(New page: == Basics of Linearity == Given: <math>e^{2jt}\!</math> through a system produces <math>e^{-2jt}\!</math>, and <math>e^{-2jt}\!</math> produces <math>e^{2jt}\!</math>. what is the output...) |
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<math>e^{2jt}\!</math> through a system produces <math>e^{-2jt}\!</math>, and <math>e^{-2jt}\!</math> produces <math>e^{2jt}\!</math>. what is the output of <math>cos(2t)\!</math> | <math>e^{2jt}\!</math> through a system produces <math>e^{-2jt}\!</math>, and <math>e^{-2jt}\!</math> produces <math>e^{2jt}\!</math>. what is the output of <math>cos(2t)\!</math> | ||
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| + | <math>cos(2t)\!</math> can also be written as <math>(e^{2jt} + e^{-2jt})/2\!</math> | ||
Revision as of 16:46, 18 September 2008
Basics of Linearity
Given:
$ e^{2jt}\! $ through a system produces $ e^{-2jt}\! $, and $ e^{-2jt}\! $ produces $ e^{2jt}\! $. what is the output of $ cos(2t)\! $
$ cos(2t)\! $ can also be written as $ (e^{2jt} + e^{-2jt})/2\! $
