(New page: == 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), <math>a * x...) |
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'''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), | '''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), | ||
| − | <math>a * x1(t) + b * x2(t) ---> Sys ---> a * y1(t) + b * y2(t) | + | <math>a * x1(t) + b * x2(t) ---> Sys ---> a * y1(t) + b * y2(t)</math> |
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| + | We are given a linear system that behaves as follows, | ||
| + | <math> | ||
Revision as of 07:07, 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,
