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Lecture 4: Entropy and Data Compression (III): Shannon's Source Coding Theorem, Symbol Codes

Published on Nov 05, 201219741 Views

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Chapter list

Symbol Codes: Introduction00:00
How To Compress a Redundant File (1)00:27
How To Measure Information Content00:30
Source Coding Theorem01:26
Example: Bent Coin (1)02:48
How We Won The Bent Coin Lottery02:59
Example: Bent Coin (2)04:01
How To Compress a Redundant File (2)04:23
How To Compress a Redundant File (3)05:02
How To Compress a Redundant File (4)05:26
How To Compress a Redundant File (5)06:57
How To Compress a Redundant File (6)07:55
How To Compress a Redundant File (7)08:30
How To Compress a Redundant File (8)09:07
Expected Length Of A Code10:17
How To Compress a Redundant File (9)11:28
How To Compress a Redundant File (10)12:42
How To Compress a Redundant File (11)15:07
How To Compress a Redundant File (12)16:00
How To Compress a Redundant File (13)19:00
How To Compress a Redundant File (14)19:22
How To Compress a Redundant File (15)20:42
How To Compress a Redundant File (16)23:35
How To Compress a Redundant File (17)23:49
How To Compress a Redundant File (18)24:32
How To Compress a Redundant File (19)26:12
How To Compress a Redundant File (20)27:28
How To Compress a Redundant File (21)28:37
How To Compress a Redundant File (22)29:16
How To Compress a Redundant File (23)30:35
How To Compress a Redundant File (24)33:06
How To Compress a Redundant File (25)36:06
The Symbol-Code Supermarket (1)37:22
The Symbol-Code Supermarket (2)38:11
Kraft Inequality38:34
The Symbol-Code Supermarket (3)39:24
The Symbol-Code Supermarket (4)39:27
The Symbol-Code Supermarket (5)39:56
The Symbol-Code Supermarket (6)40:26
The Symbol-Code Supermarket (7)40:33
The Symbol-Code Supermarket (8)40:43
A Complete Code41:23
Ideal Length (1)42:26
Ideal Length (2)44:42
Ideal Length (3)45:31
Ideal Length (4)46:17
Gibbs Inequality (1)47:07
Gibbs Inequality (2)47:48
Gibbs Inequality (3)48:20
Gibbs Inequality (4)50:11
Optimal Symbol Codes (1)51:28
Optimal Symbol Codes (4)52:55
Optimal Symbol Codes (3)53:13
Gibbs Inequality (5)55:28
Symbol Code Summary55:31
Results Without Proof56:03
Homework56:17