Shannon-Hartley Theorem Calculator

Formula

The formula to calculate the Channel Capacity (C) is:

\[ C = B \times \log_2(1 + \text{SNR}) \]

Where:

Channel Capacity (C): The maximum rate at which information can be transmitted over a communication channel.
Bandwidth (B): The range of frequencies within a given band, in particular that used for transmitting a signal.
Signal-to-Noise Ratio (SNR): The ratio of the power of a signal to the power of background noise.

Let's say the bandwidth (B) is 1000 Hz and the signal-to-noise ratio (SNR) is 10. Using the formula:

\[ C = 1000 \times \log_2(1 + 10) \]

We get:

\[ C \approx 3321.93 \text{ bits per second} \]

So, the channel capacity is approximately 3321.93 bits per second.