Shannon-Hartley Theorem formula |
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| \( C \;=\; B\cdot log_2 ( 1 + \dfrac{S}{N} ) \) | ||
| Symbol | English | Metric |
| \( C \) = Channel Capacity |
\( bits \;/\; s \) | \( bits \;/\; s \) |
| \( B \) = Bandwidth of the Channel | \(Hz\) | \(Hz\) |
| \( S \) = Average Receiver Signal Power | \(W\) | \(W\) |
| \( N \) = Average Noise Power | \(W\) | \(W\) |
Shannon-Hartley theorem is a principle that defines the maximum data transmission rate, or channel capacity, of a communication system in the presence of noise. It states that the maximum achievable rate of error-free data transmission over a channel of bandwidth is determined by the signal-to-noise ratio (SNR) of that channel. This relationship shows that increasing the bandwidth or improving the signal-to-noise ratio allows for higher data transmission rates. The Shannon-Hartley theorem is used in telecommunications and digital communications, as it sets the theoretical limit for how efficiently information can be transmitted through a noisy channel without errors.
This formula calculates the maximum data rate that can be transmitted over a communication channel without error, given its bandwidth and signal-to-noise ratio.
