Systems and Linearity


This is an evaluated Mathematica notebook. Since the notebook is intended to be interactive, it may be helpful to also view the unevaluated version

by David Messerschmitt

System

Linear time-invariant (LTI) continuous-time system

System with complex-valued inputs and outputs

Complex representations of sinusoids

Linear time- or shift-invariant systems don't change the frequency of sinusoids

Demonstration: LTI system response to sinusoid

Frequency response of a system

Demonstration: frequency response

Determining system response to a superposition of sinusoids

Demonstration: Response of a system to two sinusoids

Key points you have learned


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