(Causal System Definition)
 
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== Causal System Definition ==
 
== Causal System Definition ==
A causal system is one whose output at some current time <math>t_0</math> only depends on some input, <math>x(t)</math>, at the current <math>t</math> or a <math>t</math> in the past, never from <math>x(t)</math> at a future <math>t</math>.
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A causal system is one whose output at some current time <math>t_0</math> only depends on some input, <math>x(t)</math>, at the current <math>t_0</math> or a <math>t</math> in the past, never from <math>x(t)</math> at a future <math>t</math>.
  
 
== Non-Causal System Definition ==
 
== Non-Causal System Definition ==
A non-causal system is one whose output at some time <math>t</math> depends on future inputs as well as possibly past or current inputs.
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A non-causal system is one whose output at some time <math>t_0</math> depends on future inputs as well as possibly past or current inputs.
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EDIT: Added <math>t_0</math> per discussion suggestions.

Latest revision as of 10:26, 17 September 2008

Causal System Definition

A causal system is one whose output at some current time $ t_0 $ only depends on some input, $ x(t) $, at the current $ t_0 $ or a $ t $ in the past, never from $ x(t) $ at a future $ t $.

Non-Causal System Definition

A non-causal system is one whose output at some time $ t_0 $ depends on future inputs as well as possibly past or current inputs.

EDIT: Added $ t_0 $ per discussion suggestions.

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Ruth Enoch, PhD Mathematics