Signal to Noise Ratio Calculator

Formula

To calculate the Signal to Noise Ratio (SNR):

\[ \text{SNR} = 10 \times \log_{10} \left( \frac{\text{Signal Power}}{\text{Noise Power}} \right) \]

Where:

\(\text{SNR}\) is the Signal to Noise Ratio in decibels (dB)
Signal Power is the power of the signal in watts (W)
Noise Power is the power of the noise in watts (W)

What is the Signal to Noise Ratio?

The Signal to Noise Ratio (SNR) measures the level of a desired signal to the level of background noise. It is expressed in decibels (dB) and is a crucial parameter in fields like audio engineering, telecommunications, and data transmission[^1^][^2^].

Example Calculation 1

Let's assume the following values:

Signal Power = 50 W
Noise Power = 5 W

Using the formula:

\[ \text{SNR} = 10 \times \log_{10} \left( \frac{50}{5} \right) = 10 \times \log_{10} (10) = 10 \times 1 = 10 \text{ dB} \]

The Signal to Noise Ratio is 10 dB.

Example Calculation 2

Let's assume the following values:

Signal Power = 100 W
Noise Power = 10 W

Using the formula:

\[ \text{SNR} = 10 \times \log_{10} \left( \frac{100}{10} \right) = 10 \times \log_{10} (10) = 10 \times 1 = 10 \text{ dB} \]

The Signal to Noise Ratio is 10 dB.