2. Impulse and index response of an SLP
2.1 Impulse response
We call the impulse response f (t ) of a permanent linear system the forced trajectory :
where δ (t ) represents the Dirac impulse at t = 0.
Note that for any causal system (obeying the causality axiom of physical systems, which states that no effect can ever precede the cause) the impulse response is a causal function, i.e. :
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Impulse and index response of an SLP