Communication in the Presence of Noise

Claude Shannon is often referred to as the "father of the information age." In this paper, Shannon introduced the concept of "bit" as the fundamental unit of information, and he formalized the mathematical principles governing information transmission and compression. His work provided a profound understanding of how information can be efficiently represented, transmitted, and processed, revolutionizing the fields of telecommunications, data compression, cryptography, and more.He was an American mathematician, electrical engineer, and cryptographer who made groundbreaking contributions to the field of information theory.

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Communication in the Presence of Noise

August 12, 2023
mike@standardsmichigan.com

Communication in the Presence of Noise

Claude E. Shannon

University of Michigan – Bell Telephone Laboratories – Massachusetts Institute of Technology

Abstract. A method is developed for representing any communication system geometrically. Messages and the corresponding signals are points in two “function spaces,” and the modulation process is a mapping of one space into the other. Using this representation, a number of results in communication theory are deduced concerning expansion and compression of bandwidth and the threshold effect. Formulas are found for the maximum rate of transmission of binary digits over a system when the signal is perturbed by various types of noise. Some of the properties of “ideal” systems which transmit at this maxmum rate are discussed. The equivalent number of binary digits per second for certain information sources is calculated.

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