(New page: == Part A: Understanding System's Properties == '''Linear System''' :<math>x_1(t) \,</math> :<math>x_2(t) \,</math> as well as their respective outputs :<math>y_1(t) = H \left \{ x_1(t)...) |
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Revision as of 13:59, 19 September 2008
Part A: Understanding System's Properties
Linear System
- $ x_1(t) \, $
- $ x_2(t) \, $
as well as their respective outputs
- $ y_1(t) = H \left \{ x_1(t) \right \} $
- $ y_2(t) = H \left \{ x_2(t) \right \} $
then a linear system must satisfy
- $ \alpha y_1(t) + \beta y_2(t) = H \left \{ \alpha x_1(t) + \beta x_2(t) \right \} $
for any scalar values $ \alpha \, $ and $ \beta \, $.
