Shannon Capacity Calculator

Shannon Capacity Calculator calculator can be used to calculate the maximum rate at which information can be transmitted over a communication channel with a given bandwidth and signal-to-noise ratio.

Input Parameters

Calculation Results

Calculation Formula

C = B * log2(1 + SNR)

Where:
C = Shannon capacity (bits per second)
B = Bandwidth (Hz)
SNR = Signal-to-Noise Ratio

Shannon Capacity Calculator Calculator Usage Guide

Learn how to use the Shannon Capacity Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the bandwidth of the communication channel in Hertz (Hz) in the "Bandwidth" field.
  2. Enter the signal-to-noise ratio (SNR) in the "Signal-to-Noise Ratio" field. The SNR is typically expressed as a ratio (e.g., 10 for 10 dB).
  3. Click the "Calculate" button to compute the Shannon capacity.
  4. The result will be displayed in the "Shannon Capacity" field in bits per second (bps).

Understanding the Shannon Capacity

The Shannon capacity is the maximum rate at which information can be transmitted over a communication channel without error, given the channel's bandwidth and signal-to-noise ratio. It is calculated using the formula:

C = B * log2(1 + SNR)

Where:

  • C is the Shannon capacity in bits per second (bps).
  • B is the bandwidth of the channel in Hertz (Hz).
  • SNR is the signal-to-noise ratio, which is a measure of the strength of the signal compared to the level of background noise.

This calculator helps you determine the theoretical maximum throughput of a communication channel, which is essential for designing and optimizing communication systems.