Shannon–Hartley theorem

Gives the maximum error-free data rate that a communication channel with a given bandwidth and signal-to-noise ratio can carry in the presence of white Gaussian noise. It is used to estimate the theoretical capacity limit of communication links.

C = B \log_2 \left( 1+\frac{S}{N} \right)

What the symbols mean

channel capacity, the maximum data rate in bits per second
bandwidth of the channel in hertz
average signal power
average noise power

About this formula

  • FieldComputer science
  • TopicInformation theory
  • LevelUniversity
  • Also calledchannel capacity formula, Shannon capacity, Shannon-Hartley capacity, maximum information rate, noisy channel capacity, Hartley-Shannon law
  • SourceWikidata Q1756194

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