# Shannon–Hartley Theorem

on . Posted in Telecommunications Engineering

Shannon-Hartley theorem defines the maximum data rate (or channel capacity) that can be achieved over a communication channel with a specified bandwidth in the presence of noise.

**Channel Capacity**- The maximum achievable rate of information transmission over a given communication channel without errors.**Bandwidth**- The range of frequencies over which the signal is transmitted.**Signal-to-Noise Ratio**- The ratio of the power of the signal to the power of the noise.- The theorem shows that the channel capacity increases with both the bandwidth and the SNR.
- It provides the upper bound on how much information can be reliably transmitted over a channel, regardless of the coding and modulation schemes used.

The Shannon-Hartley theorem calculator computes the theoretical upper limit data rate of a channel based on the bandwidth, receiver strength and channel noise.

## Shannon-Hartley theorem formula |
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\( C \;=\; B\; log_2 \; [\; 1 + ( S \;/\; N )\;] \) | ||

Symbol |
English |
Metric |

\( C \) = Channel Capacity | - | \(bits\;/\;s\) |

\( B \) = Bandwidth of the Channel | - | \(MHz\) |

\( S \) = Average Signal Power | - | \(W\) |

\( N \) = Average Noise Power | - | \(W\) |

Tags: Communication System