Calculator Hub

Technology & Computing

Shannon-Hartley Channel Capacity Calculator

Calculate the theoretical maximum data rate of a noisy communication channel using the Shannon-Hartley theorem.

Your inputs

Change any value to update the result instantly.

Technology & Computing
Hz
dB

Channel capacity

133.1642 Mbps

Channel capacity

13,31,64,229.655 bps

Bandwidth

20 MHz

SNR (linear)

100

This is the theoretical upper bound on error-free data rate — real-world modulation and coding always achieve somewhat less.

Formula and working

C (bps) = Bandwidth (Hz) × log2(1 + SNR), where SNR (linear) = 10^(SNR dB ÷ 10)

  1. 1

    Collect the inputs

    Bandwidth = 20,000,000 Hz; Signal-to-noise ratio = 20 dB

  2. 2

    Apply the formula

    C (bps) = Bandwidth (Hz) × log2(1 + SNR), where SNR (linear) = 10^(SNR dB ÷ 10)

  3. 3

    Result

    Channel capacity = 133.1642 Mbps

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

Report a mistake or request an improvement

Tell us if a formula, unit, explanation, or result needs attention. Your message will include this calculator’s name and page.

Related calculators

Back to Calculator Hub