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Linear time-invariant system
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==== Causality ==== {{Main|Causal system}} <!--the causal system article needs work--> A system is causal if the output depends only on present and past, but not future inputs. A necessary and sufficient condition for causality is <math display="block">h(t) = 0 \quad \forall t < 0,</math> where <math>h(t)</math> is the impulse response. It is not possible in general to determine causality from the [[two-sided Laplace transform]]. However, when working in the time domain, one normally uses the [[Laplace transform|one-sided Laplace transform]] which requires causality.
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