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→Mathematical statement: Graph showing the channel capacity based on noisiness |
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{{short description|Limit on data transfer rate}}
{{redirect|Shannon's theorem|text=Shannon's name is also associated with the [[sampling theorem]]}}
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== Mathematical statement ==
[[Image:Noisy-channel coding theorem — channel capacity graph.png|thumb|right|300px|Graph showing the proportion of a channel’s capacity (''y''-axis) that can be used for payload based on how noisy the channel is (probability of bit flips; ''x''-axis)
The basic mathematical model for a communication system is the following:
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