Discussion
FIR filters are :
Answer: B
FIR filters are non-recursive, with the present output depending on present and past input samples only.
A finite impulse response filter computes
\[ y[n] = \sum_{k=0}^{M} b_{k}\, x[n-k] \]
so its output uses no past outputs. Without feedback its impulse response ends after M + 1 samples, and the filter is always stable.
A filter whose output also depends on past outputs is recursive; that is the IIR (infinite impulse response) structure. So the options combining recursive with inputs only, or non-recursive with past outputs, contradict the definitions.
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