A Mathematical Theory of Communication

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June 30, 2026

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"A Mathematical Theory of Communication" by Claude Shannon is a foundational work in information theory. This theory provides a mathematical framework for understanding the conditions and limitations affecting the transmission and processing of information. Shannon's model breaks down communication into key components: a message source, an encoder, a channel, noise, a decoder, and a message receiver.

A crucial aspect of Shannon's theory is the separation of the technical problem of message delivery from the meaning of the message itself. He introduced the concept of entropy as a measure of information and developed formulas to determine the maximum data rate a channel can handle, considering factors like bandwidth and signal-to-noise ratio. This work has had a profound impact on fields like communication engineering, computer science, and even linguistics.12345

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information theory
Historical background
…1948 of Claude Shannon’s “A Mathematical Theory of Communication” in the Bell System Technical Journal. A key step in Shannon’s work was his realization that, in order to have a theory, communication signals must be treated in isolation from the meaning of the messages that they transmit. This view…
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…1948 of Claude Shannon’s “A Mathematical Theory of Communication” in the Bell System Technical Journal. A key step in Shannon’s work was his realization that, in order to have a theory, communication signals must be treated in isolation from the meaning of the messages that they transmit. This view…
Read More

Claude Shannon
In 1948 Shannon published “A Mathematical Theory of Communication,” which built on the foundations of other researchers at Bell Labs such as Harry Nyquist and R.V.L. Hartley. Shannon’s paper, however, went far beyond the earlier work. It established the basic results of information theory in such a complete form…
Read More
In 1948 Shannon published “A Mathematical Theory of Communication,” which built on the foundations of other researchers at Bell Labs such as Harry Nyquist and R.V.L. Hartley. Shannon’s paper, however, went far beyond the earlier work. It established the basic results of information theory in such a complete form…
Read More