The formula to calculate the signal-to-noise ratio (SNR) is:
\[ \text{SNR} = 20 \log_{10} \left( \frac{S}{N} \right) \]
Where:
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).
Let's assume the following values:
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.
Let's assume the following values:
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.