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
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
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Appendix A:Overview on Suprema and Limits
Review A.1-A.4
A.5 Equivalence
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Appendix B:Overview in Probability and Random Processes
B.1 Probability space
B.2 Random variables and random processes
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Appendix B:Overview in Probability and Random Processes
B.3 Statistical properties of random sources
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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
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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
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Chapter 2:Information Measures for Discrete Systems
2.4 Data processing inequality
2.5 Fano’s inequality
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Chapter 2:Information Measures for Discrete Systems
2.6 Divergence and variational distance
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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
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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
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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
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Chapter 3:Lossless Data Compression
3.3.3 Examples of Binary Prefix Codes
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Chapter 3:Lossless Data Compression
3.3.4 Universal Lossless Variable-Length Codes
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Chapter 4:Data Transmission and Channel Capacity
4.3 Block codes for data transmission over DMCs(1/3)
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Chapter 4:Data Transmission and Channel Capacity
4.3 Block codes for data transmission over DMCs(2/3)
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Chapter 4:Data Transmission and Channel Capacity
4.3 Block codes for data transmission over DMCs(3/3)
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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
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Chapter 4:Data Transmission and Channel Capacity
4.4 Example of Polar Codes for the BEC
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Chapter 4:Data Transmission and Channel Capacity
4.6 Lossless joint source-channel coding and Shannon’s separation principle
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Chapter 5:Differential Entropy and Gaussian Channels
5.1 Differential entropy
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Chapter 5:Differential Entropy and Gaussian Channels
5.1 Differential entropy
5.2 Joint & cond. diff. entrop., diverg. & mutual info
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Chapter 5:Differential Entropy and Gaussian Channels
5.3 AEP for continuous memoryless sources
5.4 Capacity for discrete memoryless Gaussian chan
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Chapter 5:Differential Entropy and Gaussian Channels
5.5 Capacity of Uncorrelated Parallel Gaussian Chan
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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
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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
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Chapter 6:Lossy Data Compression and Transmission
6.3 Rate-distortion theorem
AEP for distortion typical set
Shannon’s lossy source coding theorem
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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
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Chapter 6:Lossy Data Compression and Transmission
6.5 Lossy joint source-channel coding theorem
6.6 Shannon limit of communication systems(1/2)
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Chapter 6:Lossy Data Compression and Transmission
6.6 Shannon limit of communication systems(2/2)
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Preface and Introduction
Chapter 1:Generalized Information Measures for Arbitrary Systems with Memory
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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