Empiriceme · Evidence · Theorem

Shannon's Law

Also called Shannon–Hartley theorem

Channel capacity grows with bandwidth and only logarithmically with the signal-to-noise ratio.

Shannon's 1948 result. Capacity grows only logarithmically with power, which is why more transmitter power buys so little and more bandwidth buys so much.

In practice

  • A rural link that doubles its transmitter power gains a few per cent of throughput; the same link given twice the spectrum roughly doubles it.
  • A team that adds staff to a communication-bound process gains little; one that widens the channel gains a great deal.
Subject
Technology & Software
Essay
The curves, the limits and the laws of software

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