Shannon's Capacity Calculator

How to Use:
  1. Input the channel bandwidth in Hertz (Hz) in the provided field.

  2. Input the Signal-to-Noise Ratio (SNR) as a linear ratio or in dB.

  3. Select whether the SNR value is entered as a ratio or in decibels (dB) by clicking the appropriate radio button.

  4. Press the "Calculate Capacity" button to compute the channel capacity.

  5. The calculated channel capacity will be displayed below in bits per second.

    This tool quickly helps determine channel capacity based on Shannon's formula!

Welcome to my Shannon's Capacity Calculator page

Calculate channel capacity using Shannon's formula with ease, by inputting bandwidth (W) and SNR values in either ratio or dB.

Shannon's Formula

The Channel Capacity (C) can be calculated using Shannon's Formula:

Where:

  • C is the channel capacity in bits per second (bps).

  • B is the bandwidth of the channel in Hertz (Hz).

  • SNR is the signal-to-noise ratio (either as a ratio or in dB)

Importance of Shannon's Formula

Shannon's formula is a cornerstone of information theory, providing the maximum data rate (capacity) a communication channel can achieve under ideal conditions, considering its bandwidth and signal-to-noise ratio. This formula is critical for:

  1. Designing and optimizing communication systems such as wireless networks, fiber optics, and satellite communications.

  2. Determining the theoretical limit for efficient data transmission over noisy channels.