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MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
Lektion 18 von 20
Lecture 18: Transmitting Information Reliably over a Noisy Channel & Shannon’s Noisy Coding Theorem
Lektionen
20 Lektionen
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1
Lecture 1: Pigeonhole Principle
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2
Lecture 2: Independence and Conditioning
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3
Lecture 3: Inclusion-Exclusion
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4
Lecture 4: Counting
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Lecture 5: More Counting and Generating Functions
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Lecture 6: More on Generating Functions
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7
Lecture 7: Generating Functions for Catalan Numbers
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Lecture 8: Tail Bounds
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Lecture 9: Chernoff Bounds
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10
Lecture 10: Modular Arithmetic
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11
Lecture 11: Basic Group Theory
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12
Lecture 12: Introduction to Linear Programming
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Lecture 13: Duality in Linear Programming
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Lecture 14: Zero-Sum Games
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Lecture 15: Max-Flow Min-Cut Theorem
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Lecture 16: Data Compression and Shannon’s Noiseless Coding Theorem
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Lecture 17: Huffman Coding
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Lecture 18: Transmitting Information Reliably over a Noisy Channel & Shannon’s Noisy Coding Theorem
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19
Lecture 19: Error-Correcting Codes—Hamming Codes
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20
Lecture 20: Reed-Solomon Codes
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Lektion 18, Lecture 18: Transmitting Information Reliably over a Noisy Channel & Shannon’s Noisy Coding Theorem, aus MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024