Revision as of 16:03, 18 September 2008 by Nkgentry (Talk)

Linearity

If a linear system has a response to exp(2jt) of t*exp(-2jt) and a response to exp(-2jt) of t*exp(2jt), then it's response to cos(2t) must be t*cos(2t).

To look at this in more detail, we can consider the following expression: $ cos(2t)! $ Can be represented as $ = \frac{1}{2}(e^{-2jt}+e^{2jt})\! $

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