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A mathematical theory of communication

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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

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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.

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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

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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

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Association for Computing Machinery

New York, NY, United States

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Published: 01 January 2001

Published in SIGMOBILE Volume 5, Issue 1

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