Additivity and Homogeneity:

Linearity can be thought of as consisting of two properties:

• Additivity

A system is said to be additive if for any two input signals x₁(t) and x₂(t),

i.e. the output corresponding to the sum of any two inputs is the sum of the two outputs.

• Homogeneity (Scaling)

A system is said to be homogenous if, for any input signal X(t),

i.e. scaling any input signal scales the output signal by the same factor.