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The impulse response of a dynamic system is its output when presented with a brief input signal, called an impulse.
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Why impulse response
The impulse response of an LTI system fully characterizes the system. It is unique to the LTI system.
Just to give you some examples:
The impulse response lets you make statements about the stabil …
2
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Impulse response of the inverse system to the backward difference
I'm currently stuck on a problem. I have a DT LTI system $\mathcal{T}$ that depicts the first backward difference:
$$y[n] = \mathcal{T} \{ {x[n] \} } = x[n] - x[n-1]$$
Its impulse response is there …