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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
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Examples: <math>y(t) = x(t) + t + 2</math> - Causal because the input values are depending on the present time
           y(t) = \int_t^\infty
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           <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 19:03, 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

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett