A Mathematical Theory of Communication

E1169

A Mathematical Theory of Communication is Claude Shannon’s landmark 1948 paper that founded information theory by rigorously defining concepts like information, entropy, and channel capacity.

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Statements (49)

Predicate Object
instanceOf landmark paper
scientific paper
associatedWithConcept Shannon entropy
Shannon limit
linked to: Shannon entropy
author Claude Shannon
coreIdea communication as selection of a message from a set of possible messages
distinction between semantic content and technical information
logarithmic measure of information content
separation of source coding and channel coding (conceptual)
use of probability distributions to model message sources
countryOfOrigin United States
defined channel capacity as the maximum reliable communication rate
entropy as a measure of information, choice, and uncertainty
equivocation in communication systems
rate of information transmission
field information theory
focusesOn limits of reliable communication over noisy channels
mathematical modeling of communication systems
probabilistic treatment of messages and signals
hasPart analysis of noisy channels
discussion of coding and efficiency
treatment of continuous sources
treatment of discrete sources
influencedField coding theory
computer science
cryptography
data compression
digital communications
linguistics
neuroscience
statistical mechanics
telecommunications engineering
introducedConcept bit as a unit of information
channel capacity
continuous channel model
discrete memoryless channel model
information entropy
mutual information
noisy channel coding theorem (in preliminary form)
redundancy in communication
language English
laterRepublishedAs The Mathematical Theory of Communication
laterRepublishedWith an introductory essay by Warren Weaver
originalPublicationMedium journal article
publicationYear 1948
publisher Bell System Technical Journal
recognizedAs foundational work of information theory
one of the most influential scientific papers of the 20th century
title A Mathematical Theory of Communication

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Referenced by (16)

Full triples — surface form annotated when it differs from this entity's canonical label.

Claude Shannon notableWork A Mathematical Theory of Communication
Claude Shannon notableWork The Mathematical Theory of Communication
linked to: A Mathematical Theory of Communication
Claude Shannon notableWork A Mathematical Theory of Communication
subject linked to: Claude
Claude Shannon coAuthorOf The Mathematical Theory of Communication
subject linked to: Claude
linked to: A Mathematical Theory of Communication
Shannon entropy introducedInWork A Mathematical Theory of Communication
Shannon entropy usedToDefine Shannon capacity of a channel
linked to: A Mathematical Theory of Communication
A Mathematical Theory of Communication title A Mathematical Theory of Communication
A Mathematical Theory of Communication laterRepublishedAs The Mathematical Theory of Communication
linked to: A Mathematical Theory of Communication
Claude Shannon notableWork A Mathematical Theory of Communication
subject linked to: Shannon
Communication Theory of Secrecy Systems relatedWork A Mathematical Theory of Communication
Bell System Technical Journal hasNotableArticle A Mathematical Theory of Communication
Communication Theory of Secrecy Systems relatedWork A Mathematical Theory of Communication
subject linked to: CTSS
An Introduction to Information Theory: Symbols, Signals and Noise covers Shannon’s theory of communication
linked to: A Mathematical Theory of Communication
information theory hasKeyPublication A Mathematical Theory of Communication
Nyquist theorem extendedBy Shannon’s information theory
linked to: A Mathematical Theory of Communication
Mathematical Foundations of Information Theory influencedBy Shannon’s 1948 papers on information theory
linked to: A Mathematical Theory of Communication