Concept of Linearity in Signals and Systems

In the context of signals and systems, linearity refers to a property where the system obeys the principles of superposition and homogeneity.

Linearity in signals and systems means that the output scale of a system is directly proportional to the input scale, and the system must satisfy the following conditions:

1. Additivity: If two signals are inputted simultaneously, the system's response is the sum of the individual responses to each signal.
2. Homogeneity: If the amplitude of the input signal is scaled by a constant factor, the output signal is also scaled by the same constant factor.

Linearity is a fundamental concept in signal processing and is crucial for analyzing and designing systems in various engineering disciplines.