Pole mapping

A very simple method is to simply map poles from the left-half plane to the unit circle in the plane via

where is the location of the th pole. After mapping the poles in this way, zeros can be computed in a variety of ways, such as using Prony's method [460, Section G.4.4],[281,301].

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.