Equations · equation
Shannon–Hartley Channel Capacity
Information Theory · 1948
- Equation
- C = B·log₂(1 + S/N)
- Field
- Information Theory
- Named After
- Claude Shannon · Ralph Hartley
- Symbols
- C maximum error-free data rate (bits per second) · B bandwidth of the channel · S/N signal-to-noise power ratio
- Year
- 1948
Significance
Every noisy channel has an exact speed limit — and below it, astonishingly, communication can be made error-free with clever coding. The theorem every modem, Wi-Fi router, 5G mast, and deep-space probe has spent seventy years engineering toward.
Referenced by
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