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themadme

Recursive Filtering

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Hi, I am unsure what Recursive is or Infinite/finite impulse response filters are? Are the similar to low/high pass filtering or parametric equalizer or something similar? Am I completely off base here or close? Thanks.

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A finite impulse response (FIR) filter has an impulse response (i.e. the output for an instantaneous pulse input) of finite length (i.e. after a certain time the output remains zero forever), while an infinite impulse response (IIR) filter never stops producing nonzero outputs once excited.

Since by definition FIR filters have a finite memory of past inputs and IIR filters have an unlimited memory, the former are implemented by convolving an usually long sequence of past inputs with an equally long impulse response for each output sample (without feedback) and the latter need some form of feedback to update some internal state that depends on all past inputs.

The impulse response of both FIR and IIR filters can be lowpass or highpass or bandpass or anything else; it's a completely independent classification.



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