Question

What is the linearity & the signal-to-noise ratio in general? (answer typed please)

Answer 1

Linearity: This condition provides us the relation between input and output. If the system satisfies Linearity Condition it should obey Homogeneity and Additivity.

• Homogeneity: If we double the Input, the output should be doubled.
  • X -> Y ==> 2(X) -> 2(Y)
• Additivity: If we give input as the sum of two or more inputs, the output should be the sum of individual outputs.
  • X₁ -> Y₁ and X₂ -> Y₂ ==> X₁+ X₂ -> Y₁ + Y₂

Signal to Noise ratio (SNR): This will give us information about the level of desirable signal to the level of background noise. As the term itself indicates it is the ratio between Singal Power to Noise Power. It will be measured in dB (Decibels).

SNR = (Signal Power)/(Noise Power)