Shannon Limit Calculator
Enter SNR or bandwidth. The Shannon Limit Calculator computes the maximum spectral efficiency or channel capacity according to Shannon's noisy channel coding theorem.
About the Shannon Limit Calculator
The Shannon Limit Calculator is a precise, scientifically accurate tool that computes the fundamental Shannon limit — the maximum achievable spectral efficiency or channel capacity for reliable communication in the presence of noise. This Shannon Limit Calculator implements Claude Shannon's noisy-channel coding theorem (1948), giving the absolute upper bound on data rate. Proudly supported by Agri Care Hub.
Scientific Formula
Channel Capacity (bps): C = B × log₂(1 + SNR)
SNR = signal-to-noise power ratio (linear)
Why This Calculator Is Essential
The Shannon limit is the holy grail of communications: • No coding scheme can exceed this bound with arbitrarily low error • Modern codes (Turbo, LDPC) approach within 0.5 dB • Guides 5G/6G, satellite, fiber design • Defines ultimate spectral efficiency • Critical for power-limited and bandwidth-limited systems • Foundation of all error-correcting codes It proves the existence of reliable communication below this limit.
How to Use
- Enter SNR in dB (typical 0–30 dB).
- Optionally enter bandwidth B for capacity in bps.
- Click “Calculate Shannon Limit”.
- Get maximum bits/s/Hz and capacity.
When Should You Use This Tool?
- Communication system performance bounds
- Coding gain evaluation
- 5G/6G spectral efficiency targets
- Satellite link budget
- Teaching information theory
- Comparing modulation/coding schemes
Scientific Foundation
The Shannon limit comes from the noisy-channel coding theorem by Claude Shannon (1948). It states that reliable communication is possible at rates up to C = B log₂(1 + SNR) and impossible above it. The proof uses random coding arguments and typical sequences. Modern codes approach this limit closely. Full theory at Shannon Limit on Wikipedia and Shannon’s original paper.
Conclusion
The Shannon Limit Calculator brings the most profound result in information theory to your browser — with perfect accuracy and beautiful design. Whether you’re a student learning Shannon's theorem, an engineer evaluating coding gains, or a researcher pushing communication limits, this tool delivers precise results every time. For more information theory tools, visit Agri Care Hub.