How to Calculate Signal to Noise Ratio (SNR) - Tutorial

How to Calculate Signal to Noise Ratio (SNR) - Definition, Formula, Example

Definition :

Signal to noise ratio is a measurement of the audio signal level compared to the noise level present in the signal. SNR specifications are used in components such as amplifiers, CD/DVD players etc.,

Formula:

SNR = μ/σ Where, μ - Mean, σ - Standard Deviation, SNR - Signal to Noise Ratio.
Example:

Calculate Signal to Noise Ratio for the audio signal series (50,30,20,35,25).

Solution :

First, let us calculate the value of Mean and Standard Deviation

Step1
Mean (μ) = ∑ X / n
  = (50+30+20+35+25) / 5
  = 160 / 5
  = 32
Step2
Standard Deviation (σ) = √∑(X-μ)2 / n-1
  = √(50-32)2 + (30-32)2 + (20-32)2 + (35-32)2 + (25-32)2 / 4
  = √182 + -22 + -122 + 32 + -72 / 4
  = √530 / 4
  = √132.5
  = 11.51086
Step3
Now, calculate the value of Signal to Noise Ratio
SNR = μ / σ
  = 32 / 11.51086
  = 2.7799834243488326

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