Signal to Noise Ratio Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

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]

+10%

-10%

✖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]

⎘ Copy

👎

Formula

✖

Signal to Noise Ratio

Formula

`"SNR" = (6.02*"N"_{"res"})+1.76`

Example

`"13.8"=(6.02*"0.002kb")+1.76`

Calculator

LaTeX

Reset

👍

Download Digital Communication Formulas PDF

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)

You are here -

Home » Engineering » Electronics » Digital Communication » Modulation Parameters » Signal to Noise Ratio

Credits

Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< 11 Modulation Parameters Calculators

Quantization Step Size

Go Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels

Bit Rate of Raised Cosine Filter using Rolloff Factor

Go Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff Factor)

Attenuation given Voltage of 2 Signals

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

Attenuation given Power of 2 Signals

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

Number of Samples

Go Number of Samples = Maximum Frequency/Sampling Frequency

Bit Rate

Go Bit Rate = Sampling Frequency*Bit Depth

Bit Rate of Raised Cosine Filter given Time Period

Go Bit Rate of Raised Cosine Filter = 1/Signal Time Period

Signal to Noise Ratio

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

Number of Quantization Levels

Go Number of Quantisation Levels = 2^Resolution of ADC

Nyquist Sampling Frequency

Go Sampling Frequency = 2*Message Signal Frequency

Bit Rate using Bit Duration

Go Bit Rate = 1/Bit Duration

Signal to Noise Ratio Formula

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.

Home

FREE PDFs

🔍 Search