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Shannon's law

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Shannon's law

A formula in Claude Shannon's information theory for determining the maximum, error-free rate of a digital communications channel. It is based on the channel's bandwidth and signal-to-noise ratio. See information theory and laws.


      Shannon's Law

      C = maximum data rate of channel
      W = bandwidth of channel
      S = signal-to-noise ratio

      C = W log2(1 + S)



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By the early 1990s, state-of-the-art codes were typically getting information across at only about half the rate that Shannon's law said was possible.
 
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