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Definition: An LTI system that depends only on the present and past values of the input to the system. A system that is not causal depends on future values of the input to the system. | Definition: An LTI system that depends only on the present and past values of the input to the system. A system that is not causal depends on future values of the input to the system. | ||
| − | Examples: y(t) = x(t) + t + 2 - Causal because the input values are depending on the present time | + | Examples: <math>y(t) = x(t) + t + 2</math> - Causal because the input values are depending on the present time |
| − | <math>y(t) = \int_t^\infty x(t) dt</math> | + | <math>y(t) = \int_t^\infty x(t) dt</math> - Not causal because the input values are depending on the future |
Latest revision as of 18:03, 1 July 2009
Causal Systems
Definition: An LTI system that depends only on the present and past values of the input to the system. A system that is not causal depends on future values of the input to the system.
Examples: $ y(t) = x(t) + t + 2 $ - Causal because the input values are depending on the present time
$ y(t) = \int_t^\infty x(t) dt $ - Not causal because the input values are depending on the future
