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| − | Linearity is... | + | Linearity is defined as a system that contains superposition in the book(Signals and Systems 2nd ed. Oppenheim, 53). How I see it is if the input signal has a magnitude applied to it the output should have a magnitude applied to it. Also if two signals are added it would be as if each signal had went through the system and then had been added. |
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== Linear System Example == | == Linear System Example == | ||
<math>Y(t) = x(t)</math> | <math>Y(t) = x(t)</math> | ||
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| + | <math>ax_1(t)+bx_2(t) -> [System] -> ay_1(t) + by_2(t)</math> | ||
Revision as of 13:31, 12 September 2008
Linearity is defined as a system that contains superposition in the book(Signals and Systems 2nd ed. Oppenheim, 53). How I see it is if the input signal has a magnitude applied to it the output should have a magnitude applied to it. Also if two signals are added it would be as if each signal had went through the system and then had been added.
Linear System Example
$ Y(t) = x(t) $
$ ax_1(t)+bx_2(t) -> [System] -> ay_1(t) + by_2(t) $
