The Shannon-Hartley Theorem calculator computes the theoretical upper limit data rate of a channel based on the bandwidth, receiver strength and channel noise.
INSTRUCTIONS: Choose units and enter the following:
- (B) Bandwidth of Channel
- (S) Received Power over Channel
- (N) Average Noise over Channel
Channel Capacity(C): The calculator returns the upper limit in bits per second. However, this can be automatically converted to compatible units via the pull-down menu.
The Math / Science
In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified bandwidth in the presence of noise. The Shannon-Hartley formula is:
C = B⋅log2(1 + S/N)
where:
- C = channel upper limit in bits per second
- B = bandwidth of channel in hertz
- S = received power over channel in watts
- N = mean noise strength on channel in watts
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References
- https://en.wikipedia.org/wiki/Logarithm