SNR Calculator

Signal-to-Noise Ratio

Calculate the Signal-to-Noise Ratio (SNR) in decibels (dB) for power or voltage measurements.

Last updated: March 2026 | By ForgeCalc Engineering

SNR (dB)
20
Decibels (dB)
Linear Ratio
100.00:1

What is Signal-to-Noise Ratio?

Signal-to-Noise Ratio (SNR) is a measure used in science and engineering that compares the level of a desired signal to the level of background noise. It is defined as the ratio of signal power to the noise power, often expressed in decibels (dB).

A higher SNR indicates a clearer signal with less background interference. In audio, a high SNR means cleaner sound; in imaging, it means less graininess; and in data transmission, it means fewer errors.

The Formula

Power SNR

SNR_dB = 10 × log₁₀(P_s / P_n)

P_s = Signal Power, P_n = Noise Power

Voltage SNR

SNR_dB = 20 × log₁₀(V_s / V_n)

V_s = Signal Voltage, V_n = Noise Voltage

Frequently Asked Questions

What is a 'Good' SNR?

It depends on the application. For high-quality audio, 90dB+ is excellent. For digital communications, 10-20dB might be sufficient for reliable data transfer.

Can SNR be negative?

Yes. A negative SNR (in dB) means the noise level is higher than the signal level. This is common in advanced signal processing where signals are 'buried' in noise.

What is the difference between SNR and SINAD?

SNR only compares signal to noise. SINAD (Signal-to-Noise and Distortion) also includes the power of harmonic distortion in the denominator, providing a more complete measure of signal quality.

How does bandwidth affect SNR?

Generally, increasing the bandwidth of a system increases the total noise power (as noise is often spread across frequencies), which can lower the SNR.

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