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A Mathematical Theory of Communication

Claude E. Shannon

Bandwidth (computing)

Computer science

Nyquist–Shannon sampling theorem

1948

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.

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“A Mathematical Theory of Communication” is a paper by Claude E. Shannon published in 1948. It has an Open Access status of “closed”. You can read and download a PDF Full Text of this paper here.