Cognitive Scaffold

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MENTAL MODEL · M4570

Shannon Limit

Shannon Limit
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Version 1.0.0 · Updated 2026-07-28

CORE DEFINITION

The Shannon limit (or Shannon capacity) refers to the theoretical maximum transmission rate for error-free transmission over a channel, and is the theory of Shannon's theorem on a channel with finite bandwidth. In other words, when the signal transmission rate has not yet reached the Shannon limit, a coding method with zero error rate can be found. C. {\displaystyle C}. is the channel capacity, in bits per second (bps). B. {\displaystyle B}. is the bandwidth, in Hertz (Hz). S. / N. {\displaystyle S/N}. is the signal-to-noise ratio; this formula must use the ratio S/N, not decibels (dB).

SCAFFOLDING EFFECT

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The Shannon limit (or Shannon capacity) refers to the theoretical maximum transmission rate for error-free transmission over a channel, and is the theory of Shannon's theorem on a channel with finite bandwidth. In other words, when the signal transmission rate has not yet reached the Shannon limit, a coding method with zero error rate can be found. C. {\displaystyle C}. is the channel capacity, in bits per second (bps). B. {\displaystyle B}. is the bandwidth, in Hertz (Hz). S.

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The Shannon limit refers to the maximum information rate (channel capacity) C = B·log₂(1+S/N) that can be achieved without error under a given channel bandwidth and signal-to-noise ratio. It defines the theoretical upper bound for reliable communication.

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