A Mathematical Theory of Communication Author: Shannon, C. E. Conference/Journal: Bell Systems Technical Journal Date published: 1948 July, October Other: Volume ID: 27 , Pages: 379-423, 623-656 , Word Count: 116 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 Nyquist1 and Hartley2 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. http://people.math.harvard.edu/~ctm/home/text/others/shannon/entropy/entropy.pdf keywords chaos entropy information theory