information theory

Table of Contents

Introduction
Historical background
Classical information theory
- Shannon’s communication model
- Four types of communication
  - Discrete, noiseless communication and the concept of entropy
    - From message alphabet to signal alphabet
    - Some practical encoding/decoding questions
    - Entropy
  - Discrete, noisy communication and the problem of error
  - Continuous communication and the problem of bandwidth
Applications of information theory
- Data compression
- Error-correcting and error-detecting codes
- Cryptology
- Linguistics
- Algorithmic information theory
- Physiology
- Physics

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Shannon's communication model

binary symmetric channel

Fourier analysis

communication: noise

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information theory: Facts & Related Content

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Also Known As	communication theory

Photos

Shannon's communication model

binary symmetric channel

Fourier analysis

communication: noise

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Topics

redundancy information processor negative entropy Shannon-Weaver information theory entropy cryptology information processing information communication cybernetics analysis probability theory computer science combinatorics algebra statistics geometry automata theory set theory trigonometry

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Key People

Claude Shannon

American engineer

Harry Nyquist

American physicist

Blackwell, David

David Blackwell

American statistician and mathematician

Equations written on blackboard

Numbers and Mathematics