Abstract

The recent development of various methods of modulation such as PCM and PPM which exchange bandwidth for signal-to-noise ratio has intensified the interest in a general theory of communication. A basis for such a theory is contained in the important papers of Nyquist <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> and Hartley <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> on this subject. In the present paper we will extend the theory to include a number of new factors, in particular the effect of noise in the channel, and the savings possible due to the statistical structure of the original message and due to the nature of the final destination of the information.

Keywords

Bandwidth (computing)Computer scienceNyquist–Shannon sampling theoremChannel (broadcasting)Communication theoryMathematicsAlgorithmTheoretical computer scienceTelecommunicationsStatistics

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Publication Info

Year
1948
Type
article
Volume
27
Issue
3
Pages
379-423
Citations
77125
Access
Closed

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Cite This

Claude E. Shannon (1948). A Mathematical Theory of Communication. Bell System Technical Journal , 27 (3) , 379-423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x

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DOI
10.1002/j.1538-7305.1948.tb01338.x

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