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For <math>x_{1}(t)\rightarrow y_{1}(t)</math> | For <math>x_{1}(t)\rightarrow y_{1}(t)</math> | ||
| + | |||
and <math>x_{2}(t)\rightarrow y_{2}(t)</math> | and <math>x_{2}(t)\rightarrow y_{2}(t)</math> | ||
Revision as of 20:52, 16 September 2008
Problem
A linear system’s response to $ e^{2jt} $ is $ te^{-2jt} $, and its response to $ e^{-2jt} $ is $ te^{2jt} $. What is the system’s response to $ cos(2t) $?
Solution
If the system is linear, then the following is true:
For $ x_{1}(t)\rightarrow y_{1}(t) $
and $ x_{2}(t)\rightarrow y_{2}(t) $
then
$ axi $
