(New page: == Part B: The Basics of Linearity == === Linear System Properties === The System takes the input and creates an output following these guidelines: <math> e^{2jt} \rightarrow System \...) |
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Revision as of 09:17, 16 September 2008
Part B: The Basics of Linearity
Linear System Properties
The System takes the input and creates an output following these guidelines:
$ e^{2jt} \rightarrow System \rightarrow te^{-2jt}\! $
$ e^{-2jt} \rightarrow System \rightarrow te^{2jt}\! $
Therefore the System modifies the signal accordingly:
$ x(t) \rightarrow System \rightarrow tx(-t)\! $
Linear System's response to Cos(2t)
Following this particular Linear System's properties:
$ cos(2t) \rightarrow System \rightarrow tcos(-2t)\! $
