What is Signal to Noise Ratio? – Formula, Application | New Topic [2024]

In this note, we are going to learn about a topic called “What is Signal to Noise Ratio?“, also about its formula and applications as well. Welcome to Poly Notes Hub, a leading destination for engineering notes for diploma and degree engineering students.

Author Name: Arun Paul.

What is Signal to Noise Ratio?

The Signal to Noise Ratio or SNR is a measurement used in science and engineering to determine how much noise has damaged a signal. It is defined as the power of a signal (meaningful information) divided by the power of background noise (unwanted signal). A greater SNR suggests that the signal is cleaner and less distorted by noise.

Formula of SNR

Mathematically, Signal to Noise Ratio formula is expressed as –

SNR = (P_signal/P_noise)

where,

• P_signal = Average power of the signal
• P_noise = Average power of the noise.

The SNR also can be represented in decibel or dB by using the formula –

SNR_dB​=10log₁₀​(P_signal/​P_noise​​)

Applications of SNR

Here are we listed some uses of SNR –

1. Used in audio engineering.
2. Used in communication systems.
3. Used in scientific measurements.
4. Used in medical imaging, astronomy, and photography.