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We are given a linear system that behaves as follows, | We are given a linear system that behaves as follows, | ||
| − | <math> e^2jt --> Sys --> t*e^-2jt | + | <math> e^(2jt) --> Sys --> t*e^-2jt |
Revision as of 08:09, 18 September 2008
Basics of Linearity
Definition of Linearity: For any constants a and b (that are complext numbers), and inputs x1(t) and x2(t) which yield outputs y1(t) and y2(t),
$ a * x1(t) + b * x2(t) ---> Sys ---> a * y1(t) + b * y2(t) $
We are given a linear system that behaves as follows,
$ e^(2jt) --> Sys --> t*e^-2jt $
