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    $\begingroup$ Could you give some references to the papers you mentioned? Also note that the impulse response of any stable IIR filter must be decaying sufficiently fast, so it's clear that it can be approximated arbitrarily closely by an FIR system with a sufficiently long impulse response. $\endgroup$ Commented Jan 30, 2016 at 16:37
  • $\begingroup$ what-is-the-best-first-order-iir-approximation-to-a-moving-average-filter is the other way around, but has plaots and tables comparing the two. $\endgroup$ Commented Nov 20, 2016 at 14:49