NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW VERSION: "Introduction to Digital Filters with Audio Applications", by Julius O. Smith III, Copyright © 2017-11-26 by Julius O. Smith III - Center for Computer Research in Music and Acoustics (CCRMA), Stanford University
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Conjectured Properties
The following conjectures are true for analog positive-real functions, but no rigorous attempt was made to establish them in the discrete-time case.
- If all poles and zeros of a PR function are on the unit circle, then they alternate along the circle.
- If
is PR, then so is
, where the prime denotes differentiation in
.