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Shannon Channel Capacity Calculator

Estimate the Shannon capacity bound for a bandwidth and linear SNR assumption.

Your numbers

Free calculator
YOUR RESULT
4,000,000bits/s

Calculated in your browser. Your inputs aren’t uploaded.

When to use this calculator

Estimate the Shannon capacity bound for a bandwidth and linear SNR assumption. Ideal additive-white-Gaussian-noise channel bound, not an actual network speed prediction.

Explore the networks & service capacity calculators for other questions in this topic. For a related calculation, use the Signal to Noise Ratio Calculator: Compare signal power with noise power as a decibel ratio.

PUTTING IT INTO PRACTICE

Shannon Channel Capacity: a worked example

The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.

Example inputs and calculated result
InputExample value
Bandwidth (Hz)1,000,000
Linear signal-to-noise power ratio15
Result4,000,000 bits/s
  1. Check the input labels and enter the example values above.
  2. Apply the relationship: Ideal capacity = bandwidth × log₂(1+SNR).
  3. The result is 4,000,000 bits/s, rounded for display.

How to interpret your result

Ideal additive-white-Gaussian-noise channel bound, not an actual network speed prediction.

Bits and bytes differ by eight. Average request rate can hide peaks and concurrency. A packet’s serialization delay is only one part of end-to-end network latency.

A useful next step is the Download Time Calculator: Estimate the minimum time to download a decimal-megabyte file at a fixed speed.

Frequently asked questions

Does serialization delay equal network latency?

No. Propagation, queuing, processing, framing and other paths can add to total latency.

When is the shannon channel capacity calculator useful?

Estimate the Shannon capacity bound for a bandwidth and linear SNR assumption. Ideal additive-white-Gaussian-noise channel bound, not an actual network speed prediction.

How do I use the shannon channel capacity calculator?

Enter bandwidth (hz), linear signal-to-noise power ratio. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.

Which formula does this calculator use?

Ideal capacity = bandwidth × log₂(1+SNR).

What should I check before using the result?

Ideal additive-white-Gaussian-noise channel bound, not an actual network speed prediction.

How are results rounded?

Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.

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