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A system is said to be linear if it follows the following conditions | A system is said to be linear if it follows the following conditions | ||
| − | 1) The response to <math>x_1(t)</math> + <math>x_2(t)</math> is <math>y_1(t)</math> +<math>y_2(t)</math> | + | |
| + | 1) The response to <math>x_1(t)</math> + <math>x_2(t)</math> is <math>y_1(t)</math> +<math>y_2(t)</math>. | ||
| + | |||
2) The response to <math>ax_1(t)</math> is <math>ay_1(t)</math>, where a is any complex constant. | 2) The response to <math>ax_1(t)</math> is <math>ay_1(t)</math>, where a is any complex constant. | ||
Revision as of 15:06, 12 September 2008
A system is said to be linear if it follows the following conditions
1) The response to $ x_1(t) $ + $ x_2(t) $ is $ y_1(t) $ +$ y_2(t) $.
2) The response to $ ax_1(t) $ is $ ay_1(t) $, where a is any complex constant.
