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== Definition of Linear System == | == Definition of Linear System == | ||
| − | A system is considered linear if for any constants a, b that exist within the complex domain and for any inputs <math>x_1(t)</math> and x_{2}(t) yielding outputs <math>y_{1}(t)</math> and y_2(t) respectively, the response to x_1(t) + bx_{2}(t) is y_1(t) + by_{2}(t) | + | A system is considered linear if for any constants a, b that exist within the complex domain and for any inputs <math>x_1(t)\!</math> and <math>x_{2}(t)\!</math> yielding outputs <math>y_{1}(t)\!</math> and <math>y_2(t)\!</math> respectively, the response to <math>x_1(t) + bx_{2}(t)\!</math> is <math>y_1(t) + by_{2}(t)\!</math> |
Revision as of 05:02, 12 September 2008
Definition of Linear System
A system is considered linear if for any constants a, b that exist within the complex domain and for any inputs $ x_1(t)\! $ and $ x_{2}(t)\! $ yielding outputs $ y_{1}(t)\! $ and $ y_2(t)\! $ respectively, the response to $ x_1(t) + bx_{2}(t)\! $ is $ y_1(t) + by_{2}(t)\! $
