article

A mathematical theory of communication

Author:

C. E. ShannonAuthors Info & Claims

ACM SIGMOBILE Mobile Computing and Communications Review, Volume 5, Issue 1

Pages 3 - 55

https://doi.org/10.1145/584091.584093

Published: 01 January 2001 Publication History

Get Access

References

[1]

{fr1} Nyquist, H., "Certain Factors Affecting Telegraph Speed," Bell System Technical Journal, April 1924, p. 324; "Certain Topics in Telegraph Transmission Theory," A.I.E.E. Trans., v. 47, April 1928, p. 617.

Crossref

Google Scholar

[2]

{fr2} Hartley, R. V. L., "Transmission of Information," Bell System Technical Journal, July 1928, p. 535.

Crossref

Google Scholar

[3]

{fr3} S. Chandrasekhar, "Stochastic Problems in Physics and Astronomy," Reviews of Modern Physics, v. 15, No. 1, January 1943, p. 1.

Google Scholar

[4]

{fr4} Kendall and Smith, Tables of Random Sampling Numbers, Cambridge, 1939.

Google Scholar

[5]

{fr5} Fletcher Pratt, Blue Ribbon Books, 1939. Word frequencies are tabulated in Relative Frequency of English Speech Sounds, G. Dewey, Harvard University Press, 1923.

Google Scholar

[6]

{fr6} M. Fréchet, Méthode des fonctions arbitraires. Théorie des événements en chaîne dans le cas d'un nombre fini d'états possibles. Paris, Gauthier-Villars, 1938.

Google Scholar

[7]

{fr7} R. C. Tolman, Principles of Statistical Mechanics, Oxford, Clarendon, 1938.

Google Scholar

[8]

{fr8} Technical Report No. 65, The Research Laboratory of Electronics, M.I.T., March 17, 1949.

Google Scholar

[9]

{fr9} E. Hopf, "Ergodentheorie," Ergebnisse der Mathematik und ihrer Grenzgebiete, v. 5; "On Causality Statistics and Probability," Journal of Mathematics and Physics, v. XIII, No. 1, 1934; N. Wiener, "The Ergodic Theorem," Duke Mathematical Journal, v. 5, 1939.

Google Scholar

[10]

{fr10} Communication theory is heavily indebted to Wiener for much of its basic philosophy and theory. His classic NDRC report, The Interpolation, Extrapolation and Smoothing of Stationary Time Series (Wiley, 1949).

Google Scholar

[11]

{fr11} "Communication in the Presence of Noise" published in the Proceedings of the Institute of Radio Engineers, v. 37, No. 1, Jan., 1949, pp. 10-21.

Google Scholar

[12]

{fr12} Cybernetics, loc. cit.

Google Scholar

[13]

{fr13} "Theoretical Limitations on the Rate of Transmission of Information," Proceedings of the Institute of Radio Engineers, v. 37, No. 5, May, 1949, pp. 468-78.

Google Scholar

Cited By

View all

Ahmad SChowdhury SHolmes R(2025)Impact of methodological choices on the analysis of code metrics and maintenanceJournal of Systems and Software10.1016/j.jss.2024.112263220(112263)Online publication date: Feb-2025
https://doi.org/10.1016/j.jss.2024.112263
Lamei PMohammadi Darani MWiggins JMahar C(2025)Can mobile promotion automation decrease overall purchases? The role of promotion pattern predictability in customer habit formationJournal of Retailing and Consumer Services10.1016/j.jretconser.2024.10413882(104138)Online publication date: Jan-2025
https://doi.org/10.1016/j.jretconser.2024.104138
Yang JZhu SLiang HBai SJiang FHussain A(2025)PAFPT: Progressive aggregator with feature prompted transformer for underwater image enhancementExpert Systems with Applications10.1016/j.eswa.2024.125539262(125539)Online publication date: Mar-2025
https://doi.org/10.1016/j.eswa.2024.125539
Show More Cited By

A mathematical theory of communication
1. Mathematics of computing
  1. Information theory

Recommendations

A mathematical theory of communication: Meaning, information, and topology

This article proposes a new mathematical theory of communication. The basic concepts of meaning and information are defined in terms of complex systems theory. Meaning of a message is defined as the attractor it generates in the receiving system; ...
A cognitive tool to support mathematical communication in fraction word problem solving

Word problem solving is one of the most challenging tasks in mathematics for most students. It requires the solver to translate the problem into the language of mathematics, where we use symbols for mathematical operations and for numbers whether known ...
Knowledge and the mathematical properties of communication

This paper looks at some of the fundamental mathematical properties of communications. Knowledge is, we know, the property of a group of communicating agents yet little consideration is given to the features of these communications in the context of a ...

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM SIGMOBILE Mobile Computing and Communications Review

ACM SIGMOBILE Mobile Computing and Communications Review Volume 5, Issue 1

January 2001

55 pages

ISSN:1559-1662

EISSN:1931-1222

DOI:10.1145/584091

Issue’s Table of Contents

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 January 2001

Published in SIGMOBILE Volume 5, Issue 1

Check for updates

Qualifiers

Article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

3,871
Total Citations
View Citations
51,317
Total Downloads

Downloads (Last 12 months)2,677
Downloads (Last 6 weeks)218

Reflects downloads up to 16 Nov 2024

Other Metrics

View Author Metrics

Citations

Cited By

View all

Ahmad SChowdhury SHolmes R(2025)Impact of methodological choices on the analysis of code metrics and maintenanceJournal of Systems and Software10.1016/j.jss.2024.112263220(112263)Online publication date: Feb-2025
https://doi.org/10.1016/j.jss.2024.112263
Lamei PMohammadi Darani MWiggins JMahar C(2025)Can mobile promotion automation decrease overall purchases? The role of promotion pattern predictability in customer habit formationJournal of Retailing and Consumer Services10.1016/j.jretconser.2024.10413882(104138)Online publication date: Jan-2025
https://doi.org/10.1016/j.jretconser.2024.104138
Yang JZhu SLiang HBai SJiang FHussain A(2025)PAFPT: Progressive aggregator with feature prompted transformer for underwater image enhancementExpert Systems with Applications10.1016/j.eswa.2024.125539262(125539)Online publication date: Mar-2025
https://doi.org/10.1016/j.eswa.2024.125539
Yu FGuan JWu HWang HMa B(2025)Multi-population differential evolution approach for feature selection with mutual information rankingExpert Systems with Applications10.1016/j.eswa.2024.125404260(125404)Online publication date: Jan-2025
https://doi.org/10.1016/j.eswa.2024.125404
Zarean JTajally ATavakkoli-Moghaddam RSajadi SWassan N(2025)A framework for robust glaucoma detection: A confidence-aware deep uncertainty quantification approach with a comprehensive assessment for enhanced clinical decision-makingEngineering Applications of Artificial Intelligence10.1016/j.engappai.2024.109651139(109651)Online publication date: Jan-2025
https://doi.org/10.1016/j.engappai.2024.109651
Mishra SWarule PDeb S(2025)Speech emotion recognition using multi resolution Hilbert transform based spectral and entropy featuresApplied Acoustics10.1016/j.apacoust.2024.110403229(110403)Online publication date: Feb-2025
https://doi.org/10.1016/j.apacoust.2024.110403
Yilma ZMengesha GGirma Z(2024)Species composition, relative abundance, and habitat association of birds in Dodola dry evergreen afro-montane forest and sub-afro-alpine scrubland vegetation, southeast EthiopiaPeerJ10.7717/peerj.1677512(e16775)Online publication date: 11-Jan-2024
https://doi.org/10.7717/peerj.16775
Vasconcelos LCampelo C(2024)Extracting Features from Text Flows based on Semantic Similarity for Text Classification: an Approach Inspired by Audio AnalysisJournal of the Brazilian Computer Society10.5753/jbcs.2024.375930:1(297-314)Online publication date: 25-Sep-2024
https://doi.org/10.5753/jbcs.2024.3759
Liu YZou TFu H(2024)A Conflict Evidence Fusion Method Based on Bray–Curtis Dissimilarity and the Belief EntropySymmetry10.3390/sym1601007516:1(75)Online publication date: 5-Jan-2024
https://doi.org/10.3390/sym16010075
Wang JAn N(2024)Research on Evaluation Method of Green Suppliers Under Pythagorean Fuzzy EnvironmentSustainability10.3390/su1620912416:20(9124)Online publication date: 21-Oct-2024
https://doi.org/10.3390/su16209124
Show More Cited By

View Options

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Cited By

Recommendations

A mathematical theory of communication: Meaning, information, and topology

A cognitive tool to support mathematical communication in fraction word problem solving

Knowledge and the mathematical properties of communication