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IIR filters are :

  • A.Recursive where present output depends on present and past inputs and output samples only
  • B.Non-recursive where present output depends on present and past input samples only
  • C.Recursive where present output depends on present and past input samples only
  • D.Non-recursive where present output depends on present and past inputs and output samples only

Answer: A

IIR filters are recursive, with the present output depending on present and past inputs and past output samples.

An infinite impulse response filter feeds past outputs back into the calculation: y(n) = Σ bk x(n − k) − Σ ak y(n − k). This feedback (recursion) is what makes its impulse response last for ever.

A filter whose output depends only on present and past inputs is non-recursive; that is the FIR filter (option B). Option C calls such a filter recursive, which is contradictory, and option D calls a filter with output feedback non-recursive.

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