Dear group, I'm new here. I subscribed to comp.dsp because I'm puzzled by a statement from Simon Haykin in his book: Adaptive Filter Theory (fourth edition) In section 1.6 page 52 he describes the Wold decomposition. There he writes: "... A solution of particular interest is an all-zero filter that is minimum phase, which means that all the zeros of the polynomial B(z) lie inside the unit circle. In such a case, we may replace the all-zero filter with an equivalent all-pole filter that has the same impulse response. ..." I understand that the all-zero filter refers to an FIR filter and all-pole refers to an IIR filter. That means the text implies that it is possible to replace an FIR filter of minimum phase with an equivalent IIR filter. I always thought this would be impossible. Any suggestions on that topic? Greetings, Oliver Faust

# Is it possible to replace an FIR with an IIR filter?

Started by ●January 21, 2006

Reply by ●January 21, 20062006-01-21

Oliver Faust <oliver.faustremoveme@googlemail.com> wrote:> I understand that the all-zero filter refers to an FIR filter and > all-pole refers to an IIR filter. That means the text implies that it > is possible to replace an FIR filter of minimum phase with an > equivalent IIR filter.... but order that IIR will be infinite. The same in case finite IIR -> infinite order FIR.> I always thought this would be impossible. > Any suggestions on that topic?

Reply by ●January 21, 20062006-01-21