Linear System
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A linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that are much simpler than the general, nonlinear case. As a mathematical abstraction or idealization, linear systems find important applications in automatic control theory, signal processing, and telecommunications. For example, the propagation medium for wireless communication systems can often be modeled by linear systems.A general deterministic system (mathematics)|deterministic system can be described by operator, H, that maps an input, x(t), as a function of t to an output, y(t), a type of Black box (systems)|black box description. Linear systems satisfy the properties of Superposition principle|superposition and Scaling (geometry)|scaling or Homogeneous_function|homogeneity. Given two valid inputs:x_1(t) \, :x_2(t) \, as well as their respective outputs :y_1(t) = H \left \{ x_1(t) \right \}:y_2(t) = H \left \{ x_2(t) \right \}then...
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