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Signal to Noise Ratio Calculator

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Modulation Parameters Modulation Techniques

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

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✖Signal to noise ratio is the ratio between the power of a signal and the power of the background noise.ⓘ Signal to Noise Ratio [SNR]

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Signal to Noise Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76
SNR = (6.02*N_res)+1.76
This formula uses 2 Variables

Variables Used

Signal to Noise Ratio - Signal to noise ratio is the ratio between the power of a signal and the power of the background noise.
Resolution of ADC - (Measured in Bit) - Resolution of ADC refers to the level of detail or precision with which an analog signal is converted into a digital representation.

STEP 1: Convert Input(s) to Base Unit

Resolution of ADC: 0.002 Kilobit --> 2 Bit (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SNR = (6.02*N_res)+1.76 --> (6.02*2)+1.76

Evaluating ... ...

SNR = 13.8

STEP 3: Convert Result to Output's Unit

13.8 --> No Conversion Required

FINAL ANSWER

13.8 <-- Signal to Noise Ratio

(Calculation completed in 00.004 seconds)

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< Modulation Parameters Calculators

Attenuation given Voltage of 2 Signals

LaTeX Go Attenuation = 20*(log10(Voltage 2/Voltage 1))

Attenuation given Power of 2 Signals

LaTeX Go Attenuation = 10*(log10(Power 2/Power 1))

Bit Rate

LaTeX Go Bit Rate = Sampling Frequency*Bit Depth

Bit Rate using Bit Duration

LaTeX Go Bit Rate = 1/Bit Duration

Signal to Noise Ratio Formula

LaTeX Go

Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76
SNR = (6.02*N_res)+1.76

How the signal to noise ratio expression is obtained?

To calculate the Signal-Noise Ratio, we divide the RMS of the input signal by the RMS of the quantization noise:
SNR=20log(Signal rms voltage/noise rms voltage)
=20log(2N)+20log(√6/2)
Upon further simplification the expression turns out to be:
SNR=6.02N+1.76(dB).

Why is signal to noise ratio important?

Suppose the desired signal is essential data with a strict or narrow tolerance for errors, and there are other signals disrupting your desired signal. Again, it would make the task of the receiver exponentially more challenging to decipher the desired signal. In summary, this is what makes having a high signal to noise ratio so important. Furthermore, in some cases, this can also mean the difference in a device functioning or not, and in all cases, it affects performance between transmitter and receiver.

How to Calculate Signal to Noise Ratio?

Signal to Noise Ratio calculator uses Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76 to calculate 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 calculate Signal to Noise Ratio using this online calculator? To use this online calculator for Signal to Noise Ratio, enter Resolution of ADC (N_res) and hit the calculate button. Here is how the Signal to Noise Ratio calculation can be explained with given input values -> 13.8 = (6.02*2)+1.76.

FAQ

What is 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 and is represented as SNR = (6.02*N_res)+1.76 or Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76. Resolution of ADC refers to the level of detail or precision with which an analog signal is converted into a digital representation.

How to calculate 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 is calculated using Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76. To calculate Signal to Noise Ratio, you need Resolution of ADC (N_res). With our tool, you need to enter the respective value for Resolution of ADC and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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