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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