Shannon Capacity
Channel capacity limit
The existing interactive chart shows the logarithmic SNR payoff and the linear capacity gain from bandwidth.
The curve shows the logarithmic SNR payoff; the bandwidth strip shows why wider channels scale capacity directly.
Spectral efficiency limit
capacity per hertz vs received SNR
Bandwidth scaling at fixed SNR
1.000 MHz
3.459 b/s/Hz
C = B log2(1 + SNR)
Channel capacity
3.459 Mbps
3,459,432 bps
Spectral efficiency
3.459 bit/s/Hz
At the Shannon limit
Signal-to-noise ratio
10.00 dB
10.000 linear power ratio
Required Eb/N0
4.61 dB
2.891 linear
Open Source and Easy to Use Elsewhere
This tool is open source and the underlying logic is fully transparent. You can inspect the code, understand the calculations, and contribute improvements. If you want to use the tool in your own website, course page, or learning platform, you can also embed it directly and start from a ready-made iframe setup for this exact tool.
Open source: review the implementation and see how the results are produced.
Embeddable: preview this tool, copy the iframe, and use it in your own site or LMS.