Channel Capacity Calculator
Enter bandwidth and SNR. The Channel Capacity Calculator instantly computes the maximum data rate using Shannon's theorem for AWGN channels.
About the Channel Capacity Calculator
The Channel Capacity Calculator is a precise, scientifically accurate tool that computes the Shannon channel capacity — the theoretical maximum data rate for reliable communication over a noisy channel. This Channel Capacity Calculator implements Claude Shannon's famous formula C = B log₂(1 + SNR), the cornerstone of information theory published in 1948. Proudly supported by Agri Care Hub.
Scientific Formula
B = channel bandwidth (Hz)
S/N = signal-to-noise power ratio (linear)
C = capacity in bits per second (bps)
Why This Calculator Is Essential
Channel capacity is the ultimate limit in communications: • Defines maximum achievable data rate • Guides modem and coding design • Sets performance bounds for 5G/6G, Wi-Fi, fiber • Critical for satellite and deep-space links • Foundation of error-correcting codes • Used in spectrum allocation and regulation Shannon's theorem proves no reliable communication above C is possible, regardless of complexity.
How to Use
- Enter bandwidth B in Hz (e.g., 1e6 for 1 MHz).
- Enter SNR in dB (typical 10–30 dB).
- Click “Calculate Channel Capacity”.
- Get capacity in bps, Mbps, Gbps.
When Should You Use This Tool?
- Communication system design
- Link budget and performance analysis
- 5G/6G and wireless planning
- Satellite and fiber optics
- Teaching information theory
- Regulatory spectrum efficiency
Scientific Foundation
Channel capacity was derived by Claude Shannon in 1948 as the maximum mutual information between input and output. The formula C = B log₂(1 + SNR) is exact for additive white Gaussian noise (AWGN) channels and represents the fundamental limit of communication. Modern codes (LDPC, Turbo) approach within 1 dB of this limit. Full theory at Channel Capacity on Wikipedia and Shannon’s original paper.
Conclusion
The Channel Capacity Calculator brings Shannon's revolutionary theorem to your browser — with perfect accuracy and beautiful design. Whether you’re a student learning information theory, an engineer designing communication links, or a researcher pushing capacity limits, this tool delivers precise results every time. For more engineering tools, visit Agri Care Hub.