Linear Time-Invariant System

A linear time invariant, or LTI, system is one in system analysis that produces an output signal from any input signal subject to the constraints of linearity and time invariance, properties that hold for many important physical systems and allow its response to be found through convolution. LTI system theory has broad application across electrical circuit analysis and design, signal processing and filter design, control theory, mechanical engineering, image processing and other technical fields involving ordinary differential equations. Such systems are generally easier to analyze than time varying or nonlinear systems; any electrical circuit made up of resistors, capacitors, inductors and linear amplifiers is an example of an LTI system.