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A finite impulse response (FIR) filter is a type of a signal processing filter whose impulse response is of finite duration.

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How to find the impulse response from the following input/output relation

Suppose we have a system defined with input $x(t)$, and output $y(t)$, related by $$ y(t) = \sum_i \alpha_i(t)x(t-\tau_i(t)) \tag 1 $$ This is a linear system, (according to the textbook), so we can w …
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