1.2 Entropy 2.1.3 Properties of entropy 2.1.4 Joint entropy and conditional entropy 2.1.5 Properties of joint and conditional entropy 2.2 Mutual information 2.2.1 Properties of m | 線上觀看 | MP4下載 | |
Chapter 2:Information Measures for Discrete Systems 2.4 Data processing inequality 2.5 Fano’s inequality | 線上觀看 | MP4下載 | |
Chapter 2:Information Measures for Discrete Systems 2.6 Divergence and variational distance | 線上觀看 | MP4下載 | |
Chapter 2:Information Measures for Discrete System 2.7 Convexity/concavity of information measures 2.8 Fundamentals of hypothesis testing 2.9 R´enyi’s information measures | 線上觀看 | MP4下載 | |
Chapter 3:Lossless Data Compression 3.1 Principles of data compression 3.2.1 Block codes for DMS 3.2.2 Block Codes for Stationary Ergodic Sources | 線上觀看 | MP4下載 | |
Chapter 3:Lossless Data Compression 3.3 Variable-Length Code for Lossless Data Comp. 3.3.1 Non-singular Codes and Uniquely Decodable Codes 3.3.2 Prefix or Instantaneous Codes | 線上觀看 | MP4下載 | |
Chapter 3:Lossless Data Compression 3.3.3 Examples of Binary Prefix Codes | 線上觀看 | MP4下載 | |
Chapter 3:Lossless Data Compression 3.3.4 Universal Lossless Variable-Length Codes | 線上觀看 | MP4下載 | |
Chapter 4:Data Transmission and Channel Capacity 4.3 Block codes for data transmission over DMCs(1/3) | 線上觀看 | MP4下載 | |
Chapter 4:Data Transmission and Channel Capacity 4.3 Block codes for data transmission over DMCs(2/3) | 線上觀看 | MP4下載 | |
Chapter 4:Data Transmission and Channel Capacity 4.3 Block codes for data transmission over DMCs(3/3) | 線上觀看 | MP4下載 | |
Chapter 4:Data Transmission and Channel Capacity 4.5 Calculating channel capacity 4.5.1 Symmetric, Weakly Symmetric, and Quasi-symmetric Channels 4.5.2 Karuch-Kuhn-Tucker cond. for chan. capacity | 線上觀看 | MP4下載 | |
Chapter 4:Data Transmission and Channel Capacity 4.4 Example of Polar Codes for the BEC | 線上觀看 | MP4下載 | |
Chapter 4:Data Transmission and Channel Capacity 4.6 Lossless joint source-channel coding and Shannon’s separation principle | 線上觀看 | MP4下載 | |
Chapter 5:Differential Entropy and Gaussian Channels 5.1 Differential entropy | 線上觀看 | MP4下載 | |
Chapter 5:Differential Entropy and Gaussian Channels 5.1 Differential entropy 5.2 Joint & cond. diff. entrop., diverg. & mutual info | 線上觀看 | MP4下載 | |
Chapter 5:Differential Entropy and Gaussian Channels 5.3 AEP for continuous memoryless sources 5.4 Capacity for discrete memoryless Gaussian chan | 線上觀看 | MP4下載 | |
Chapter 5:Differential Entropy and Gaussian Channels 5.5 Capacity of Uncorrelated Parallel Gaussian Chan | 線上觀看 | MP4下載 | |
Chapter 5:Differential Entropy and Gaussian Channels 5.6 Capacity of correlated parallel Gaussian channels 5.7 Non-Gaussian discrete-time memoryless channels 5.8 Capacity of band-limited white Gaussian channel | 線上觀看 | MP4下載 | |
Chapter 6:Lossy Data Compression and Transmission 6.1.1 Motivation 6.1.2 Distortion measures 6.1.3 Frequently used distortion measures 6.2 Fixed-length lossy data compression | 線上觀看 | MP4下載 | |
Chapter 6:Lossy Data Compression and Transmission 6.3 Rate-distortion theorem AEP for distortion typical set Shannon’s lossy source coding theorem | 線上觀看 | MP4下載 | |
Chapter 6:Lossy Data Compression and Transmission 6.4 Calculation of the rate-distortion function 6.4.2 Rate distortion func / the squared error dist | 線上觀看 | MP4下載 | |
Chapter 6:Lossy Data Compression and Transmission 6.5 Lossy joint source-channel coding theorem 6.6 Shannon limit of communication systems(1/2) | 線上觀看 | MP4下載 | |
Chapter 6:Lossy Data Compression and Transmission 6.6 Shannon limit of communication systems(2/2) | 線上觀看 | MP4下載 | |
Preface and Introduction Chapter 1:Generalized Information Measures for Arbitrary Systems with Memory | 線上觀看 | MP4下載 | |
Chapter 2:General Data Compression Theorems | 線上觀看 | MP4下載 | |
Chapter 3:Measure of Randomness for Stochastic Processes | 線上觀看 | MP4下載 | |
Chapter 4:Channel Coding Theorems and Approximations of Output Statistics for Arbitrary Channels | 線上觀看 | MP4下載 |