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Signal-to-Noise Ratio (SNR) Calculator

Formula

The formula to calculate the signal-to-noise ratio (SNR) is:

$\text{SNR} = 20 \log_{10} \left( \frac{S}{N} \right)$

Where:

$\text{SNR}$ is the Signal-to-Noise Ratio (decibels, dB)
$S$ is the Signal (volts)
$N$ is the Noise (volts)

What is Signal-to-Noise Ratio (SNR)?

The signal-to-noise ratio (SNR) is a measure used in science and engineering to quantify how much a signal has been corrupted by noise. It is defined as the ratio of the power of a signal to the power of the background noise and is usually expressed in decibels (dB).

Example Calculation 1

Let's assume the following values:

Signal ( $S$ ) = 2 volts
Noise ( $N$ ) = 0.5 volts

Using the formula:

$\text{SNR} = 20 \log_{10} \left( \frac{2}{0.5} \right) = 12.0412 \text{ dB}$

The Signal-to-Noise Ratio is 12.0412 dB.

Example Calculation 2

Let's assume the following values:

Signal ( $S$ ) = 1 volt
Noise ( $N$ ) = 0.1 volts

Using the formula:

$\text{SNR} = 20 \log_{10} \left( \frac{1}{0.1} \right) = 20 \text{ dB}$

The Signal-to-Noise Ratio is 20 dB.