Shannon–Hartley Theorem

on . Posted in Telecommunications Engineering


    

Shannon-Hartley Theorem Formula

\( C \;=\; B\; log_2 \; [\; 1 + ( S \;/\; N )\;] \)
Symbol English Metric
\( C \) = Channel Capacity - \(bits\;/\;s\)
\( B \) = Bandwidth of the Channel - \(MHz\)
\( S \) = Average Signal Power - \(W\)
\( N \) = Average Noise Power - \(W\)
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.  The Shannon-Hartley theorem calculator computes the theoretical upper limit data rate of a channel based on the bandwidth, receiver strength and channel 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.

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Tags: Communication System