Systems and Linearity


This is an unevaluated Mathematica notebook. If you do not have a copy of Mathematica handy, you may want to also view the evaluated 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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