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Signal to Noise Ratio Formula

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Signal to noise ratio is the ratio between the power of a signal and the power of the background noise. Check FAQs

SNR = (6.02 \cdot N res) + 1.76

SNR - Signal to Noise Ratio?N_res - Resolution of ADC?

Signal to Noise Ratio Example

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Here is how the Signal to Noise Ratio equation looks like with Values.

Here is how the Signal to Noise Ratio equation looks like with Units.

Here is how the Signal to Noise Ratio equation looks like.

13.8 = (6.02 \cdot 0.002) + 1.76

13.8 = (6.02 \cdot 0.002kb) + 1.76

13.8 = (6.02 \cdot 0.002) + 1.76

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Signal to Noise Ratio Solution

Follow our step by step solution on how to calculate Signal to Noise Ratio?

FIRST Step Consider the formula

SNR = (6.02 \cdot N res) + 1.76

Next Step Substitute values of Variables

∴

SNR = (6.02 \cdot 0.002kb) + 1.76

Next Step Convert Units

∴

SNR = (6.02 \cdot 2bits) + 1.76

Next Step Prepare to Evaluate

∴

SNR = (6.02 \cdot 2) + 1.76

LAST Step Evaluate

∴

SNR = 13.8

Signal to Noise Ratio Formula Elements

Variables

Signal to Noise Ratio

Signal to noise ratio is the ratio between the power of a signal and the power of the background noise.

Symbol: SNR

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Signal to Noise Ratio

Resolution of ADC

Resolution of ADC refers to the level of detail or precision with which an analog signal is converted into a digital representation.

Symbol: N_res

Measurement: Data StorageUnit: kb

Note: Value should be greater than 0.

Formulas to find Resolution of ADC

Other formulas in Modulation Parameters category

Go Bit Rate

R = f s \cdot BitDepth

Go Bit Rate using Bit Duration

R = \frac{1}{T b}

Go Attenuation given Power of 2 Signals

dB = 10 \cdot (\log 10 (\frac{P 2}{P 1}))

Go Attenuation given Voltage of 2 Signals

dB = 20 \cdot (\log 10 (\frac{V2}{V1}))

How to Evaluate Signal to Noise Ratio?

Signal to Noise Ratio evaluator uses Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76 to evaluate the Signal to Noise Ratio, Signal to noise ratio(SNR) is a measurement parameter that compares the level of the desired signal to the level of background noise. The maximum theoretical Signal-to-Noise Ratio (SNR) for an ADC can be determined based on the RMS quantization error. If a Full-Scale (FS) sine wave is applied to the input of the ADC, the maximum theoretical SNR is determined by the above formula. Signal to Noise Ratio is denoted by SNR symbol.

How to evaluate Signal to Noise Ratio using this online evaluator? To use this online evaluator for Signal to Noise Ratio, enter Resolution of ADC (N_res) and hit the calculate button.

FAQs on Signal to Noise Ratio

What is the formula to find Signal to Noise Ratio?

The formula of Signal to Noise Ratio is expressed as Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76. Here is an example- 13.8 = (6.02*2)+1.76.

How to calculate Signal to Noise Ratio?

With Resolution of ADC (N_res) we can find Signal to Noise Ratio using the formula - Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76.

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